S2 General Mixed Homeworks 01 ------ S1 Revision 02 ------ Pythagoras 03 ------ Circle 04 ----- Algebra 05 ----- Integers 06 ----- Charts and Tables 07

S2 General Mixed Homeworks

01 ------ S1 Revision 02 ------ Pythagoras03 ------ Circle04 ----- Algebra05 ----- Integers06 ----- Charts and Tables07 ----- Number Patterns08 ----- Area and Volume09 ----- Fractions, Decimals and Percentages10 ----- Brackets and Equations11 ----- Scientific Notation12 ------ Money, Bills and Finance13 ------ Angles and Circle14 ------ Trigonometry15 ------ TDS16 ------ Proportion and Variation17 ------ More Statistics18 ------ Factors

General Maths Mixed Homework Exercise 1

1)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Evaluate,

a) 345 + 187 b) 8324 - 5776

c) 2387 x 6 d) 3808 8

2) Convert these times into 24 hour clock

a) 3:17 am b) 3:17 pm c) 11:43 pm

d) 11:43 am e) 12:00 am f) 12:00 pm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Solve for x.

a) x + 7 = 22 b) 6x = 54 c) = 5x3

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


a) 0942 b) 2038 c) 1032

d) 0006 e) 2317 f) 1200

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)

a) Find the area of this rectangle.

13 cm

4 cm

b) Find the perimeter of this rectangle.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) How long are each of these time intervals ?

a) 2:15 pm to 5:40 pm ?

b) 10:40 am to 3:25 pm ?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

c) 6:35 pm to 8:25 am ?


1)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Evaluate,

a) 345 + 187 b) 8324 - 5776

c) 2387 x 6 d) 3808 8


a) 3:17 am b) 3:17 pm c) 11:43 pm

d) 11:43 am e) 12:00 am f) 12:00 pm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Solve for x.

a) x + 7 = 22 b) 6x = 54 c) = 5x3

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


a) 0942 b) 2038 c) 1032

d) 0006 e) 2317 f) 1200

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)

a) Find the area of this rectangle.

13 cm

4 cm

b) Find the perimeter of this rectangle.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) How long are each of these time intervals ?

a) 2:15 pm to 5:40 pm ?

b) 10:40 am to 3:25 pm ?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

c) 6:35 pm to 8:25 am ?


1) Evaluate,

a) 76 x 30 b) 9 400 200 c) 17 x 4000

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

d) 8680 70 e) 843 x 900 f) 84 000 3000

2) On the same Saturday in London there were 43 568 people at Stamford Bridge, 58 457 at the Emirates Stadium and 34 776 at Upton Park.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) How many people attended these three games in total ?

b) Find the difference between the Emirates Stadium and the Stamford Bridge attendances.

c) One in eight people at the Upton Park were not West Ham fans. How many people at that match were West Ham fans ?

5) Which of these sums will have the bigger answer. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

312465 473 or 312466 474 ? Explain your answer.

3) Find the length of the unknown side in each of these right angled triangles.

C=/ *789–

456+

123

0 . =

6 m

8 m

x ma) b)

12 cm

5 cmx cm

4) Find the perimeter of these triangles to one decimal place.

C=/ *789–

456+

123

0 . =

5 m

8 m

a) b)

7 cm

19 cm


1) Evaluate,

a) 76 x 30 b) 9 400 200 c) 17 x 4000

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

d) 8680 70 e) 843 x 900 f) 84 000 3000

2) On the same Saturday in London there were 43 568 people at Stamford Bridge, 58 457 at the Emirates Stadium and 34 776 at Upton Park.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) How many people attended these three games in total ?

b) Find the difference between the Emirates Stadium and the Stamford Bridge attendances.

c) One in eight people at the Upton Park were not West Ham fans. How many people at that match were West Ham fans ?

5) Which of these sums will have the bigger answer. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

312465 473 or 312466 474 ? Explain your answer.

3) Find the length of the unknown side in each of these right angled triangles.

C=/ *789–

456+

123

0 . =

6 m

8 m

x ma) b)

12 cm

5 cmx cm


C=/ *789–

456+

123

0 . =

5 m

8 m

a) b)

7 cm

19 cm


1) It costs £23 for one person to enter The Great North Run. How much would it cost for a charity to enter fourhundred people for this race ?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Find the length of the unknown side in each of these right angled triangles, giving your answers to one decimal place.

C=/ *789–

456+

123

0 . =

11 m

13 m

h ma) b)

7 cm20 cm

k cm

3) Find the area of this shape.C=/ *789–

456+

123

0 . =

13 cm

12 cm

4) Calculate the area and the circumference of these circles.

9 m

12 cm

a) b)

C=/ *789–

456+

123

0 . =

..

5) Find the area of this shape.

13 cm

18 cm

C=/ *789–

456+

123

0 . =

6) 480 people work in an office. Four fifths of them cometo work by car. An eighth of them travel by bus. The rest of the staff walk to work. How many people walk to work.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) It costs £23 for one person to enter The Great North Run. How much would it cost for a charity to enter fourhundred people for this race ?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Find the length of the unknown side in each of these right angled triangles, giving your answers to one decimal place.

C=/ *789–

456+

123

0 . =

11 m

13 m

h ma) b)

7 cm20 cm

k cm


456+

123

0 . =

13 cm

12 cm

4) Calculate the area and the circumference of these circles.

9 m

12 cm

a) b)

C=/ *789–

456+

123

0 . =

..

5) Find the area of this shape.

13 cm

18 cm

C=/ *789–

456+

123

0 . =

6) 480 people work in an office. Four fifths of them cometo work by car. An eighth of them travel by bus. The rest of the staff walk to work. How many people walk to work.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) Find the area of the shaded shape.

12 cm

C=/ *789–

456+

123

0 . =

8 cm

23 cm

2)Find the perimeter of this shape. Give your answer to 1 decimal place.

C=/ *789–

456+

123

0 . =

8.5 cm

3.4 cm

3) Find, a) the area of this shapeb) the perimeter of this shape

C=/ *789–

456+

123

0 . =

14 cm

6) For a = 5, b = 8, c = 2 and d = 3C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4)C=/ *789–

456+

123

0 . =

To hire a car costs £25 a day and a £40 deposit. How much does it costs to hire a car for 14 days?

5) Collect like terms:C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) b)

c) d)

7)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Finda) 7.4 4 b) 239.6 5

6x + x 4y + 3x - y

12a – 3b + 4a + 3b 8q + 3p – 12q - p

a) b)

c) d)

6a + 9 12b – 4d

2c2 + 3 ab

e) f)100 - b2 6acd



12 cm

C=/ *789–

456+

123

0 . =

8 cm

23 cm


C=/ *789–

456+

123

0 . =

14 cm

6) For a = 5, b = 8, c = 2 and d = 3C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4)C=/ *789–

456+

123

0 . =

To hire a car costs £25 a day and a £40 deposit. How much does it costs to hire a car for 14 days?

5) Collect like terms:C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) b)

c) d)

7)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Finda) 7.4 4 b) 239.6 5

6x + x 4y + 3x - y

12a – 3b + 4a + 3b 8q + 3p – 12q - p

a) b)

c) d)

6a + 9 12b – 4d

2c2 + 3 ab

e) f)100 - b2 6acd

2)Find the perimeter of this shape. Give your answer to 1 decimal place.

C=/ *789–

456+

123

0 . =

8.5 cm

3.4 cm


C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1)

3(x – 2) = 12

4(x + 7) = 44

2(x – 4) = 14

Multiply out the brackets and solve.

a)

b)

c)


9 cm

C=/ *789–

456+

123

0 . =

6 cm

17 cm3) Find,

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 71 - 8·43 b) 192·6 500c) 0•086 x 60 d) 60% of 730 m

4) Find,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 7 - 16 b) (-6) + 15 c) 20 + (-12)

5) Find the shortest distance between these coordinate points. Give your answers correctto one decimal place.

a) (1, 2) and (6, 7)

C=/ *789–

456+

123

0 . =

b) (3, -2) and (10, 4)

6) Find,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) (13) x 8 b) 73 (-4)c) 9 + 5 x 4 d) (-8) – 30 6

7) Find the area of this isosceles triangle.

8 cm

5 cm 5 cm

C=/ *789–

456+

123

0 . =


C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1)

3(x – 2) = 12

4(x + 7) = 44

2(x – 4) = 14


a)

b)

c)


9 cm

C=/ *789–

456+

123

0 . =

6 cm

17 cm3) Find,

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 71 - 8·43 b) 192·6 500c) 0•086 x 60 d) 60% of 730 m

4) Find,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 7 - 16 b) (-6) + 15 c) 20 + (-12)


a) (1, 2) and (6, 7) b) (3, -2) and (10, 4)

6) Find,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) (13) x 8 b) 73 (-4)c) 9 + 5 x 4 d) (-8) – 30 6

7) Find the area of this isosceles triangle.

8 cm

5 cm 5 cm

C=/ *789–

456+

123

0 . =


1) Expand and simplify,

a) 4 (x + 7) - 3x + 13 b) 6 (a + 3) + a - 7

c) 3 (4s + 5) + 7 (3s + 2) d) 9 (6w + 3) - 7 (4s + 1)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) The ages of the members of a local gym are as follows,

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

27 23 32 37 30 19 35 28 43 38 26

40 35 32 18 24 24 20 38 32 34 23

Show this data on an ordered stem-and-leaf diagram.

4) This pie chart shows what happened to S6 after they left school. There were 80 pupils in the year.

C=/ *789–

456+

123

0 . =

How many pupils:(a) were unemployed?(b) got a full time job?(c) went to University?(d) got a part time job?(e) went to college?

College

Full time job

Uni

Part time

Unemployed

45o

54o

135o

5)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

An S3 class were asked which kind of pet they had. The results are shown in the table below.

Draw a bar chart to display this data.

Pet

Dog

Cat

Fish

Mice

Other

Frequency

9

7

3

2

5

3)C=/ *789–

456+

123

0 . =

Use your calculator to do these divisions.Round your answer to 2 decimal places.

a) 1428 ÷ 19 b) 33958 ÷ 600c) 529 ÷ 38 d) 87 ÷ 16



a) 4 (x + 7) - 3x + 13 b) 6 (a + 3) + a - 7

c) 3 (4s + 5) + 7 (3s + 2) d) 9 (6w + 3) - 7 (4s + 1)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) The ages of the members of a local gym are as follows,

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

27 23 32 37 30 19 35 28 43 38 26

40 35 32 18 24 24 20 38 32 34 23

Show this data on an ordered stem-and-leaf diagram.

4) This pie chart shows what happened to S6 after they left school. There were 80 pupils in the year.

C=/ *789–

456+

123

0 . =

How many pupils:(a) were unemployed?(b) got a full time job?(c) went to University?(d) got a part time job?(e) went to college?

College

Full time job

Uni

Part time

Unemployed

45o

54o

135o

5)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

An S3 class were asked which kind of pet they had. The results are shown in the table below.

Draw a bar chart to display this data.

Pet

Dog

Cat

Fish

Mice

Other

Frequency

9

7

3

2

5

3)C=/ *789–

456+

123

0 . =

Use your calculator to do these divisions.Round your answer to 2 decimal places.

a) 1428 ÷ 19 b) 33958 ÷ 600c) 529 ÷ 38 d) 87 ÷ 16


1) a) Find the product of 8 and 7564.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

b) Find the difference between 8034 and 5769.

c) Find the sum of the answer to a) and the answer to b).

2) Evaluate, C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 6.7 + 3.86 b) 22.3 - 8.74 c) 7.64 x 5

3) a) Find a formula that links y to x.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

xy

1 2 3 4 5

4 8 12 2016b) Find y if x = 13.

c) Find x if y = 168.


C=/ *789–

456+

123

0 . =

21 m

37 m

a) b)

35 cm

58 cm


C=/ *789–

456+

123

0 . =

28 cm

C=/ *789–

456+

123

0 . =

6) The circumference of a circle is 163•28 mm.

a)Calculate the diameter of this circle.

b)Calculate the radius of this circle.


1) a) Find the product of 8 and 7564.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

b) Find the difference between 8034 and 5769.

c) Find the sum of the answer to a) and the answer to b).

2) Evaluate, C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 6.7 + 3.86 b) 22.3 - 8.74 c) 7.64 x 5


4 5 6 +

1 2 3

0 . =

xy

1 2 3 4 5

4 8 12 2016b) Find y if x = 13.



C=/ *789–

456+

123

0 . =

21 m

37 m

a) b)

35 cm

58 cm


C=/ *789–

456+

123

0 . =

28 cm

C=/ *789–

456+

123

0 . =

6) The circumference of a circle is 163•28 mm.

a)Calculate the diameter of this circle.

b)Calculate the radius of this circle.

General Maths Mixed Homework Exercise 81) a) Find a formula that links y to x.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

xy

1 2 3 4 5

8 11 14 2017b) Find y if x = 11.


2) Find the volume of the cuboid. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

13 cm

7 cm

8 cm

3) Find the area of each of these shapes.

a) b) c)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12 m

5 m

8 cm

19 cm

6 cm

15 cm

4) Find the perimeter of this shape.Give your answer to one decimal place.

C=/ *789–

456+

123

0 . =

9 cm

16 cm

5 cm

5) Round these numbers as each question indicates. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 67.845 to 1 d.p. b) 312.206 to 2 d.p.

c) 4.97613 to 2 d.p. d) 5723.6632 to 1 d.p.

General Maths Mixed Homework Exercise 81) a) Find a formula that links y to x.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

xy

1 2 3 4 5

8 11 14 2017b) Find y if x = 11.


2) Find the volume of the cuboid. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

13 cm

7 cm

8 cm

3) Find the area of each of these shapes.

a) b) c)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12 m

5 m

8 cm

19 cm

6 cm

15 cm

4) Find the perimeter of this shape.Give your answer to one decimal place.

9 cm

16 cm

5 cm

5) Round these numbers as each question indicates. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 67.845 to 1 d.p. b) 312.206 to 2 d.p.

c) 4.97613 to 2 d.p. d) 5723.6632 to 1 d.p.


1) Calculate the volume of this cuboid in litres.

90 cm

40 cm

30 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


456+

123

0 . =

17 m

15 m

3) Change these percentages into decimals and fractions.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 21% b) 90% c) 3% d) 24% e) 6%

4) A travel agent decides to reduce the price of allholidays by 32%. A trip to the Bahamasoriginally cost £3600. Find the new price of thisholiday.

C=/ *789–

456+

123

0 . =

5)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Calculate:

a) b)

c) d)

75% of £2108 33 % of $275413

80% of 86p 72% of €520

C=/ *789–

456+

123

0 . =

6) Adam earns £18 000 per year.He receives a 5•4% pay rise.How much does Adam earn now?


4 5 6 +

1 2 3

0 . =

xy

1 2 3 4 5

8 11 14 2017b) Find y if x = 11.




90 cm

40 cm

30 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Find the area of this shape.17 m

15 m

3) Change these percentages into decimals and fractions.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 21% b) 90% c) 3% d) 24% e) 6%

4) A travel agent decides to reduce the price of allholidays by 32%. A trip to the Bahamasoriginally cost £3600. Find the new price of thisholiday.

C=/ *789–

456+

123

0 . =

5)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Calculate:

a) b)

c) d)

75% of £2108 33 % of $275413

80% of 86p 72% of €520

C=/ *789–

456+

123

0 . =

6) Adam earns £18 000 per year.He receives a 5•4% pay rise.How much does Adam earn now?


4 5 6 +

1 2 3

0 . =

xy

1 2 3 4 5

8 11 14 2017b) Find y if x = 11.


C=/ *789–

456+

123

0 . =


1) Find

c) 67% of $5900 d) 72% of 9670 kg

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 40% of £2300 b) 8% of 2380 km

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)

3(x – 2) = 12

4(x + 7) = 44

2(x – 4) = 14


a)

b)

c)

2)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3x – 7 = 20

4x + 3 = 39

2x – 9 = 19

a)

b)

c)

Solve

3) Ben invested £5400 in a bank account which offers 3% interest pa.How much money will Ben have in his account after 3 months?

C=/ *789–

456+

123

0 . =

4) Calculate the following.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 7·7 x 500 b) 375 ÷ 60 c) 9·82 x 70

d) 252 ÷ 40 e) 6·75 x 300 f) 59840 ÷ 8000

6) Evaluate, C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 6.7 + 3.86 b) 22.3 - 8.74 c) 7.64 x 5


a) 8 (x + 3) - 5x + 41 b) 8 (c + 5) - c - 31

c) 2 (5b + 2) + 3 (7b + 4) d) 6 (7s + 9) - 8 (5s + 6)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) Find

c) 67% of $5900 d) 72% of 9670 kg

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 40% of £2300 b) 8% of 2380 km

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)

3(x – 2) = 12

4(x + 7) = 44

2(x – 4) = 14


a)

b)

c)

2)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3x – 7 = 20

4x + 3 = 39

2x – 9 = 19

a)

b)

c)

Solve

3) Ben invested £5400 in a bank account which offers 3% interest pa.How much money will Ben have in his account after 3 months?

C=/ *789–

456+

123

0 . =

4) Calculate the following.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 7·7 x 500 b) 375 ÷ 60 c) 9·82 x 70

d) 252 ÷ 40 e) 6·75 x 300 f) 59840 ÷ 8000

6) Evaluate, C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 6.7 + 3.86 b) 22.3 - 8.74 c) 7.64 x 5


a) 8 (x + 3) - 5x + 41 b) 8 (c + 5) - c - 31

c) 2 (5b + 2) + 3 (7b + 4) d) 6 (7s + 9) - 8 (5s + 6)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) Convert these numbers into Scientific Notation.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 3000 b) 53 000 c) 874

d) 876 000 e) 3 400 000 f) 78

2) Write out these numbers in full.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 8·3 x 104 b) 7·45 x 103

c) 5·97 x 105 d) 2·643 x 102

3) Round 7 674 · 328 to

a) the nearest 100 b) the nearest 10

c) one decimal place d) two decimal places

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) Evaluate,

a) 4∙7895 x 300 b) 74∙3 500C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)a) Find a formula that links y to x.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

xy

1 2 3 4 5

5 12 19 3326b) Find y if x = 15.


6) Arrange these into ascending order.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) ,0∙33, 34%, 1

3825

b) ,0∙13, 11%, 18

325

7) A man buys a bicycle for £180 and then sells it on for £216.

a) Calculate the profit.

b) Calculate the percentage profit.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) Convert these numbers into Scientific Notation.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 3000 b) 53 000 c) 874

d) 876 000 e) 3 400 000 f) 78


4 5 6 +

1 2 3

0 . =

a) 8·3 x 104 b) 7·45 x 103

c) 5·97 x 105 d) 2·643 x 102

3) Round 7 674 · 328 to

a) the nearest 100 b) the nearest 10

c) one decimal place d) two decimal places

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) Evaluate,

a) 4∙7895 x 300 b) 74∙3 500C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)a) Find a formula that links y to x.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

xy

1 2 3 4 5

5 12 19 3326b) Find y if x = 15.



4 5 6 +

1 2 3

0 . =a) ,0∙33, 34%, 1

3825

b) ,0∙13, 11%, 18

325

7) A man buys a bicycle for £180 and then sells it on for £216.

a) Calculate the profit.

b) Calculate the percentage profit.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =



4 5 6 +

1 2 3

0 . =

a) 8·3 x 104 b) 7·45 x 103

c) 5·97 x 105 d) 2·643 x 102

2)Convert these numbers into Scientific Notation.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 0·32 b) 0·005 c) 0·078

d) 0·000 093 e) 0·000 007 1 f) 0·000 000 07

3)C=/ *789–

456+

123

0 . =

Copy and complete this electricity bill.

Householder: P Stanton Period: 01/02/07 - 01/03/07

Present Reading

Previous Reading

Units used

UNITS CHARGES

units @ 12•9p/unit

+ VAT (8%)

Amount due

07012

06357

4) Mr Harris bought a bicycle for £60. He repaired and and then sold it for £84.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) Calculate his profit.

b) Calculate his percentage profit.

5)An insurance company advertises annual buildings insurance at a fee of £2·88 per £1000 and annual contents insurance at a fee at £4·83. Find the price of insuring,

C=/ *789–

456+

123

0 . =

a) A flat worth £145 000 with contents worth £23 000.

b) A house worth £286 500 with contents worth £74 300.

6) The Davies family to go on holiday to France. Theytake £1300 spending money with them. In France they spend €1700. They convert their left overEuros back into UK money. Find how they will receive, giving your answer to the nearest penny.

C=/ *789–

456+

123

0 . =

£1 = €1·43



4 5 6 +

1 2 3

0 . =

a) 8·3 x 104 b) 7·45 x 103

c) 5·97 x 105 d) 2·643 x 102

2)Convert these numbers into Scientific Notation.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 0·32 b) 0·005 c) 0·078

d) 0·000 093 e) 0·000 007 1 f) 0·000 000 07

3)C=/ *789–

456+

123

0 . =


Householder: P Stanton Period: 01/02/07 - 01/03/07

Present Reading

Previous Reading

Units used

UNITS CHARGES


+ VAT (8%)

Amount due

07012

06357

4) Mr Harris bought a bicycle for £60. He repaired and and then sold it for £84.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) Calculate his profit.

b) Calculate his percentage profit.

5)An insurance company advertises annual buildings insurance at a fee of £2·88 per £1000 and annual contents insurance at a fee at £4·83. Find the price of insuring,

C=/ *789–

456+

123

0 . =

a) A flat worth £145 000 with contents worth £23 000.

b) A house worth £286 500 with contents worth £74 300.

6) The Davies family to go on holiday to France. Theytake £1300 spending money with them. In France they spend €1700. They convert their left overEuros back into UK money. Find how they will receive, giving your answer to the nearest penny.

C=/ *789–

456+

123

0 . =

£1 = €1·43


1)C=/ *789–

456+

123

0 . =


Householder: A Cropley Period: 01/02/07 - 01/03/07

Present Reading

Previous Reading

Units used

UNITS CHARGES


+ VAT (8%)

Amount due

08054

07295

2) A new PC is available for a cash price of £380. The shop also offers HP terms of a 20% deposit and instalments of £18 a month for a period of 2 years.

C=/ *789–

456+

123

0 . =

Find the Hire Purchase price of this PC.

3) Calculate xo in each of these diagrams. Show your working.

a)

37oxo

b)

xo

39o

c)

48o

44o

xo

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

d)

xo

62o

54o123o

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) COPY the diagram and fill in all the missing angles.

123o


1)C=/ *789–

456+

123

0 . =


Householder: A Cropley Period: 01/02/07 - 01/03/07

Present Reading

Previous Reading

Units used

UNITS CHARGES


+ VAT (8%)

Amount due

08054

07295

2) A new PC is available for a cash price of £380. The shop also offers HP terms of a 20% deposit and instalments of £18 a month for a period of 2 years.

C=/ *789–

456+

123

0 . =

Find the Hire Purchase price of this PC.

3) Calculate xo in each of these diagrams. Show your working.

a)

37oxo

b)

xo

39o

c)

48o

44o

xo

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

d)

xo

62o

54o123o

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) COPY the diagram and fill in all the missing angles.

123o


2) A new three piece suite is available for a cash price of £2260. The shop also offers HP terms of a 15% deposit and instalments of £43·50 a month for a period of 5 years.

C=/ *789–

456+

123

0 . =

Find the Hire Purchase price of the suite.

1) Mr Hughes bought a car for £1500 and then sold it laterfor £900.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) Calculate his loss.

b) Calculate his percentage loss.

3)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Calculate xo in each of these diagrams. Show your working.

a)

31o

xo

b)

xo132o

4) Find the length of the side marked k cm. C=/ *789–

456+

123

0 . =

k cm

13 cm

28o

5) Find the size of the angle marked k o . C=/ *789–

456+

123

0 . =

28 cmk o

11 cm

6) Find the length of the side marked p cm. C=/ *789–

456+

123

0 . =

p cm24 cm

31o


2) A new three piece suite is available for a cash price of £2260. The shop also offers HP terms of a 15% deposit and instalments of £43·50 a month for a period of 5 years.

C=/ *789–

456+

123

0 . =

Find the Hire Purchase price of the suite.

1) Mr Hughes bought a car for £1500 and then sold it laterfor £900.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) Calculate his loss.

b) Calculate his percentage loss.

3)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Calculate xo in each of these diagrams. Show your working.

a)

31o

xo

b)

xo132o

4) Find the length of the side marked k cm. C=/ *789–

456+

123

0 . =

k cm

13 cm

28o

5) Find the size of the angle marked k o . C=/ *789–

456+

123

0 . =

28 cmk o

11 cm

6) Find the length of the side marked p cm. C=/ *789–

456+

123

0 . =

p cm24 cm

31o


1) Find the size of the angle marked r o . C=/ *789–

456+

123

0 . =46 cmr o 17 cm

2) Find the size of the angle marked p o . C=/ *789–

456+

123

0 . =29 cm

p o 7 cm

C=/ *789–

456+

123

0 . =

3) Calculate the average speed of:

a) a car which travels 80km in 2 hours.

b) a boat which travels 135 miles in 1 hour 30 minutes.

c) a walker who covers 9•2 km in 2 hours 18 minutes.

4) C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =Distance from home (km)

100

50

0 9:00am 10:00am 11:00am

Terry drives from his house to his Gran’s house. He stopped for petrol on the way, stayed at his Gran’s for a while and then drove home via a different route. a) How far away does Terry’s

Gran stay?

b) How long did Terry stop for petrol?

c) Calculate his speed for both the outward and return journey.

d) Which part might have been done on the motorway?

5)A flight to Tenerife from Edinburgh takes 4 hours.The plane travels at 520 miles per hour.How far is it from Edinburgh to Tenerife?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) Find the size of the angle marked r o . C=/ *789–

456+

123

0 . =46 cmr o 17 cm

2) Find the size of the angle marked p o . C=/ *789–

456+

123

0 . =29 cm

p o 7 cm

C=/ *789–

456+

123

0 . =

3) Calculate the average speed of:

a) a car which travels 80km in 2 hours.

b) a boat which travels 135 miles in 1 hour 30 minutes.

c) a walker who covers 9•2 km in 2 hours 18 minutes.

4) C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =Distance from home (km)

100

50

0 9:00am 10:00am 11:00am

Terry drives from his house to his Gran’s house. He stopped for petrol on the way, stayed at his Gran’s for a while and then drove home via a different route. a) How far away does Terry’s

Gran stay?

b) How long did Terry stop for petrol?

c) Calculate his speed for both the outward and return journey.

d) Which part might have been done on the motorway?

5)A flight to Tenerife from Edinburgh takes 4 hours.The plane travels at 520 miles per hour.How far is it from Edinburgh to Tenerife?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) A car begins a journey at 8:50am and the journey ends at 12:05pm. The car completes a total of 364 km during this time.Find the average speed for this journey.

C=/ *789–

456+

123

0 . =

2) Find,

a)25

of £75 b)47

of 476 kg

c) 75% of £326 d) 90% of 524 m

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) A car is available for a cash price of £8400. The shop also offers HP terms of a 12% deposit and instalments of £240 a month for a period of 3 years.

C=/ *789–

456+

123

0 . =

Find the Hire Purchase price of this car.

4) Three cream cakes cost £4.14. How much would 5 cream cakes cost? C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

6) It takes 4 cleaners 3 hours to clean an office. How long would it take 6 cleaners to clean the same office block?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


a) (-4, -8) and (3, -2)

C=/ *789–

456+

123

0 . =

b) (3, -5) and (-6, 1)

7) A man buys a bicycle for £180 and then sells it on for £216. Calculate his percentage profit.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

8) Sue has enough food to feed her seven horses for 12 days. How many days will the food last if she has eight horses? C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =


1) A car begins a journey at 8:50am and the journey ends at 12:05pm. The car completes a total of 364 km during this time.Find the average speed for this journey.

C=/ *789–

456+

123

0 . =

2) Find,

a)25

of £75 b)47

of 476 kg

c) 75% of £326 d) 90% of 524 m

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) A car is available for a cash price of £8400. The shop also offers HP terms of a 12% deposit and instalments of £240 a month for a period of 3 years.

C=/ *789–

456+

123

0 . =

Find the Hire Purchase price of this car.

4) Three cream cakes cost £4.14. How much would 5 cream cakes cost? C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

6) It takes 4 cleaners 3 hours to clean an office. How long would it take 6 cleaners to clean the same office block?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


a) (-4, -8) and (3, -2)

C=/ *789–

456+

123

0 . =

b) (3, -5) and (-6, 1)

7) A man buys a bicycle for £180 and then sells it on for £216. Calculate his percentage profit.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

8) Sue has enough food to feed her seven horses for 12 days. How many days will the food last if she has eight horses? C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =


C=/ *789–

456+

123

0 . =

1) A train leaves a station at 3:40pm and travels until 7:25pm. During this time the average speedof the train is 120 kmh-1. How far did the train travel during this journey ?

2) Expand and simplify,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 5 ( p + 3 ) – 2p - 6 b) 6 ( a + 7 ) – 5a - 17


4 5 6 +

1 2 3

0 . =a) ,0∙77, 81%, 4

52125

b) ,0∙49, 53%, 1325

920

4) Find the mean, median, range and mode for this data set.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =72 85 83 85 80 87 85 71

6) A survey was carried to find out how many times a group of driver had changed their cars for a newer one. Find the mean number of changes per owner.

C=/ *789–

456+

123

0 . =

No. of changes ( x ) x x fFrequency ( f )

1

2

3

4

5

5

7

4

3

1


130 cm

70 cm

50 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


C=/ *789–

456+

123

0 . =

1) A train leaves a station at 3:40pm and travels until 7:25pm. During this time the average speedof the train is 120 kmh-1. How far did the train travel during this journey ?

2) Expand and simplify,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 5 ( p + 3 ) – 2p - 6 b) 6 ( a + 7 ) – 5a - 17


4 5 6 +

1 2 3

0 . =a) ,0∙77, 81%, 4

52125

b) ,0∙49, 53%, 1325

920

4) Find the mean, median, range and mode for this data set.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =72 85 83 85 80 87 85 71

6) A survey was carried to find out how many times a group of driver had changed their cars for a newer one. Find the mean number of changes per owner.

C=/ *789–

456+

123

0 . =

No. of changes ( x ) x x fFrequency ( f )

1

2

3

4

5

5

7

4

3

1


130 cm

70 cm

50 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) A car travels completes a journey of 225 miles in 3 hours and 45 minutes. Find the average speed for this journey.

C=/ *789–

456+

123

0 . =


a) 4 (x + 7) - 3x + 13 b) 6 (a + 3) + a - 7

c) 3 (4s + 5) + 7 (3s + 2) d) 9 (6w + 3) - 7 (4s + 1)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Some coloured blocks are placed in a bag. Two of them are red, four of them are green, three of them are blue and one of them is yellow. The bag is shaken and one block is taken out at random.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) State the probability that this block is blue.

b) State the probability that this block is green.

4) It costs £18·69 to buy 7 pizzas from the supermarketfor a party. Find the cost of buying 9 of these pizzas. C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

5) Factorise the following,

a) 4x + 2 b) 6q + 18q2

c) 12k - 27 d) 21 – 14w

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =


1) A car travels completes a journey of 225 miles in 3 hours and 45 minutes. Find the average speed for this journey.

C=/ *789–

456+

123

0 . =


a) 4 (x + 7) - 3x + 13 b) 6 (a + 3) + a - 7

c) 3 (4s + 5) + 7 (3s + 2) d) 9 (6w + 3) - 7 (4s + 1)

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Some coloured blocks are placed in a bag. Two of them are red, four of them are green, three of them are blue and one of them is yellow. The bag is shaken and one block is taken out at random.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) State the probability that this block is blue.

b) State the probability that this block is green.

4) It costs £18·69 to buy 7 pizzas from the supermarketfor a party. Find the cost of buying 9 of these pizzas. C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

5) Factorise the following,

a) 4x + 2 b) 6q + 18q2

c) 12k - 27 d) 21 – 14w

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) Calculate the missing angles in each triangle.C=/ *789–

456+

123

0 . =a) b)

c) d)

15o 53o

32o89o

6) Calculate the missing angles in each triangle.C=/ *789–

456+

123

0 . =a) b)

c) d)

15o 53o

32o89o

Documents

S2 General Mixed Homeworks 01 ------ S1 Revision 02 ------ Pythagoras 03 ------ Circle 04 ----- Algebra 05 ----- Integers 06 ----- Charts and Tables 07