Top 40 Topics 31 40 - Wolverley CE · PDF fileTop 40 Topics 31 – 40 Topic ... Angle GEF = 47o. Work out the size of the angle marked x. ... Work out the size of the angles marked

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Top 40

Topics 31 – 40

Topic Date

completed Exam Q’s completed

31. Circles

32. Surface Area and Volume

33. Use of Calculator

34. Exchange Rates

35. Estimation

36. Index Laws

37. Inequalities

38. Alternate & Corresponding Angle

39. Expand and Simplify

40. Sequences and nth Term


31 – CIRCLES

Q1. A circle has a diameter of 12 cm.

Work out the circumference of the circle.

Give your answer correct to 3 significant figures.

(2)

Q2. Here is a tile in the shape of a semicircle.

The diameter of the semicircle is 8 cm.

Work out the perimeter of the tile.

Give your answer correct to 2 decimal places.

(3)

Diagram NOT

accurately drawn

12 cm

Diagram NOT

accurately drawn

8 cm


Q3. A circle has a radius of 5 cm.

Work out the area of the circle.

Give your answer correct to 3 significant figures.

.......... cm2

(2)

Q4. The diagram shows a circular pond with a path around it.

The pond has a radius of 5 m.The path has a width of 1 m.

Work out the area of the path. Give your answer correct to 3 significant

figures.

.......... m2

(3)

1 m

Diagram NOT

accurately drawn

5 cm

Diagram NOT

accurately drawn

5 m


32 – SURFACE AREA AND VOLUME

Q1. Work out the total surface area of the cube.

(3)

Q2. Work out the total surface area of the triangular prism.

(4)


Q3. A triangular prism has dimensions as shown in the diagram.

Work out the volume of the prism.

(3)

Q4. An eraser is a prism with a parallelogram as its cross section.

Work out the volume of the eraser. Give the units of your answer.

(3)


Q5. Here is a solid prism.

Work out the volume of the prism.

_ _ _ _ _ cm3

(3)

Q6. A drinking glass is a cylinder. The interior dimensions of the glass are

as shown.

Work out the volume of liquid needed to fill the glass.

________ cm3 (3)


33 – USE OF CALCULATOR

Q1. Use your calculator to work out

–

Write down all the figures on your calculator display.

You must give your answer as a decimal.

............................ (2)

Q2.

(a) Use your calculator to work out



................................ (2)

(b) Write your answer to part (a) correct to 2 decimal

places.

................. (1)


Q3.

(a) Use your calculator to work out



................................ (3)

(b) Write your answer to part (a) correct to 2 decimal places.

................. (1)

Q4.

(a) Use your calculator to work out –



................................ (2)

(b) Give your answer to part (a) correct to 3 significant figures.

................. (1)


34 – EXCHANGE RATES

Q1. Rosie and Jim are going on holiday to the USA. Jim changes £350

into dollars ($).

The exchange rate is £1 = $1.34

(a) Work out how many dollars ($) Jim gets.

$........... (2)

In the USA Rosie sees some jeans costing $67.

In London the same make of jeans costs £47.50

The exchange rate is still £1 = $1.34

(b) Work out the difference between the cost of the jeans in the USA

and in London. Give your answer in pounds (£)

£........... (3)

$67

£47.50


Q2. In August 2008, Eddie hired a car in Italy. The cost of hiring the car

was £620

The exchange rate was £1 = €1.25

(a) Work out the cost of hiring the car in euros (€).

€........... (2)

Eddie bought some perfume in Italy. The cost of the perfume in Italy was

€50. The cost of the same perfume in London was £42

The exchange rate was still £1 = €1.25

(b) Work out the difference between the cost of the perfume in Italy and

the cost of the perfume in London.

Give your answer in pounds (£).

£........... (3)


Q3. Linda is going on holiday to the Czech Republic. She needs to change

some money into koruna.

She can only change her money into 100 koruna notes.

Linda only wants to change up to £200 into koruna. She wants as many

100 koruna notes as possible.

The exchange rate is £1 = 25.82 koruna

How many 100 koruna notes should she get?

(3)

Q4. The exchange rate in London is £1 = €1.14

The exchange rate in Paris is €1 = £0.86

Elaine wants to change some pounds into euros.

In which of these cities would Elaine get the most euros? You must show

all your working.

............................... (3)


35 – ESTIMATION

Q1. Work out an estimate for the value of

(2)


Give your answer as a decimal.

(3)


(3)


(3)


(3)


36 – INDEX LAWS

Q1. Write each of the following as a single power of p

a) p2 x p6

(1)

b) p6

p2

(1)

c) (p2)6

(1)

Q2.

a) Simplify m3 x m6

(1)

b) Simplify p2

p8

(1)

c) Simplify (m-2)5

(2)


Q3. Simplify:

i) s2t8 x s3t2

(2)

ii) (x3y)4

(2)

iii) y16 x y2

y4

(2)

Q4. Simplify fully:

a) 24x8y9

8x4y3

(2)

b) 5a5b4 x 3a3b

(2)

c) (2t4)3

(2)


Q4. Evaluate

i. x0

(1)

ii. 50

(1)

iii. 3000

(1)


37 – INEQUALITIES

Q1. m is an integer such that -2 < m ≤ 3

Write down all the possible value of m.

(2)

Q2. x is an integer, such that -5 ≤ x < 0

List the possible value of x.

(2)

Q3.

a) n is an integer.

-1 ≤ n < 4

List the possible values of n.

(2)

b)

Write down the inequality shown in the diagram.

(2)

n


Q4.

a) On the number line, show the inequality -2 < y < 3

(1)

b) Here is an inequality, in x, shown on a number line

Write down the inequality.

(2)


38 – ALTERNATE & CORRESPONDING ANGLES

Q1.

a) Write down the size of the angle marked a.

b) Give a reason for your answer.

(2)

Q2.

ANB is parallel to CMD. LNM is a straight line. Angle LMD = 68o.

i) Work out the size of the angle marked y.

ii) Give reasons for your answer.

(3)


Q3.

ABC and DEF are parallel lines. BEG is a straight line. Angle GEF = 47o.

Work out the size of the angle marked x.

Give reasons for your answer.

(3)

Q4.

a) Find the value of x.

(1)

b) Find the value of y. Give reasons for your answer.

(2)


Q5.ABC is an isosceles triangle with AB = AC.

BC is parallel to AD and angle BCA = 55o.

Work out the size of the angles marked x, y and z.

Answer x =

degrees

y =

degrees

z =

degrees

(4)


39 – EXPAND AND SIMPLIFY

Q1.

a) Simplify 2a + 3b – a – b

(2)

b) Expand 4(2m – 3n)

(1)

Q2. a) Expand 3(2y – 5)

(1)

b) Simplify 5x – 3y – 3x + y

(2)

Q3. Expand and simplify 3(2a + 5) + 5(a – 2)

(2)

Q4. Expand and simplify 2(x – y) – 3(x – 2y)

(2)


Q5. Expand and simplify (y + 5)(y + 7)

(2)

Q6. Expand and simplify (x – 5)(x + 7)

(2)

Q7. Expand and simplify (a – 2)(a – 5)


40 – SEQUENCES AND NTH TERM

Q1. The nth term of a number sequence is given by 3n + 1

a) Work out the first two terms of the number sequence.

(1)

Here are the first four terms of another number sequence.

1 5 9 13

b) Find, in terms of n, an expression for the nth term of this number

sequence.

(2)

Q2. a) Here are the first four terms of a number sequence.

2 6 10 14

Work out the formula for the nth term of this sequence.

(2)

b) The nth term of another sequence of numbers is given by n2 + 3

Work out the first two terms of this sequence.

(2)


Q3. The nth term of a sequence is 45 – 4n

a) Work out the first three terms.

(2)

b) Work out the value of the first negative term of the sequence.

(2)

Q4. Here are the first 5 terms of an arithmetic sequence.

3 9 15 21 27

a) Find an expression, in terms of n, for the nth term of this sequence.

(2)

Ben says that 150 is in the sequence.

b) Is Ben right?

You must explain your answer.

(1)


Q5. Here are the first five terms of an arithmetic sequence.

2 6 10 14 18

a) Find, in terms of n, an expression for the nth term of this sequence.

(2)

b) An expression for the nth term of another sequence is

10 – n2

i) Find the third term of this sequence.

ii) Find the fifth term of this sequence.

(2)

Q6. An expression for the nth term of a sequence is n2 – 2n

i) Find the 5th term of this sequence.

ii) Find the 8th term of this sequence.

(2)

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Top 40 Topics 31 40 - Wolverley CE · PDF fileTop 40 Topics 31 – 40 Topic ... Angle GEF = 47o. Work out the size of the angle marked x. ... Work out the size of the angles marked