St. Peter the Apostle High School

Mathematics Department

Level 3/3+

Revision Booklet

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LEVEL 3/3+ SPTA MATHEMATICS DEPARTMENT HOMEWORK BOOKLET

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Whole Numbers 1:

1. Write the following numbers using digits:

a) two hundred and four thousand and fifty (b) a quarter of a million

2. Round the following numbers to the nearest 100:

a) 3809 (b) 18473 (c) 23654 (d) 103977

3. Set out each question below and solve it:

a) 468 + 599 (b) 358 x 10 (c) 532 – 247

d) 6200 ÷ 10 (e) 4536 ÷ 4 (f) 5000 – 2387

g) 654 x 40 (h) 287 ÷ 70 (i) 562 x 40

4. A TV costs £459 and a Blu-ray player costs £137 from

TV World. If you buy both a TV and a blu-ray player

from TV World then you receive a discount of £85.

How much would it cost to buy a TV and Blu-ray player together?

5. The Robson family are having a family reunion in Paris,

travelling by plane. Five people are going on the trip,

3 adults and 2 children.

An adult ticket for the train costs £118 and a child’s costs £76

How much will it cost in total for their tickets?

Package Deal

Save £85

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Whole Numbers 2:

1. Write the following numbers using digits:

a) half a million (b) a quarter of a million

2. Round the following numbers to the nearest 1000:

a) 3899 (b) 18433 (c) 23644 (d) 103777

3. Set out each question below and solve it:

a) 3468 + 5699 (b) 132 x 10 (c) 5326 – 2417

d) 3000 ÷ 10 (e) 4524 ÷ 6 (f) 5000 – 2387

g) 456 x 30 (h) 782 ÷ 20 (i) 4562 x 40

4. A TV costs £859 from TV World.

TV world are doing a special deal on TV’s.

How much would it cost for 6 TV’s?

5. The Robson family are having a family reunion in Paris,

travelling by train. Fifteen people are going on the trip,

13 adults and 2 children.

An adult ticket for the train costs £118 and a child’s costs £76

How much will it cost in total for their train tickets?

TV World

Buy 5 get one

half price

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Decimals 1:

1. Write down the value of each underlined digit below:

a) 2.78 (b) 1.549 (c) 134.59

2. Write down the answers to the following questions:

a) 23.78 x 100 (b) 1167.8 ÷ 1000 (c) 6.786 ÷ 100 (d) 296.78 x 10

3. Round the following to the number of decimal places given in brackets:

a) 4.789 (2) (b) 5.345 (1) (c) 134.597 (2)

4. Set out each question below and solve it:

a) 2.67 x 6 (b) 12.1 x 40 (c) 4.77 ÷ 3 (d) 5.68 ÷ 40

5. Woolies is selling pix & Mix sweets

for £0.70 per kg. If Ted buys 0.5 kg of

sweets from Woolies how much did he pay?

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Decimals 2:

1. Write down the value of each underlined digit below:

a) 2.789 (b) 1.5493 (c) 134.598

2. Write down the answers to the following questions:

a) 234.78 x 100 (b) 11.678 ÷ 1000 (c) 0.6786 ÷ 100 (d) 29.678 x 10

3. Round the following to the number of decimal places given in brackets:

a) 4.789 (2) (b) 5.955 (1) (c) 134.57923 (3)

4. Set out each question below and solve it:

a) 2.67 x 12 (b) 12.1 x 0.04 (c) 4.77 x 0.3 (d) 0.568 ÷ 0.4

5. Woolies is selling pix & Mix sweets

for £0.70 per kg. If Ted buys 0.56 kg of

sweets from Woolies how much did he pay?

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Algebra 1:

1. Copy each of the following and then simplify:

a) 7x – 3x + 2x (b) 9a + 4 – 3a – 1 (c) 7m + 2n + m – n

2. Find the value of the missing letter by solving these equations:

a) 5x = 15 (b) 9t = 45 (c) p + 8 = 17 (d) k – 11 = 8

3. Find the value of the missing letter by solving these equations:

a) 2y – 3 = 1 (b) 6m - 6 = 0 (c) 4x – 9 = 15

d) 7a + 2 = 30 (e) 6p + 2 = 3

4. Bob and four friends buy concert tickets to see 2 Directions.

They have to pay a booking fee of £4.

The total cost is £74. Let x stand for 1 ticket.

a) Make up an equation to represent the information above.

b) Solve the equation in to find the cost of one concert ticket.

5. Set out each question below and solve it:

a) 4.68 + 5.99 (b) 35.8 x 10 (c) 687 – 349

d) 3900 ÷ 100 (e) 45.36 ÷ 4 (f) 9600 – 8732

g) 456 x 30 (h) 2.73 ÷ 70 (i) 365 x 500

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Algebra 2:

1. Copy each of the following and then simplify:

a) 7x + 8y – 3x + 2y (b) 9a + 4 – 3a – 1 (c) 7m + 2n + m – n

2. Find the value of the missing letter by solving these equations:

a) 5x = 15 (b) 9t = 45 (c) p + 8 = 17 (d) k – 11 = 8

3. Find the value of the missing letter by solving these equations:

a) 2y – 3 = 1 (b) 6m - 6 = 0 (c) 4x – 9 = 15

d) 7a + 2 = 30 (e) 6p + 2 = 3

4. Remove the brackets:

a) 2(x – 3) (b) 6(d + 8) (c) 4(k – 9)

d) 3(r – 11) (e) 8(p +15)

5. Remove the brackets:

a) m (n – 8) (b) p (q + 8) (c) a (7 – b)

d) s (s – 11s) (e) y (12 –5y)

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Algebra 3:

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Algebra 4:

Algebra 5:

2.

3.

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Fractions 1:

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Fractions 2:

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Fractions 3:

Simplify all answers and give final answers as mixed fractions if possible.

Do not leave as top heavy fractions.

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Angles 1:

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Angles 2:

1.

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Angles 3:

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Angles 4:

1.

2.

3.

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Integers 1:

Integers 2:

1. What is the number: a) 3 bigger than -5 (b) 2 smaller than -7

2. Rewrite these integers in order, starting with the SMALLEST: 3, -1, 1, -4, -5, -2

3. a) Joseph had £87 in the bank. He then withdrew £142.

What will the balance be on his account now?

b) The afternoon temperature on a mountain top is recorded at 2°C.

The temperature drops by 14°C at night.

What is the night time temperature?

4. Copy and complete the following:

a) -2 + 7 (b) -8 + 3 (c) -4 + (-3) (d) 3 + (-8)

e) -2 - 9 (f) -7 - (-8) (g) -12 – 19 (h) -24-(-17)

i) 28 - (-13) (j) -2 x 7 (k) 8 x (-7) (l) -4 x (-3)

m) 13 x (-8) (n) -27 ÷ 9 (o) -56 ÷ (-8) (p) -24 x(-5)

5. Copy and simplify the following:

a) 2b – (-7b) (b) -8h – 9h

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Integers 3:

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Integers 4:

1. On Wednesday, Lesley had a bank balance of -£78.

On Thursday, she withdrew £37.

On Friday her £345 weekly wage was paid into her account.

What was the new balance on her account on Friday?

2. The temperature in five parts of the world was measured on a specific day. They were:

Sahara Desert: 35°C, New York: 16°C, Glasgow: 7°C, North Pole: -24°C, Moscow: -9°C

a) Put the five places in order starting with the smallest, use the names!

b) How much colder is: i) Moscow than Glasgow? (ii) North Pole than Moscow?

c) Find the average temperature by adding them all up and dividing by 5.

d) What is the difference in temperature between the hottest and coldest place?

3. Copy and complete the following:

a) 13 + (-5) (b) -12 - 17 (c) 5 x (-7) (d) 15 x (-7)

e) -42 ÷ 6 (f) -42 - (-31) (g) -147 ÷ 7 (h) -24 + (-5)

i) -24 x (-5) (j) -18 x 5 (k) -25 x 5 (l) 18 x (-7)

m) 64 ÷ (-8) (n) -27 - 9 (o) -72 - (-3) (p) -354 ÷ 3

q) -2 - (-6) + (-7) (r) (-4 – 6) ÷ (-5) (s) -2 + (-4) x (-6)

4. Copy and simplify the following: a) -8h – (-9h) b) 4f – 9f + (-3f)

5. Copy the following diagram.

Enter the numbers, -2, -1 & 3 into the

CIRCLES so that the squares are the

sums of the 2 circles either side of it;

e.g.

-3 7 4

2

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Speed, Distance & Time 1:

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Speed, Distance & Time 2:

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Speed, Distance & Time 3:

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Speed, Distance & Time 4:

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Percentages 1:

1.

2.

3.

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Percentages 2:

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Percentages 3:

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Length, Area & Volume 1:

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Length, Area & Volume 2:

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Length, Area & Volume 2 (continued):

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Equations 1:

1.

2.

3.

4.

5.

6.

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Equations 2:

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Equations 3: