Age 12 Maths Review

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Age 12 Maths Review
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1
Solving equations: one step
2
Solving equations: two steps
3
Solving equations with brackets
4
Sequences: the nth term
5
Powers
6
Square roots and cube roots
7
Negative numbers
8
Percentage increase
9
Percentage decrease
10
Circles: area and circumference
11
Volume of 3D shapes
12
Averages and range
13
Best buys
14
Revision checklist
15
Cornell notes
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Solving equations: one step

Solve each equation to find x.
Name

Solving equations: one step

Name:
Date:
1.x − 9 = 19
2.7x = 98
3.x/5 = 5
4.4x = 72
5.10x = 20
6.x − 17 = 27
7.x + 25 = 34
8.x + 24 = 32
9.x − 4 = 5
10.x − 26 = 24
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Age 12 Maths Review1crayonbird.com

Solving equations: two steps

Solve each equation to find x.
Name

Solving equations: two steps

Name:
Date:
1.10x + 12 = 112
2.x/5 + 7 = 19
3.7x − 6 = 120
4.10x − 25 = 5
5.x/2 + 2 = 5
6.x/4 + 24 = 32
7.x/3 + 10 = 13
8.x/2 + 7 = 11
9.5x − 11 = 9
10.8x + 11 = 35
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Age 12 Maths Review2crayonbird.com

Solving equations with brackets

Solve each equation to find x.
Name

Solving equations with brackets

Name:
Date:
1.5(x + 10) = 100
2.5(x + 9) = 65
3.6(x + 6) = 90
4.5(x + 10) = 75
5.3(x + 1) = 12
6.3(x + 5) = 27
7.4(x + 5) = 32
8.5(x + 4) = 45
9.4(x + 2) = 20
10.2(x + 7) = 34
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Age 12 Maths Review3crayonbird.com

Sequences: the nth term

Each sequence goes up or down by the same amount every time. Answer each question.
Name

Sequences: the nth term

Name:
Date:
1.Find the 14th term of the sequence 8, 13, 18, 23, …
2.Find the 12th term of the sequence 8, 16, 24, 32, …
3.Find the 24th term of the sequence 4, 6, 8, 10, …
4.Find the 13th term of the sequence 17, 21, 25, 29, …
5.Find the 11th term of the sequence 17, 22, 27, 32, …
6.Find the 22nd term of the sequence 5, 12, 19, 26, …
7.Find the 30th term of the sequence 13, 18, 23, 28, …
8.Find the 13th term of the sequence 16, 21, 26, 31, …
9.Find the 14th term of the sequence 1, 8, 15, 22, …
10.Find the 18th term of the sequence 3, 6, 9, 12, …
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Age 12 Maths Review4crayonbird.com

Powers

Work out the value of each power.
Name

Powers

Name:
Date:
1.3⁴ =
2.9⁴ =
3.7³ =
4.5⁴ =
5.6⁶ =
6.3³ =
7.16² =
8.10⁵ =
9.3⁷ =
10.4⁶ =
11.6³ =
12.10³ =
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Age 12 Maths Review5crayonbird.com

Square roots and cube roots

Work out each root.
Name

Square roots and cube roots

Name:
Date:
1.∛729 =
2.∛1728 =
3.∛1000 =
4.∛1331 =
5.√676 =
6.√81 =
7.√25 =
8.∛8 =
9.√529 =
10.√196 =
11.√0.09 =
12.√841 =
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Age 12 Maths Review6crayonbird.com

Negative numbers

Work out each answer.
Name

Negative numbers

Name:
Date:
1.−3 × (−12) =
2.−2 × 8 =
3.−60 ÷ (−10) =
4.17 − (−1) =
5.5 × (−10) =
6.19 − 31 =
7.3 × (−11) =
8.−9 + (−10) =
9.−22 ÷ 2 =
10.−42 ÷ 7 =
11.−8 − 5 =
12.64 ÷ (−8) =
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Age 12 Maths Review7crayonbird.com

Percentage increase

Increase each amount by the percentage given.
Name

Percentage increase

Name:
Date:
1.Increase 300 by 15%.
2.Increase 70 by 20%.
3.Increase 395 by 60%.
4.Increase 96 by 25%.
5.Increase 320 by 5%.
6.Increase 880 by 5%.
7.Increase 360 by 55%.
8.Increase 60 by 5%.
9.Increase 625 by 60%.
10.Increase 410 by 60%.
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Age 12 Maths Review8crayonbird.com

Percentage decrease

Decrease each amount by the percentage given.
Name

Percentage decrease

Name:
Date:
1.Decrease 220 by 40%.
2.Decrease 710 by 40%.
3.Decrease 1000 by 55%.
4.Decrease 590 by 40%.
5.Decrease 854 by 50%.
6.Decrease 492 by 50%.
7.Decrease 340 by 35%.
8.Decrease 920 by 35%.
9.Decrease 980 by 85%.
10.Decrease 416 by 50%.
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Age 12 Maths Review9crayonbird.com

Circles: area and circumference

Use π = 3.14. Give your answers to 2 decimal places (areas in cm², lengths in cm).
Name

Circles: area and circumference

Name:
Date:
1.Find the circumference of a circle with radius 7 cm.
2.Find the circumference of a circle with radius 10 cm.
3.Find the area of a circle with radius 5 cm.
4.Find the circumference of a circle with diameter 2 cm.
5.Find the circumference of a circle with radius 6 cm.
6.Find the area of a circle with radius 11 cm.
7.Find the circumference of a circle with diameter 30 cm.
8.Find the circumference of a circle with radius 9 cm.
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Age 12 Maths Review10crayonbird.com

Volume of 3D shapes

Find each volume in cm³. Use π = 3.14 and give your answers to 2 decimal places.
Name

Volume of 3D shapes

Name:
Date:
1.Find the volume of a cuboid measuring 4 cm × 5 cm × 5 cm.
2.Find the volume of a cuboid measuring 5 cm × 6 cm × 6 cm.
3.Find the volume of a cuboid measuring 4 cm × 9 cm × 5 cm.
4.Find the volume of a cube with edges of 8 cm.
5.Find the volume of a cube with edges of 5 cm.
6.Find the volume of a cube with edges of 2 cm.
7.Find the volume of a cuboid measuring 6 cm × 2 cm × 8 cm.
8.Find the volume of a cube with edges of 10 cm.
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Age 12 Maths Review11crayonbird.com

Averages and range

Use the data in each question to work out the answer.
Name

Averages and range

Name:
Date:
1.Find the median: 45, 14, 24, 15, 11, 8, 33
2.Find the mean: 15, 8, 23, 27, 45, 32, 60
3.Find the mean: 32, 56, 58, 22, 49, 21, 32, 26
4.Find the mean: 38, 22, 32, 9, 30, 42, 2
5.Find the mode: 24, 24, 20, 20, 24, 15
6.Find the median: 58, 58, 16, 60, 32, 22, 5, 23
7.Find the median: 38, 33, 32, 5, 46, 51
8.Find the median: 8, 55, 58, 37, 29, 2, 55
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Age 12 Maths Review12crayonbird.com

Best buys

Choose the better value in each question.
Name

Best buys

Name:
Date:
1.Washing-up liquid: 100 ml for $2.15 or 200 ml for $5.10. Which is better value?
100 ml for $2.15200 ml for $5.10
2.Pasta: 400 g for $10.50 or 800 g for $24.10. Which is better value?
400 g for $10.50800 g for $24.10
3.Pasta: 200 g for $4.85 or 400 g for $8.40. Which is better value?
200 g for $4.85400 g for $8.40
4.Breakfast cereal: 500 g for $11.35 or 1000 g for $30.20. Which is better value?
500 g for $11.351000 g for $30.20
5.Breakfast cereal: 400 g for $3.75 or 800 g for $6.10. Which is better value?
400 g for $3.75800 g for $6.10
6.Shampoo: 400 ml for $3.30 or 800 ml for $7.60. Which is better value?
400 ml for $3.30800 ml for $7.60
7.Orange juice: 400 ml for $7.10 or 800 ml for $18.40. Which is better value?
400 ml for $7.10800 ml for $18.40
8.Shampoo: 400 ml for $5.90 or 800 ml for $15.50. Which is better value?
400 ml for $5.90800 ml for $15.50
9.Pasta: 300 g for $4.45 or 600 g for $9.85. Which is better value?
300 g for $4.45600 g for $9.85
10.Shampoo: 250 ml for $3.15 or 500 ml for $5.20. Which is better value?
250 ml for $3.15500 ml for $5.20
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Age 12 Maths Review13crayonbird.com

Revision checklist

List your topics, rate how confident you feel, and tick each time you revise.
Name

Revision checklist

Name:
Date:
Subject / topicConfidenceRevised
Age 12 Maths Review14crayonbird.com

Cornell notes

Take notes on the right, write questions and key words on the left, then sum it up at the bottom.
Name

Cornell notes

Name:
Date:
Topic: ________________________________Date: ____________
Questions / key words
Notes
Summary
Age 12 Maths Review15crayonbird.com

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