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NAPLAN-style Numeracy Practice Test 1 (Year 7) — Answers

Answer sheet with worked solutions for the Year 7 number practice test.

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Year 7 · Mathematics · Number

NAPLAN-style Numeracy Practice Test 1 (Year 7) — Answers

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Part A — Integers (Directed Numbers)

1.14 + (−7) = [1 mark]

Answer: 7

Adding a negative is the same as subtracting: 14 − 7 = 7

2.(−13) + (−9) = [1 mark]

Answer: −22

Adding a negative is the same as subtracting: -13 − 9 = -22

3.(−19) − 17 = [1 mark]

Answer: −36

Move 17 to the left on the number line.

4.14 − (−18) = [1 mark]

Answer: 32

Subtracting a negative is the same as adding: 14 + 18 = 32

Part B — Order of Operations (BODMAS)

5.(4 + 9) × 7[2 marks]

Answer: 91

  1. Brackets first: 4 + 9 = 13
  2. 13 × 7 = 91
6.15 − 27 ÷ 3[2 marks]

Answer: 6

  1. Divide first: 27 ÷ 3 = 9
  2. 15 − 9 = 6
7.3 × 5 − 2 × 4[2 marks]

Answer: 7

  1. 3 × 5 = 15 and 2 × 4 = 8
  2. 15 − 8 = 7

Part C — Adding and Subtracting Fractions

8. + [2 marks]

Answer:

  1. Lowest common denominator is 9: = , =
  2. + =
9. + [2 marks]

Answer: 1

  1. Lowest common denominator is 6: = , =
  2. + =
  3. Simplify: = 1
10. + [2 marks]

Answer: 1

  1. Lowest common denominator is 10: = , =
  2. + =
  3. Simplify: = 1

Part D — Multiplying and Dividing Decimals

11.72.05 × 3[2 marks]

Answer: 216.15

  1. 7205 × 3 = 21615
  2. Two decimal places in the question, so the answer is 216.15
12.73.15 × 7[2 marks]

Answer: 512.05

  1. 7315 × 7 = 51205
  2. Two decimal places in the question, so the answer is 512.05
13.62.21 × 2[2 marks]

Answer: 124.42

  1. 6221 × 2 = 12442
  2. Two decimal places in the question, so the answer is 124.42

Part E — Fractions, Decimals and Percentages

14.Write 12.5% as a decimal.[1 mark]

Answer: 0.125

  1. 12.5 ÷ 100 = 0.125
15.Write as a decimal.[1 mark]

Answer: 0.35

  1. 7 ÷ 20 = 0.35
16.Write 0.2 as a fraction in simplest form.[1 mark]

Answer:

  1. 0.2 =
  2. Simplify:
17.Write 62.5% as a decimal.[1 mark]

Answer: 0.625

  1. 62.5 ÷ 100 = 0.625

Part F — Percentage of an Amount

18.Zoe's weekly pay of $280 increases by 90%. What is the new weekly pay?[2 marks]

Answer: $532.00

  1. Increase: 90% of 280 = 252
  2. 280 + 252 = 532.00
  3. (Or: 190% × 280 = 532.00)
19.Harper's weekly pay of $640 increases by 20%. What is the new weekly pay?[2 marks]

Answer: $768.00

  1. Increase: 20% of 640 = 128
  2. 640 + 128 = 768.00
  3. (Or: 120% × 640 = 768.00)
20.Find 20% of 80.[2 marks]

Answer: 16

  1. 20% = 0.2
  2. 0.2 × 80 = 16

Part G — Ratio

21.Simplify the ratio 9 : 6[1 mark]

Answer: 3 : 2

  1. HCF of 9 and 6 is 3
  2. Divide both parts by 3
22.Divide $10 in the ratio 4 : 1.[2 marks]

Answer: $8 and $2

  1. Total parts: 4 + 1 = 5
  2. One part: 10 ÷ 5 = 2
  3. 4 × 2 = 8 and 1 × 2 = 2

Part H — Simplifying Expressions (Like Terms)

23.Simplify: −x − 3x + 7[1 mark]

Answer: −4x + 7

  1. −x − 3x = −4x
24.Simplify: 2x + 4x + 9[1 mark]

Answer: 6x + 9

  1. 2x + 4x = 6x
25.Simplify: 6x − 2x + 8[1 mark]

Answer: 4x + 8

  1. 6x − 2x = 4x

Part I — Solving Linear Equations

26.x − 18 = −16[2 marks]

Answer: x = 2

  1. Add 18 to both sides
  2. x = −16 + 18 = 2
27.3x = 12[2 marks]

Answer: x = 4

  1. Divide both sides by 3
  2. x = 12 ÷ 3 = 4
28.8x = 72[2 marks]

Answer: x = 9

  1. Divide both sides by 8
  2. x = 72 ÷ 8 = 9

Part J — Area and Perimeter

29.An L-shape is made from a 9 mm by 2 mm rectangle joined to a 8 mm by 4 mm rectangle. Find the total area.[2 marks]

Answer: 50 mm2

  1. Rectangle 1: 9 × 2 = 18
  2. Rectangle 2: 8 × 4 = 32
  3. Total: 18 + 32 = 50 mm2
30.A triangle has a base of 19 mm and a perpendicular height of 8 mm. Find its area.[2 marks]

Answer: 76 mm2

  1. A = ½ × base × height = ½ × 19 × 8
  2. = 76 mm2

Part K — Mean, Median, Mode and Range

31.Data: 18, 12, 16, 16, 13. Find the (a) mean, (b) median, (c) mode and (d) range.[2 marks]

Answer: mean 15; median 16; mode 16; range 6

  1. Mean: 75 ÷ 5 = 15
  2. Ordered: 12, 13, 16, 16, 18 → median 16
  3. Mode: 16
  4. Range: 18 − 12 = 6
32.Data: 12, 14, 7, 5, 12. Find the (a) mean, (b) median, (c) mode and (d) range.[2 marks]

Answer: mean 10; median 12; mode 12; range 9

  1. Mean: 50 ÷ 5 = 10
  2. Ordered: 5, 7, 12, 12, 14 → median 12
  3. Mode: 12
  4. Range: 14 − 5 = 9
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