NAPLAN Year 7 Numeracy Practice Test PDF

Try each question first, then open the worked solution to check your answer and see how to reach it.

1. 1.What is the value of 7 + (3 x 5)?

   • A50
   • B22
   • C15
   • D38
   Show answer and working

   Answer: B (22)

   Follow the order of operations: work out brackets first. Inside the brackets, 3 × 5 = 15. Then do the addition: 7 + 15 = 22. The answer 50 comes from working left to right, adding 7 + 3 = 10 and then multiplying by 5, which ignores the brackets. NAPLAN often tests this, so always look for brackets first.

2. 2.Which of these numbers is the largest?

   • A0.75
   • B0.8
   • C0.7
   • D0.09
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   Answer: B (0.8)

   Compare decimals place by place, starting with the tenths digit. 0.8 has 8 tenths, 0.75 has 7 tenths, 0.7 has 7 tenths and 0.09 has 0 tenths. The biggest tenths digit is 8, so 0.8 is largest. A common trap is thinking 0.75 is bigger because it has more digits. Writing 0.8 as 0.80 makes the comparison clear.

3. 3.What is 25% of 80?

   • A10
   • B15
   • C20
   • D25
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   Answer: C (20)

   25% means 25 out of 100, which is the same as one quarter. To find a quarter of 80, divide by 4: 80 ÷ 4 = 20. You can also use 10% = 8, so 20% = 16, plus 5% = 4, giving 16 + 4 = 20. Knowing that 25% = 1/4 and 50% = 1/2 makes these questions fast.

4. 4.Solve for x: 2x + 5 = 15

   • A2
   • B5
   • C10
   • D7
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   Answer: B (5)

   Undo the operations in reverse order to get x on its own. First subtract 5 from both sides: 2x + 5 − 5 = 15 − 5, so 2x = 10. Then divide both sides by 2: x = 5. Check by substituting: 2 × 5 + 5 = 15, which is correct. The answer 10 stops before dividing by 2.

5. 5.What is the probability of rolling a 6 on a standard die?

   • A1/2
   • B1/6
   • C1/3
   • D1/4
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   Answer: B (1/6)

   Probability = number of favourable outcomes ÷ total number of outcomes. A standard die has six faces numbered 1 to 6, and only one of them shows a 6. So the probability is 1/6. The answer 1/2 would be the chance of rolling an even number (2, 4 or 6), which is three outcomes out of six.

6. 6.Calculate the mean of: 2, 4, 6, 8, 10

   • A5
   • B6
   • C7
   • D8
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   Answer: B (6)

   The mean is the total divided by how many numbers there are. Add the numbers: 2 + 4 + 6 + 8 + 10 = 30. There are 5 numbers, so the mean is 30 ÷ 5 = 6. Because these numbers are evenly spaced, the mean is also the middle value, which is a quick way to check your answer.

7. 7.Simplify: 3a + 2b - a + b

   • A2a + 3b
   • B4a + 3b
   • C2a + b
   • D3a + 3b
   Show answer and working

   Answer: A (2a + 3b)

   Collect like terms, which means adding or subtracting terms with the same letter. For the a terms: 3a − a = 2a. For the b terms: 2b + b = 3b. So the expression simplifies to 2a + 3b. You cannot combine a and b terms, because they stand for different unknown values. The answer 4a + 3b adds the a instead of subtracting it.

8. 8.A jacket costs $80. It is on sale for 15% off. What is the sale price?

   • A$65
   • B$68
   • C$72
   • D$12
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   Answer: B ($68)

   Find the discount first. 10% of $80 is $8, and 5% is half of that, $4, so 15% is $8 + $4 = $12. Subtract the discount from the original price: $80 − $12 = $68. The answer $12 is the amount saved, not the sale price, so check what the question is asking for before choosing.

9. 9.The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many girls are there?

   • A12
   • B15
   • C20
   • D24
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   Answer: C (20)

   A ratio of 3:5 means that for every 3 boys there are 5 girls, so each group of students has 3 + 5 = 8 parts. Divide the class into parts: 32 ÷ 8 = 4 students per part. Girls have 5 parts: 5 × 4 = 20 girls. Check: boys are 3 × 4 = 12, and 12 + 20 = 32 students.

10. 10.What is the value of 2³ + 4²?

    • A14
    • B20
    • C24
    • D28
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    Answer: C (24)

    An index (power) tells you how many times to multiply a number by itself. 2³ = 2 × 2 × 2 = 8, and 4² = 4 × 4 = 16. Then add: 8 + 16 = 24. The answer 14 comes from multiplying each base by its power (2 × 3 + 4 × 2), which is a common mistake with indices.