Free Year 7 NAPLAN-style numeracy practice test

29 questions in 65 minutes, for Year 7. Free, with no sign-up.

Twenty-nine maths questions on a sixty-five-minute clock, the time the real Year 7 numeracy test takes. Your child picks an answer for each. Then you see the marks, what the paper found and the skills to look at first.

The real test: The real Year 7 NAPLAN numeracy test takes 65 minutes, as nap.edu.au states, and this paper has the same clock. It has 29 questions, the number Learnest chose: the real test is tailored online, so the questions change with a child's answers. The questions here are Learnest's own, in the style of the test, and never from a past paper. ACARA's free public demonstration site on nap.edu.au shows the real format.
What it covers: Problem solving 4 questions

Number and algebra 15 questions

Geometry 3 questions

Measurement 4 questions

Data and chance 3 questions
What it leaves out: This paper is not tailored: every child gets the same questions, and all of them are multiple choice. There is no writing and no reading paper here. The real Year 7 test has a short section with no calculator, then an online calculator for the rest. This paper has no calculator section, so sit all of it with no calculator.
How to sit it: A quiet table, a pencil and spare paper for working, and no calculator. Press Start the clock below, or set a timer for 65 minutes. Your child picks one answer for each question.
Sitting it again: The questions are the same every time, so your child can sit this paper again. Leave a few weeks first, so the second try shows what they can do rather than what they remember.

Learnest marks the answers and keeps none of them. There is nothing to sign up for and no email to give.

Prefer paper? Print the paper, with the answers on the last page.

Question 1 of 29

A roof frame is an isosceles triangle. Each angle where the roof meets the ceiling beam is 72 degrees. What is the angle at the top of the roof?
- A: 36
- B: 108
- C: 54
- D: 144
Question 2 of 29

What is ⁷⁄₁₀ - ³⁄₁₀? Give the answer in simplest form.
- A: ¹⁰⁄₂₀
- B: 1
- C: ²⁄₅
- D: ⁴⁄₂₀
Question 3 of 29
Two parallel lines are cut by a transversal. One angle is 110 degrees. What is the co-interior angle beside it?
- A: 110
- B: 70
- C: 55
- D: 250
Question 4 of 29
Lina spent half of her money on a book and then $6 on lunch. She had $9 left. How many dollars did Lina start with?
- A: 7.5
- B: 30
- C: 24
- D: 15
Question 5 of 29
Which value of x solves 4(x+5)=72?
- A: 13
- B: 67
- C: 18
- D: 23
Question 6 of 29
Write 40% as a fraction in simplest form.
- A: ⁴⁄₁₀
- B: ²⁄₅
- C: ⁴⁰⁄₁₀
- D: ⁵⁄₂
Question 7 of 29

A round plate has a diameter of 26 centimetres. Take pi as 3.14. How far is it around the edge of the plate, in centimetres?
- A: 81.64
- B: 40.82
- C: 163.28
- D: 530.66
Question 8 of 29
Write the ratio 8:12:20 in its simplest form.
- A: 4:6:10
- B: 2:3:5
- C: 2:3:20
- D: 2:3:4
Question 9 of 29
If a = 5, what is 3a + 4?
- A: 19
- B: 39
- C: 12
- D: 15
Question 10 of 29

Which of these temperatures is the coldest?
- A: -4
- B: 12
- C: -9
- D: 2
Question 11 of 29

Use the graph of the vocabulary quiz, marked out of 5. How many students took it in total?
- A: 13
- B: 12
- C: 15
- D: 5
Question 12 of 29
Kai buys 5 books at r dollars each and a $3 bookmark, spending $83 in total, so 5r + 3 = 83. What is r?
- A: 80
- B: 17.2
- C: 16
- D: 13.6
Question 13 of 29
Hana thinks of a number n and adds 18 to get 45, so n + 18 = 45. What is n?
- A: 2.5
- B: 27
- C: 63
- D: -27
Question 14 of 29
Grace and Dev share $28 in the ratio 3:4. How much does Grace get?
- A: $4.00
- B: $12.00
- C: $16.00
- D: $14.00
Question 15 of 29
Simplify 7a × 3a.
- A: 21a
- B: 10a²
- C: 10a
- D: 21a²
Question 16 of 29

In a kite, the angle between the two short sides is 124 degrees and the angle between the two long sides is 58 degrees. What is each of the other two angles?
- A: 182
- B: 89
- C: 178
- D: 118
Question 17 of 29
Multiplying 2026 sevens together gives a huge number, 7²⁰²⁶. What is its units digit?
- A: 9
- B: 7
- C: 3
- D: 1
Question 18 of 29
A jacket priced at $45 is reduced by 20%. What is the sale price?
- A: $54.00
- B: $36.00
- C: $9.00
- D: $25.00
Question 19 of 29
Ivy sets out 36 chairs in equal rows, with no chair left over. A row can hold any number of chairs from 1 to 36. How many different row lengths could Ivy choose?
- A: 7
- B: 5
- C: 10
- D: 9
Question 20 of 29
What is -3 × 4 × (-2)?
- A: 9
- B: -14
- C: 24
- D: -24
Question 21 of 29

A triangular prism has a cross section with base 8 cm and height 7 cm, and is 10 cm long. What is its volume in cubic centimetres?
- A: 25
- B: 28
- C: 280
- D: 560
Question 22 of 29

Which of these points lies on the line y = 3x-2?
- A: (2, 4)
- B: (4, 2)
- C: (5, 15)
- D: (2, 8)
Question 23 of 29

Mei measures a right-angled triangle with shorter sides of 6 centimetres and 7 centimetres. Using the table, what is the hypotenuse in centimetres, correct to one decimal place?
- A: 85
- B: 3.6
- C: 9.2
- D: 9.22
Question 24 of 29
Two straight lines cross. One of the angles is 62 degrees. What do the two angles next to it add to, in degrees?
- A: 236
- B: 124
- C: 118
- D: 298
Question 25 of 29
Leila shares ³⁄₄ of a cake equally among 6 people. What fraction of the whole cake does each person get?
- A: ²⁄₉
- B: 8
- C: ⁹⁄₂
- D: ¹⁄₈
Question 26 of 29

A rectangle has a perimeter of 44 cm and a width of 9 cm. What is its length in centimetres?
- A: 26
- B: 35
- C: 22
- D: 13
Question 27 of 29
What is the highest common factor of 16 and 24?
- A: 2
- B: 4
- C: 48
- D: 8
Question 28 of 29
A spinner lands on red with a probability of 45 per cent. What is the chance it does not land on red?
- A: 45%
- B: 145%
- C: 50%
- D: 55%
Question 29 of 29

An art club has 45 students: 20 seniors and 25 juniors. Of the seniors, 8 paint. Altogether 19 students paint. How many juniors do not paint?
- A: 12
- B: 26
- C: 14
- D: 11

Leave a question blank if your child does not know. It shows as not answered.

Learnest is not affiliated with ACARA, NESA, the NSW Department of Education or the Australian Maths Trust. Every question in this paper is Learnest's own, written for practice. None comes from a past paper.

1	2	3	4	5	6	7	8	9	10
2	4	6	8	10	12	14	16	18	20
3	6	9	12	15	18	21	24	27	30
4	8	12	16	20	24	28	32	36	40
5	10	15	20	25	30	35	40	45	50
6	12	18	24	30	36	42	48	54	60
7	14	21	28	35	42	49	56	63	70
8	16	24	32	40	48	56	64	72	80
9	18	27	36	45	54	63	72	81	90
10	20	30	40	50	60	70	80	90	100