Grade 7 place value test
A free Grade 7 place value test online, with answers. It draws questions from 2 topics and the numbers change every time, so you can take it again and again. Choose 10, 25 or 50 questions.
What the Grade 7 place value test covers
Grade 7 revises whole numbers and moves on to prime factors of three-digit numbers and the lowest common multiple (LCM) and highest common factor (HCF).
- Place value, primes and integers
- Prime factorisation
When it is taught — Term 1
In the Department of Basic Education’s teaching plan, Grade 7 place value is taught in Term 1. It comes up in the Grade 7 maths Term 1 test, and again in the final Term 4 exam, which covers all four terms.
Sample Grade 7 place value questions
Five questions of the kind the test asks. In the test itself every answer is marked straight away, with the working shown.
1. Is √16 an integer?
- No, because it has a root sign
- Only if you round it
- No, because it is a fraction
- Yes, because √16 = 4
Show the answer
Answer: Yes, because √16 = 4
√16 = 4, and 4 is an integer. The form it is written in does not matter.
2. Write 180 as a product of its prime factors (in exponent form).
- 2 × 3² × 5
- 2² × 3² × 5
- 2 × 2 × 3 × 3 × 5
- 2³ × 3² × 5
Show the answer
Answer: 2² × 3² × 5
Divide repeatedly by primes: 180 = 2 × 2 × 3 × 3 × 5, and in exponent form 2² × 3² × 5.
3. Is 121 a perfect square?
- No
- Yes
Show the answer
Answer: Yes
11² = 121, so yes — in prime form every prime factor appears an even number of times.
4. Write down the place value of the underlined digit: 153.14
- units
- tens
- tenths
- hundreds
Show the answer
Answer: units
The digit 3 stands in the units place.
5. How many different prime factors does 90 have?
- 4
- 3
- 5
- 2
Show the answer
Answer: 3
90 = 2 × 3 × 3 × 5, so the different prime factors are 2, 3, 5 — 3 altogether.
Common mistakes in Grade 7 place value
Reading the 3 in 3 405 as “three” instead of “three thousand”; leaving out the zeros in expanded notation; and rounding down when the deciding digit is a 5.
Questions about the Grade 7 place value test
What does the Grade 7 place value test cover?
It covers 2 CAPS topics: Place value, primes and integers, Prime factorisation. Grade 7 revises whole numbers and moves on to prime factors of three-digit numbers and the lowest common multiple (LCM) and highest common factor (HCF).
When is Grade 7 place value taught?
In the Department of Basic Education’s teaching plan, Grade 7 place value is taught in Term 1. It comes up in the Grade 7 maths Term 1 test, and again in the final Term 4 exam, which covers all four terms.
Where can my child practise Grade 7 place value for free?
On MathTests.co.za: the free Grade 7 place value test draws questions from these topics with fresh numbers every time, and shows the working after every answer. No sign-up.