Grade 7 · CAPS

Grade 7 Numbers & Operations

Maths practice questions and a worked example

Grade 7 Numbers and Operations builds on whole-number arithmetic with integers, common fractions, decimal fractions, exponents and roots, and real-world ratio and percentage problems. Questions here are drawn from real Grade 7 school test and exam papers (Tom Newby School, June and November 2022), covering the mix of rounding, factors and multiples, order of operations, fraction and decimal calculations, and percentage-increase word problems that make up the bulk of a Grade 7 numbers test.

Worked example

Calculate: the sum of an integer and its additive inverse is ____

Answer & explanation

1. An integer and its additive inverse are two numbers that add up to zero. For example, if the integer is 5, its additive inverse is -5. 2. When you add these two numbers together, you get:

5 + (- 5) = 0

. 3. This is true for any integer. If the integer is

x

, then its additive inverse is

- x

, and their sum is

x + (- x) = 0

. Thus, the sum of an integer and its additive inverse is always 0.

Test your understanding

Try a similar Grade 7 Numbers & Operations question and get a useful next step based on your answer.

No account needed to start.

Numbers & Operations

Question 1 of 3

9 347,879 rounded off to the nearest tenth is?

A9 348,0B9 347,9C9 347,88D9 348,0

Learn from each answer, right or wrong.

Try again before revealing the solution.

Common mistakes

Forgetting the correct order of operations (brackets, exponents/roots, then multiplication/division before addition/subtraction), and sign errors when adding, subtracting, multiplying or dividing negative integers.