Grade 7 patterns test
A free Grade 7 patterns test online, with answers. It draws questions from 3 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 patterns test covers
Grade 7 investigates numeric and geometric patterns, describes and justifies the general rule, and finds input and output values with flow diagrams, tables and formulae.
- Patterns and the Tₙ rule
- Flow diagrams and functions
- Geometric patterns and direct proportion
When it is taught — Term 2
In the Department of Basic Education’s teaching plan, Grade 7 patterns are taught in Term 2. It comes up in the Grade 7 maths Term 2 test, and again in the final Term 4 exam, which covers all four terms.
Sample Grade 7 patterns questions
Five questions of the kind the test asks. In the test itself every answer is marked straight away, with the working shown.
1. For the pattern Tₙ = 4n + 8, which term is equal to 92?
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Answer: 21
92 − 8 = 84, and 84 ÷ 4 = 21. So it is term number 21.
2. A water bottle holds 2.1 litres. Every half hour 0.3 litres is drunk. How many full half hours does the water last?
- 14
- 7
- 8
- 6
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Answer: 7
2.1 ÷ 0.3 = 7.00, so 7 full half hours.
3. In this flow diagram the rule is × 2. What is the output if the input is 0?
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Answer: 0
Anything times 2 is still 0 when the input is 0.
4. The pattern is 10 ; 16 ; 22 ; 28 … What is the 8th term?
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Answer: 52
The rule is Tₙ = 6n + 4. At n = 8: 6 × 8 + 4 = 52.
5. A sequence has the rule Tₙ = 5n + 2. Calculate the 100th term.
- 513
- 507
- 502
- 496
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Answer: 502
Replace n with 100: 5 × 100 + 2 = 502.
Common mistakes in Grade 7 patterns
Adding the difference to the position number instead of the previous term, and mixing up the term’s number with the term’s value.
Questions about the Grade 7 patterns test
What does the Grade 7 patterns test cover?
It covers 3 CAPS topics: Patterns and the Tₙ rule, Flow diagrams and functions, Geometric patterns and direct proportion. Grade 7 investigates numeric and geometric patterns, describes and justifies the general rule, and finds input and output values with flow diagrams, tables and formulae.
When is Grade 7 patterns taught?
In the Department of Basic Education’s teaching plan, Grade 7 patterns are taught in Term 2. It comes up in the Grade 7 maths Term 2 test, and again in the final Term 4 exam, which covers all four terms.
Where can my child practise Grade 7 patterns for free?
On MathTests.co.za: the free Grade 7 patterns test draws questions from these topics with fresh numbers every time, and shows the working after every answer. No sign-up.