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Number Patterns Assessment Test
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Number Patterns Assessment Test
Read each pattern carefully. Show your working for calculations and explain your rule when asked. Use a calculator only if your teacher allows it.
Spot the Rule
Explore how numbers grow, shrink and repeat.
1.A robot lights up tiles in this order: 4, 9, 14, 19, __. What number comes next? Choose one.
- 22
- 23
- 24
- 25
2.Continue the pattern: 3, 6, 12, 24, __, __. Write the next two numbers and describe the rule.
3.The number line shows a pattern jumping backwards by 4 each time. Fill the missing values.
4.A pattern starts at 7 and adds 3 each time. Is 25 in the pattern? Explain how you know.
Patterns in Shapes and Stories
Look for a connection between a pattern’s position and its value.
5.Square numbers follow the pattern 1, 4, 9, ... If each number represents the dots in a square arrangement, how many dots will Pattern 4 have?
6.A theatre arranges seats in rows: Row 1 has 5 seats, Row 2 has 8, Row 3 has 11, and so on. How many seats are in Row 6? Show your calculation.
7.Match each sequence to its rule.
- 2, 5, 8, 11
- 30, 25, 20, 15
- 1, 2, 4, 8
- Subtract 5 each time
- Multiply by 2 each time
- Add 3 each time
8.Fill the blank so the rule “add 6 each time” works: 8, 14, __, 26, 32.
Explain and Create
Use clear reasoning to show how number patterns work.
9.A pattern has the rule “multiply the term number by 4, then add 1”. Find the first four terms, beginning with term number 1.
10.Ivy says the sequence 6, 10, 14, 18 has the rule “add 4”. Harper says its 10th term is 42. Is Harper correct? Explain your answer.
11.Create a five-term number pattern that begins at 12 and uses a constant difference. Write the rule and all five terms.
12.A pattern starts at 2 and adds 5 each time. The 8th term is 37. Explain a quick way to find the 20th term without writing every term.
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