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Number Patterns and Algebra
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Number Patterns and Algebra
Aisha, Mei and Rawiri are helping at a hardware store. Solve the number patterns and find the missing values. Show your thinking where you can.
Spot the pattern
1.The store has boxes labelled 18, 42, 27, 9 and 35. Write the labels from smallest to largest.
2.Aisha stacks packs of screws in a pattern: 4, 8, 12, __, __, 24. Fill in the two missing numbers.
3.Mei counts paint tins backwards: 60, 50, 40, __, __, 10. What two numbers come next in the pattern?
4.Rawiri arranges sample tiles in this repeating pattern: square, circle, square, circle, square, __. Which shape comes next?
- Square
- Circle
- Triangle
Find the missing number
5.Aisha has 7 packets of nails. She needs 12 packets altogether. Fill in the missing number: 7 + __ = 12.
6.A box had some drill bits. After Mei takes 6 out, 9 remain. Fill in the missing number: __ − 6 = 9.
7.Each small toolbox costs $3. Complete the table to find the cost of 1, 2, 3 and 4 toolboxes.
Toolboxes: 1
Cost: ____
Toolboxes: 2
Cost: ____
Toolboxes: 3
Cost: ____
Toolboxes: 4
Cost: ____
8.One star sticker stands for 4. What number do three star stickers stand for? Write a number sentence too.
9.The store packs 5 bolts in each small bag. Complete the rule: number of bolts = 5 × number of bags. How many bolts are in 6 bags?
10.Aisha says the next numbers in 2, 5, 8, 11 are 14 and 17. Is she correct? Explain the rule.
11.Make your own number pattern that starts at 6 and has four numbers. Use the rule “add 4 each time”.
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