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Number and Algebra Foundations
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Number and Algebra Foundations
Show your working where needed. Use the diagrams to help with the visual questions.
Number operations and fractions
1.Calculate: 4.28 × 10 = ____; 0.53 × 100 = ____; 7.06 × 1,000 = ____.
2.Round 6.6 and 12.2 to the nearest whole number, then use the rounded values to estimate their sum.
3.Which fraction is equal to 0.6? Choose one.
- 3/5
- 2/5
- 6/100
- 5/3
4.Write each improper fraction as a mixed number: 13/4 and 22/6.
5.Match each fraction to its decimal form.
- 1/4
- 1/5
- 3/4
- 9/10
- 0.75
- 0.25
- 0.9
- 0.2
Patterns and algebra
6.Continue the sequence 4, 9, 14, 19, ____, ____. Then describe the rule.
7.Find the value of each variable: a) p + 9 = 23; b) 4q = 32; c) r − 6 = 11; d) s ÷ 5 = 7.
8.Hemi has some marbles. She gives 7 away and has 18 left. Let m be the number she had at first. Write an equation and solve it.
9.A number pattern starts at 5. To get each next term, multiply the previous term by 2 and then add 1. Write the next four terms.
Reasoning and problem solving
10.A sports bag costs $48. It is discounted by 25%. How much is the discount, and what is the sale price?
11.Explain how multiplying a decimal by 100 changes its value. Include an example.
3 printable pages
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