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Year 7 Number Algebra

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Year 7 Number Algebra

Show your working where asked. Simplify fractions and include units or currency symbols when needed.

Number skills

1.Which number is prime?

2.Round 6.46 to the nearest whole number.

3.Which fraction is equal to 0.45?

45/10
9/20
4/5
1/45

4.If n − 9 = 14, what is the value of n?

5.Write every positive factor of 30 in ascending order.

6.Calculate −7 + 12 − (−4).

7.Simplify 7b − 2b + 4b.

8.A smoothie recipe uses 3/5 of a litre of milk. How much milk is needed to make 2.5 times the recipe? Show your calculation.

9.Match each term to its description.

Multiple of 6
Square number
Prime number
Common factor
Integer
Ratio

A whole number multiplied by itself
A factor shared by two or more numbers
A comparison of quantities by division
A number that is divisible by 6
A positive or negative whole number, or zero
A whole number greater than 1 with exactly two factors

Algebra and problem solving

10.A sports shop sells drink bottles for $4.20 each and caps for $6.50 each. Maia buys 3 bottles and some caps, paying $32.20 altogether. Write an equation and work out how many caps she buys.

11.Explain why 64 is a square number. Then give two other square numbers and show the multiplication that makes each one.

12.A group has 35 people. The ratio of adults to children is 2:5. How many adults and how many children are there? Show how you use the ratio.

13.A number is multiplied by 4, then 7 is added. The result is 35. Write an equation and find the number.