1. Number

Middle Years

Worksheet

1

Xanthe wants to evaluate the expression \left(89 + 74\right) \times 33. In which order should Xanthe push the buttons on her calculator to get the correct answer?

A

89 | + | 74 | \times | 33 | = |

B

89 | + | 74 | = | \times | 33 | = |

2

Sandy wants to evaluate the expression \left(429 + 507\right) \div 13. In which order should Sandy push the buttons on her calculator to get the correct answer?

A

507 | \div | 13 | = | + | 429 |

B

429 | + | 507 | = | \div | 13 | = |

3

Danielle wants to evaluate the expression \left(224 - 126\right) \div 14. In which order should Danielle push the buttons on her calculator to get the correct answer?

A

224 | - | 126 | = | \div | 14 | = |

B

224 | - | 126 | \div | 14 | = |

4

Rosey wants to evaluate the expression \left(789 - 31\right) \times 24. In which order should Danielle push the buttons on her calculator to get the correct answer?

A

789 | - | 31 | = | \times | 24 | = |

B

31 | \times | 24 | = | - | 789 |

5

Lucy used her calculator to evaluate \left(20 - 18\right) \times 3 + 19 and got the answer 25.

Is Lucy's answer correct? If not, explain what she might have done wrong.

6

Maximilian used his calculator to evaluate 3 \times 700 and got the answer 210.

Is Maximilian's answer correct? If not, explain what he might have done wrong.

7

Vincent used his calculator to evaluate 6 \times 40\,000 and got the answer 2\,400\,000.

Is Vincent's answer correct? If not, explain what he might have done wrong.

8

Michael used his calculator to evaluate \left(2 + 50\right) \div 77 and got the answer \dfrac{79}{50}.

Is Michael's answer correct? If not, explain what he might have done wrong.

9

Lucy used her calculator to evaluate 20 - \left(5 + 14\right) \div 21 and got the answer \dfrac{401}{21}.

Is Lucy's answer correct? If not, explain what she might have done wrong.

10

Xavier used his calculator to evaluate 16 \times 85 - 2 and got the answer 926.

Is Xavier's answer correct? If not, explain what he might have done wrong.

11

Brad used his calculator to evaluate \left( 4 \times 11 + 9\right) \div 14 - 20 and got the answer \dfrac{85}{2}.

Is Brad's answer correct? If not, explain what he might have done wrong.

12

Evaluate the following:

a

214 + 300

b

99\,735 - 37\,926

c

629 + 543

d

800 \div 10

e

2939 \times 46

f

3563 \div 7

g

5135 \div 65

h

932 \times 28

13

Evaluate the following:

a

720 \div 7 \times 7000

b

44 - \left(31 + \left( 8 \div 2\right)\right)

c

34 + 3294 + 909 + 6204

d

4 \times 6 + 86 - 30

e

4 \times 100000 + 9 \times 10000 + 2 \times 100 + 6 \times 10

14

A charity group for tsunami relief has gathered 588 first aid kits. 21 shelters have been affected. The charity decides to distribute the first aid kits equally between these.

How many first aid kits does each shelter receive?

15

A cargo ship encounters a storm at sea and is delayed by two weeks. Once it reaches its destination, the crew discover that 3 out of the 81 crates of fruit that it carried have spoilt because of the delay. The crew decide to divide the unspoilt crates equally among their 13 different customers, and that whatever remains can be sold separately.

a

Find the number of crates of fruit each customer will receive.

b

Each crate contained 32 kg of fruit and each kilogram of fruit could be sold for \$4. Calculate the loss incurred by the crew because of the spoilage.

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