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1.06 Solving contextual problems with whole numbers

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1

On John's farm, there are 7 sheep and 8 chickens. How many animals are there altogether?

2

Marge earns \$19 the first weekend she babysits, and \$45 the second weekend she babysits. Over the two weekends, how much does she earn in total?

3

The temperature on Tuesday was 27 \degreeC. The temperature on Friday was 4 \degree C cooler than on Tuesday. What was the temperature on Friday?

4

I scored 5 goals in my netball match. Christa scored twice as many as me. How many goals did Christa score?

5

I am three times as old as my sister. My sister is 7 years old. How old am I?

6

There were 133 sharks in Charon Bay last year. This year the population has decreased to 82 sharks. How much of the shark population in Charon Bay was lost in the last year?

7

I want to make 6 biscuits with 14 chocolate chips in each of them. How many chocolate chips do I need to use in total?

8

Jack made candles for 7 of his friends. Each candle had 12 layers. How many layers did Jack make altogether?

9

A factory will produce 84 kilograms of chocolate this week. If it already has 150 kilograms of chocolate left over from last month's production, what will be the total stock of chocolate at the factory by the end of this week?

10

The number of motor accidents at a particular intersection was reported by traffic police to be 94 last year. The local council then decided to put up warning signs for motorists approaching this intersection. The following year the police reported only 35 accidents there.

How many fewer accidents were there after the signs were introduced?

11

Bill can solve a Rubik's cube three times faster than Victoria. If it took Victoria 9 minutes to solve one, how long did it take Bill?

12

A collection effort by a charity to help those affected by a hurricane finds that it has gathered 322 pairs of sandals. There are 14 shelters that house a roughly equal number of people who have been affected. The charity decides to distribute the pairs of sandals equally between these.

How many pairs of sandals does each shelter receive?

13

Christa performs an experiment where she pours 80 millilitres of honey, 82 millilitres of vegetable oil, and 200 millilitres of water into a tall glass. What is the total volume of liquid she has poured into the glass?

14

Mae, Luke and Han put their money together for a gift for their father on Father's Day. The gift cost them \$60 all together. Mae contributed \$20 and Luke contributed \$25. How much was Han's contribution to the gift?

15

On Meteor Island a species of hawk sustains itself by eating the local rabbits. In the first survey of animals on the island, there were found to be 7 rabbits for every hawk. The rabbit population has grown to 840 individuals according to the last survey, and there are still 7 rabbits for every hawk.

How many hawks does this island now support?

16

A cargo ship transporting crates of fruit encounters a storm on the high seas and is delayed by two weeks. Once it arrives the crew discovers that 3 out of the 96 crates of fruit have spoilt.

If each crate contained 36 kg of fruit and each kilogram of fruit can be sold for \$4, what is the value of the remaining cargo?

17

A factory makes around 5000 mobile phone batteries every month, and the defects are removed by a quality control expert. There were 15 defects in January, 16 in February, and 23 in March.

a

How many defects were there in January, February, and March combined?

b

The next three months produced the same total number of defects as the first three months. However, each of April, May, and June produced the same number of defects. How many defects were there in April?

18

Buzz wanted to share some sweets between his football teammates. He brought 60 sweets expecting all 10 of his teammates to be at practice, but two did not come. He splits the sweets equally among his teammates who came and keeps the remainder for himself.

How many sweets are left over?

19

Sarah is playing a number game. She starts with any number, and if it is even she divides the number by 2. If it is odd she triples the number and adds 1. This gives her a new number, and she repeats the same steps on this new number. She keeps going until her number is 1.

An example of a list of numbers she makes is shown below.

Starting numberList
55,16,8,4,2,1

Write the complete list she would create if she started with the number 3.

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