Problem Solving in Mathematics for Year 7: Improve Your Skills Today!

Question 1

A shop has 180 apples. They sell 75 apples in the morning and 52 apples in the afternoon. How many apples do they have left?

Accepted Answer

43

Answer

33

Answer

53

Answer

63

Question 2

A bakery makes 234 cupcakes on Monday and 195 cupcakes on Tuesday. How many cupcakes did they make in total?

Accepted Answer

529

Answer

429

Answer

629

Answer

729

Question 3

A shop sells apples for 10 pence each. If you buy 6 apples, how much will it cost?

Accepted Answer

60 pence

Answer

16 pence

Answer

50 pence

Answer

70 pence

Question 4

John has 25 sheep and 17 cows. How many animals does he have altogether?

Accepted Answer

42

Answer

22

Answer

38

Answer

50

Question 5

A packet of sweets contains 20 sweets. If you give 5 sweets to your friend, how many sweets do you have remaining?

Accepted Answer

10

Answer

15

Answer

20

Answer

25

Question 6

A car travels 120 miles in 2 hours. What is the average speed of the car?

Accepted Answer

60 mph

Answer

30 mph

Answer

90 mph

Answer

120 mph

Question 7

A train departs London at 9:00 am and arrives in Birmingham at 11:30 am. What is the duration of the journey?

Accepted Answer

1 hour 30 minutes

Answer

2 hours

Answer

2 hours 30 minutes

Answer

3 hours

Question 8

A car travels 100 kilometers in 2 hours. What is the average speed of the car?

Accepted Answer

50 km/h

Answer

25 km/h

Answer

75 km/h

Question 9

A bag of flour weighs 1 kilogram. How many grams does the bag of flour weigh?

Accepted Answer

1000 g

Answer

500 g

Answer

1500 g

Question 10

Which mathematical operation would you use to find the total number of apples in two baskets?

Accepted Answer

Addition

Answer

Subtraction

Answer

Multiplication

Answer

Division

Question 11

Which of these is an example of a problem that can be solved using addition?

Accepted Answer

Finding the total number of students in two classes

Answer

Calculating the difference between two numbers

Answer

Determining the remainder when dividing one number by another

Question 12

A library has 150 books on one shelf and 225 books on another shelf. How many books are there in the library in total?

Accepted Answer

375

Answer

125

Answer

275

Answer

75

Question 13

What is the first key step in the problem-solving process?

Accepted Answer

Understanding the problem

Answer

Solving the problem immediately

Answer

Giving up if the problem is difficult

Answer

Checking the answer without solving

Question 14

A train departs London at 09:30 and reaches Manchester at 14:15. Calculate the duration of the journey.

Accepted Answer

4 hours 45 minutes

Answer

5 hours 45 minutes

Answer

4 hours 15 minutes

Answer

3 hours 45 minutes

Question 15

Which of the following is NOT a step in the problem-solving process?

Accepted Answer

Guessing and checking

Answer

Drawing a diagram

Answer

Working backwards

Answer

Making a table

Question 16

A farmer has 24 sheep and 16 cows. How many animals does the farmer have in total?

Accepted Answer

40

Answer

32

Answer

12

Answer

28

Question 17

Apples cost 10 pence each. If you buy 5 apples, how much will it cost?

Accepted Answer

50 pence

Answer

15 pence

Answer

25 pence

Answer

100 pence

Question 18

A train leaves at 10:30 am and arrives at 12:15 pm. How long is the train journey?

Accepted Answer

1 hour 45 minutes

Answer

2 hours 15 minutes

Answer

2 hours

Answer

1 hour 30 minutes

Question 19

A school has 120 students in Year 7. If the number of students in Year 7 increases by 20%, how many students will there be?

Accepted Answer

144

Answer

128

Answer

100

Answer

160

Question 20

A bag has 5 red marbles, 3 blue marbles, and 2 green marbles. If you pick one marble at random, what is the probability of picking a blue marble?

Accepted Answer

3/10

Answer

1/3

Answer

1/5

Answer

1/2

Question 21

A rectangle has an area of 24 square centimeters. If its width is 4 centimeters, what is its length?

Accepted Answer

6 centimeters

Answer

12 centimeters

Answer

8 centimeters

Answer

10 centimeters

Question 22

A train travels at 60 miles per hour for 2 hours. How far does the train travel?

Accepted Answer

120 miles

Answer

80 miles

Answer

160 miles

Answer

60 miles

Question 23

A train travels 120 miles in 2 hours. What is the average speed of the train in miles per hour?

Accepted Answer

60

Answer

180

Answer

40

Answer

30

Question 24

A rectangular garden is 8 meters long and 5 meters wide. What is the total distance around the garden?

Accepted Answer

26 meters

Answer

10 meters

Answer

13 meters

Answer

40 meters

Question 25

A pizza is cut into 8 equal slices. If you eat 3 slices, what fraction of the pizza have you eaten?

Accepted Answer

3/8

Answer

2/8

Answer

1/2

Answer

1/4

Question 26

A farmer has 20 sheep and 12 cows. How many animals does he have in total?

Accepted Answer

32

Answer

24

Answer

36

Answer

30

Question 27

A shop sells apples for 20p each. If I buy 5 apples, how much will it cost?

Accepted Answer

£1.00

Answer

50p

Answer

£2.00

Answer

£1.50

Question 28

A train leaves London at 10:00 AM and arrives in Manchester at 12:30 PM. How long does the journey take?

Accepted Answer

2 hours 30 minutes

Answer

2 hours 45 minutes

Answer

3 hours 00 minutes

Answer

1 hour 30 minutes

Question 29

A baker has 35 cupcakes and sells 18. How many cupcakes are left?

Accepted Answer

17

Answer

53

Answer

13

Answer

23

Question 30

A farmer has 27 sheep and buys another 14. How many sheep does the farmer have now?

Accepted Answer

41

Answer

51

Answer

13

Answer

31

Question 31

A shop sells 24 apples on Monday and 36 apples on Tuesday. How many apples did they sell in total?

Accepted Answer

60

Answer

12

Answer

70

Answer

50

Question 32

A group of friends are collecting cans for recycling. They collect 56 cans on Saturday and 48 cans on Sunday. How many more cans did they collect on Saturday?

Accepted Answer

8

Answer

12

Answer

16

Answer

20

Question 33

A rectangular garden is 12 metres long and 8 metres wide. What is the perimeter of the garden?

Accepted Answer

40 metres

Answer

96 metres

Answer

32 metres

Answer

20 metres

Question 34

A library has 150 books on the shelves and 75 books are borrowed. How many books are left in the library?

Accepted Answer

75

Answer

225

Answer

100

Answer

25

Question 35

A bus has 32 passengers. 14 passengers get off at the next stop. How many passengers are left on the bus?

Accepted Answer

18

Answer

16

Answer

46

Answer

22

Question 36

A recipe calls for 500g of flour and 250g of sugar. How much more flour is needed than sugar?

Accepted Answer

250g

Answer

750g

Answer

125g

Question 37

A shopkeeper has 72 balloons and sells 45. How many balloons does the shopkeeper have left?

Accepted Answer

27

Answer

33

Answer

17

Answer

117