OxBridge Centre Year 4 Intermediate Problem Solving Sample workbook

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/ 105 =

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Class average

Problem Solving

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09

Intermediate

Your score

Ready!

Negative Numbers

A

Increase −2 by 5.

B

Which is bigger: −3 or 3?

C

Put the numbers below in order, putting the lowest first:

5, -3, 6, 12, -8, 0.

D

What is the difference in temperature between −3oC and 1oC?

E

The temperature falls from 0oC to −4oC. By how many degrees did the temperature fall?

F

The temperature rises by 3 degrees from −2oC. What is the new temperature?

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Math Plus 09 Inputs and Outputs

G

Phoebe bought 20 tomato plants. She planted them in her garden in 4 even rows. How many tomato plants did she put in each row?

H

Harry had 28 cards and gave them to 7 of his friends equally. How many cards does each friend get?

I

Amanda cut 54 slices of watermelon and divided them evenly among 6 plates. How many watermelon slices are on each plate?

J

There are 120 students having lunch at the picnic area. If each picnic table seats 8 people, how many tables will the students need?

K

An art museum has 9 rooms. Each room has 54 paintings. How many paintings are there in the museum altogether?

L

12 volunteers are collecting cans of food. They collected 72 cans all together. If 12 volunteers each collected the same number of cans, how many cans did each collect?

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Go! Go!

Show me your working out.

A

Evan and Jen are scuba diving. Evan is 25 metres below the surface of the water and Jen is 5 meters directly above him. How many metres below the surface of the water is Jen at?

What is the level of the surface of the water?

Who is deeper below the surface of the water?

How many metres below the surface of the water is Evan at?

What is the difference of the distance between them?

How many metres below the surface of the water is Jen at?

B

How much would Hilary’s bank account be overdrawn by if she spent £100 but only have £50 in the ​bank?

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Math Plus 09 C

It takes Noel 15 minutes to run a kilometre. How many kilometres can he run in 120 minutes?

How many minutes are in an hour?

Convert 120 minutes to hours.

How many 15 minutes are there in an hour?

How many 15 minutes are there in 2 hours?

How many kilometres can he run in 30 minutes?

How many kilometres can he run in an hour?

How many kilometres can he run in 120 minutes?

D

Emma’s mum gave her £50 to go shopping.

She bought a jumper for £12, a T-shirt for £6 and a pair of shoes for £22. How much money does Emma have left?

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Go! Go! E

At 6pm the temperature in Kenya was 32°C. By 2am, it had d ​ ropped by 11°C, but by 10am the following morning it had risen by 15°C. ​What is the temperature in Kenya at 10am?

F

Miranda has £72 in her bank. Her car had broken down and it cost her £249 to get it fixed. By how much has Miranda overdrawn?

G

The temperature on Tuesday is 5°C. On Wednesday it is 6 degrees colder. What is the temperature on Wednesday?

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Math Plus 09 H

Clara walked 4 blocks from her house to the bus stop. She rode the bus for 22 blocks to the cinema.

Later, she came home the same way. How many blocks did Clara travel all together?

I

Valerie cut 38 pieces of carrot sticks and arranged them evenly on 4 plates and left 2 pieces of carrot.

How many carrot sticks did she put on each plate?

J

There is a parking area below ground level in a building. The ground floor in this building is called the 1st floor. If Mike starts at the 14th floor and goes down 17 floors to get his car, how many floors below ground level is his car parked?

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Review

A Complete these tables showing the new temperature or the change in

temperature.

Monday

Change

4°C

-10°C

12°C

6°C

-2°C

+6°C

-5°C

0°C

0°C

-7°C

1°C

-6°C

2°C

-9°C

5°C

-2°C

-5°C

+3°C

0°C

-3°C

-4°C

+7°C

-4°C

4°C

Tuesday

Monday

Change

Tuesday

B Write each set of numbers in order, starting with the smallest.

2 –8 7 3 –4 –9

9 – 11 – 9 10 4 8

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1 0 –6

–9 6 –5

–8 0 8 –6 7 4

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Math Plus 09 C Answer these questions below.

∙ The temperature is 4oC. It rises by 3oC. What is the new temperature?

∙ The temperature is 1oC. It falls by 2oC. What is the new temperature?

∙ The temperature is 2oC. It falls by 4oC. What is the new temperature?

∙ The temperature is −3oC. It rises by 5oC. What is the new temperature?

D Using the number line on the right, answer the questions below.

C

o

5

∙ What temperatures are shown by the letters?

1

A

2

B

3

C

C 0

A −5

∙ State the difference between temperatures: 1

A and B

2

A and C

B −10

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Cooldown 1 2

Do you remember what they are called?

N D

Fill in the missing numbers to make them equal.

1 2

=

2

=

4

=

8

1 4

=

2

=

4

=

8

1 6

=

2

=

4

=

8

1 3

=

2

=

4

=

8

1 8

=

2

=

4

=

8

1 5

=

2

=

4

=

8

1 7

=

2

=

4

=

8

1 9

=

2

=

4

=

8

1 2

= 4 = 12 = 48

2 3

= 6 = 18 = 72

3 5

= 10 = 30 = 120

1 7

= 21 = 63 = 189

1

1

1

1

1

1

1

1

1

1

1

1

2 6

= 12 = 36 = 144

1

1

1

2 3

= 9 = 27 = 81

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Math Plus 09 Complete these additions and subtractions.

1 5

+ 5 = 5

1

2 5

+ 5 = 5

1 6

+ 6 = 6

+ 8 = 8 8

5

1 6

+ 6 = 6

1 9

+ 9 = 9

1 3

+ 3 = 3

3 8

+ 8 = 8

+ 7 = 7 7

6

2 9

+ 9 = 9

4 5

− 5 = 5

2 3

− 3 = 3

4 6

− 6 = 6

8 9

− 9 = 9

4

3

3

1

2

3

3

2

− 6 = 6 6

1 4

2

+ 4 = 4

2

1

7

1

1

5

3

5

9

+ 10 = 10 10

5 9

− 9 = 9

− 10 = 10 10

6

3 4

− 4 = 4

3 7

− 7 = 7

7 8

− 8 = 8

2 8

− 8 = 8

2

1

1

3

2

3

5

1

− 10 = 10 10

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Homework

Fill in the missing numbers to make them equal.

3 8

= 24 = 80 = 480

1

1

1

4 7

= 21 = 49 = 420

3 6

= 18 = 54 = 360

1

1

1

5 9

= 18 = 54 = 81

2 1 1 1 = = = 10 20 40 80

3 5

= 10 = 30 = 90

3 4

2 9

= 18 = 36 = 72

1

1

1

= 12 = 48 = 80

1

1

1

1

1

1

1

1

1

1

1

1

Complete these additions.

2 5

+ 5 = 5

2

5 9

+ 9 = 9

4 9

+ 9 = 9

8

3

3

4

+ 5 = 5 5

1 3

1

3 6

+ 6 = 6

+ 6 = 6 6

4

2 4

+ 4 = 4

2 8

+ 8 = 8

1 4

+ 4 = 4

2 7

+ 7 = 7

+ 3 = 3

3

2

6

1

3

1

6

9

+ 10 = 10 10

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