Progress check
Year 4
Mathematics
Paper 2: reasoning and problem solving
First name
Middle name
Last name
Date of birth
Day
Month
Year
Teacher
Published Spring 2016
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Page 2 of 16
Instructions
You may not use a calculator to answer any questions in this test.
Questions and answers
You have 35 minutes to complete this test.
Follow the instructions for each question.
Work as quickly and as carefully as you can.
If you need to do working out, you can use the space around the question.
Some questions have a method box like this:
Show
your
method
For these questions you may get a mark for showing your method.
If you cannot do one of the questions, go on to the next one.
You can come back to it later, if you have time.
If you finish before the end, go back and check your work.
Marks
The number under each line at the side of the page tells you the
maximum number of marks for each question.
Page 3 of 16
1
Match each fraction to its decimal equivalent.
3
4
0.25
1
4
0.34
4
10
0.4
34
100
0.75
2 marks
2
Work out the missing fraction.
3
8
+
=
1
8
+
5
8
1 mark
Page 4 of 16
3
Here are the start and end times of a film.
Start
11
12
End
1
10
2
9
3
8
4
7
6
5
How long does the film last?
Show
your
method
2 marks
Page 5 of 16
4
Order the decimals from smallest to largest.
4.34
4.42
4.36 5.02
4.24
1 mark
Write a number that could be placed between the 2nd and 3rd
decimals in your list above.
1 mark
5
Tick (3) the diagrams where
1
is shaded.
4
1 mark
Page 6 of 16
6
Jo makes the following number.
Ones
Tenths
0.1
Hundredths
0.1
0.01
0.01
0.01
0.01
0.01
0.01
What number is represented?
1 mark
1
Tamsin is making the decimal equivalent to using place
2
value counters.
Fill in the missing counters.
Ones
Tenths
Hundredths
0.1
1 mark
Page 7 of 16
7
Simon has
5
of a pizza.
7
2
1
He eats 7 and gives 7 to his friend.
What fraction does Simon have left?
1 mark
8
Complete the statements.
45 ÷ 10 =
× 100 = 45
45 ÷
= 0.45
× 10 = 45
2 marks
Page 8 of 16
9
Class 4 are doing a sponsored run.
They round their distances to the nearest mile.
Complete the table.
Name
Distance (miles)
Rounded to the
nearest mile
Sarah
7.2
7
Tilly
6.4
Oliver
14.5
Junaid
8.7
9
1 mark
To the nearest mile, Jack ran 8 miles.
Write three distances Jack could have run.
2 marks
Sarah raised 75p for every whole mile she ran.
How much money did Sarah raise?
Show
your
method
2 marks
Page 9 of 16
Here is a clock.
XII
I
IV
I
VII
III
IX
II
X
XI
V
VI
VII
10
Tick (3) the times the clock is showing.
Twenty five minutes to twelve
11:35
Twenty five minutes to eleven
23:35
2 marks
Page 10 of 16
11
Jasmine’s birthday is on the 18th of January.
Maryam’s birthday is on the 15th of February.
What is the difference between their birthdays in weeks and days?
weeks
days
2 marks
Harry’s birthday is 7 weeks after Maryam’s.
What month is Harry’s birthday in?
1 mark
Page 11 of 16
12
Helena delivers newspapers.
She gets paid £8.75 per hour and she works 9 hours per week.
How much money does she get paid per week?
Show
your
method
1 mark
Helena is saving for a bike that costs £144.99
How much more does she need to save?
Show
your
method
1 mark
Page 12 of 16
13
2
Tom has 5 of a chocolate bar.
3
Samantha has 10 of the same chocolate bar.
Who has the most?
Explain your answer.
1 mark
14
Fill in the missing fractions.
of 56 = 56 ÷ 8
of 56 = 56 ÷ 7
of 56 = 56 ÷ 4 × 3
2 marks
Page 13 of 16
15
Laura has a bag of jelly beans.
3
She eats 8 of them.
She has 15 left.
How many jelly beans were in the bag?
Show
your
method
2 marks
END OF TEST
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