puma
M
A
TE
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IA
L
Progress in
Understanding
Mathematics AUTUMN
Assessment
Girl
Test date
PL
Boy
E
name
Date of birth
/
/
Category
Number
/
Chronological age
years
/7
/17
/10
Measures
/7
Geometry
/5
Statistics
/4
SA
Fractions
Total
/50
Problem solving
SS
months
Marks
M
Operations
/
6
/13
Maths age
PUMA scale
Copyright © 2014 Hodder & Stoughton Ltd. Photocopying prohibited.
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1
Write the missing numbers in the two boxes.
852
+100
L
952
3 _2 3 _4 4 4 _4 4 _2 1
3
1
1
R
5 5 _2
1
frac
PL
3
num
Write the missing numbers in this sequence:
E
2
M
A
TE
+100
IA
+100
Ben, Joe and Mia are making cakes for the school cake stall.
Ben made 18 cakes.
M
Joe made 36 cakes.
Mia made 24 cakes.
SA
(a) They promised to make 100 cakes altogether.
How many more cakes do they need to make?
(b) At the sale there were 100 cakes.
9
of the cakes were sold.
10
How many cakes were sold?
cakes
ops
PS
_
cakes
frac
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page total
Copyright © 2014 Hodder & Stoughton Ltd. Photocopying prohibited.
2
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Tick the 3 shapes which have one or more right angles.
R
Chris has these coins:
geom
E
M
A
TE
5
IA
L
4
£
meas
What is the reading on the speedometer?
SA
6
M
PL
How much more money does he need
to make exactly £10?
km/h
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meas
page total
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3
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7
906 – 87 =
ops
Here is a number machine.
L
8
15 +5
×3
27 +5
M
A
×3
+5
ops
50
ops
PS
Draw an arrow ( ) to show the position for 2500
PL
E
9
20
R
×3
TE
5 IA
Write the missing numbers in the four boxes.
10 000
M
0
SA
num
10
Tick all the cards that show more than
_3
40%
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2
_3
0.52
4
_1
0.39
8
55%
frac
page total
Copyright © 2014 Hodder & Stoughton Ltd. Photocopying prohibited.
4
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Write the missing numbers to complete the table.
number of
edges
number of
faces
cube
12
6
triangular
prism
9
square-based
pyramid
geom
R
IA
5
geom
A model plane weighs 160 grams,
rounded to the nearest ten grams.
TE
12
number of
vertices
L
11
Tick all the amounts the plane could weigh.
num
Complete the multiplication grid by writing the missing numbers in
the eight boxes.
E
13
M
A
154g 164g 150g 159g 166g
12
×
9
7
14
99
ops
77
6
SA
M
PL
8
ops
The rod is 60cm long.
Not drawn to scale
x cm
26cm
12cm
60cm
cm
Calculate the value of x.
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ops
page total
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5
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The chart shows the average heights of young boys and girls.
TE
R
IA
L
15
M
A
(a)What is the average height of a girl
cm
who is 24 months old?
stat
E
(b) Rosa is average height for her age.
She is exactly one metre tall.
months
How old is she?
M
PL
SA
(c)About how much taller is a 3 year old
boy than a 3 year old girl?
(d)Use the graph to work out how much
boys grow between their 2nd and
4th birthdays.
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cm
cm
stat
PS
stat
PS
stat
PS
page total
Copyright © 2014 Hodder & Stoughton Ltd. Photocopying prohibited.
6
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17
5692 + 6328 =
ops
Ben saves £2.25 a week.
L
16
How many weeks will it take him to save £18?
18
ops
R
IA
weeks
(a) Joe has 3 red goldfish and 7 black goldfish.
TE
What fraction of his goldfish are red?
frac
M
A
(b)He is given 1 more red goldfish and
1 more black goldfish.
What fraction of his goldfish are red now?
frac
Write the fraction in its lowest terms.
E
Complete the table.
PL
19
SA
M
kilograms
grams
5kg
5000g
2.4kg
g
meas
_1 kg
g
2 meas
kg
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12 500g
page total
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7
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20
The cost to hold a party is £80 plus £4 per person.
(a)How much does it cost if 12 people
come to the party?
£
ops
PS
ops
PS
R
Circle one number from each box which together add to make
one million.
TE
21
people
How many people came to that party?
IA
L
(b)Another party cost £200
400
600
4000
6000
M
A
40 000
60 000
400 000
600 000
4 000 000
6 000 000
E
num
PL
SA
M
22
Who got the best score in his mathematics test?
name
score
Joe
30 out of 60
Ben
40%
Hari
7 out of 10
Nathan
65%
15
_
Tom
20
frac
PS
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8
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23
2024 ÷ 8 =
Mexican Joe’s shop sells hats in five different sizes.
1
_1 6 _3 6 _1 6 _5
6 _2 6 8
8
4
4
TE
24
R
IA
L
ops
M
A
Put these hat sizes in order, starting with the smallest size.
(a)
26 005 = 23 005 +
num
M
25
PL
E
frac
36 080 =
+ 36 020
SA
(b)
26
num
Write all of the common factors of 12 and 30
ops
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9
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Not drawn to scale
27
15cm
9cm
12cm
(a) What is the area of this right-angled triangle?
meas
IA
L
cm2
R
(b) Two of the triangles are joined together to make a new shape.
M
A
TE
Not drawn to scale
cm
meas
Put a tick in each correct column.
M
28
PL
E
What is the perimeter of the new shape?
Always
Sometimes
Never
SA
Multiples of 7 are
even…
ops
PS
Prime numbers have
exactly two factors…
ops
PS
Square numbers have an
odd number of factors…
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10
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29
Write the correct number in each box. Choose from:
10 100 1000 0.59 5.9 59 590 5900
5.9 × 100 =
L
= 0.59
frac
IA
590 ÷
frac
30
TE
R
× 10 = 5.9
This is the net of a square-based pyramid.
When the net is folded, one other vertex
meets the vertices shown with dots.
M
A
Draw a dot on the other vertex.
31
PL
E
geom
PS
20
frac
SA
M
Write 0.8 as a fraction, with denominator 20
32
Work out the perimeter of a square with area 49cm2
cm
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meas
PS
page total
Copyright © 2014 Hodder & Stoughton Ltd. Photocopying prohibited.
11
28/08/14 9:25 PM
33
A, B, C and D are the vertices of a parallelogram.
Write the coordinates of the missing vertex, D.
10
8
C (10, 6)
L
6
IA
A (4, 5)
2
B (6, 1)
0
(a)
4
6
8
10
12
50 × 1526 =
geom
PS
ops
M
A
34
2
TE
0
D ( , )
R
4
Use your answer to part (a) to work out:
ops
122 704 is a 6-digit number, with digits that add up to 16
Write the greatest 6-digit number,
PL
35
58 × 1526 =
E
(b)
num
PS
page total
Total
/50
SA
M
with digits that add up to 40
Copyright © 2014 Hodder and Stoughton Ltd; photocopying is not allowed.
Progress in Understanding Mathematics Assessment developed by Colin McCarty and
Caroline Cooke for Hodder Education. Illustrations by Jane Swift.
All rights reserved. No part of this publication may be reproduced or transmitted in any form or
by any means, electronic or mechanical, without permission in writing from the publisher. This
publication is excluded from the reprographic licensing scheme administered by the Copyright
Licensing Agency Ltd, and may not be photocopied.
Printed in Great Britain for Hodder Education, part of Hachette UK, 338 Euston Road, London
NW1 3BH.
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