The Herts for Learning 2021
Year 5 Mathematics Challenge
The Grand Final
Question and
Answer Pack
• 3 ‘live’ rounds of 6 questions
• 60 marks for each round
• + memory round (60 marks)
• + 2 problems (‘Criss Cross’
and ‘Four Dots’ = 60 marks)
• Total of 300 marks
Round 1
General
Mathematics
Questions
Round 1
Question 1
The same digit is hidden by the paint
splodges.
What is the digit?
1272–706=566
Round 1
Question 1
The same digit is hidden by the paint
splodges.
What is the digit?
1272–706=566
Question 2
Round 1
Here is a pyramid
made from
coloured sticks.
If you were
looking down on
this pyramid,
which image
would you see?
A.
B.
C.
D.
Question 2
Round 1
Here is a pyramid
made from
coloured sticks.
If you were
looking down on
this pyramid,
which image
would you see?
A.
B.
C.
D.
Round 1
Question 3
Here are the first 5 numbers in a sequence.
The difference between each number is the
same.
1.15
1.32
1.49
1.66
1.83 …
What is the 15th ‘number’ in the
sequence?
Round 1
1.15
6th = 2.00
7th = 2.17
8th = 2.34
9th = 2.51
10th = 2.68
11th = 2.85
12th = 3.02
13th = 3.19
14th = 3.36
Question 3
1.32
15th = 3.53
1.49
1.66
1.83
+ 1.7
(10 x 0.17)
1.83
3.53
5th term
15th term
Round 1
Question 4
Order these calculations from smallest to
largest answer e.g. A B C D
a) 2.5 x 3 x 6 x 9 =
b) 3168 ÷ 8 =
c) 823 – 112.6 – 312.7 =
d) 316.4 + 17.8 + 42.9 + 25.6 =
Question 4
Round 1
Order these calculations from smallest to
largest answer e.g. A B C D
a) 2.5 x 3 x 6 x 9 = 405
b) 3168 ÷ 8 = 396
BCDA
c) 823 – 112.6 – 312.7 = 397.7
d) 316.4 + 17.8 + 42.9 + 25.6 = 402.7
Question 5
Round 1
The Manchester to London train takes
2 hours and 27 minutes.
What time does Train 3 leave Manchester?
?
Round 1
Question 5
The Manchester to London train takes
2 hours and 27 minutes.
What time does Train 3 leave Manchester?
11.12
Question 6
Round 1
What is the mass of one orange?
=
=
200g
50g
=
=
1.2kg
Question 6
Round 1
What is the mass of one orange?
150g
700g
300g
500g
200g
=
=
150g
500g
=
500g
50g
=
1.2kg
Round 2
Estimation
Round
Round 2
Question 1
Estimate the total monetary value?
Question 1
Round 2
5p
5p
5p
5p
5p 5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p 5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p 5p
5p
5p
5p
5p 5p
5p 5p
5p
5p
5p 5p
5p 5p
5p
5p
5p
5p
5p
5p
5p 5p
5p
5p 5p
5p
5p
5p
5p 5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
5p
Question 1
Round 2
Estimate the total
monetary value?
Exact answer = £6.15
123, 5p coins
Marks
Min.
value
Max.
value
10
8
6
4
2
£6
£5.70
£5.40
£5.10
£4.80
£6.30
£6.60
£6.90
£7.20
£7.50
Round 2
Question 2
This is a flight path of an aeroplane.
At each point, the plane turns.
To the nearest multiple of 5°, estimate
the total size of the turns.
Question 2
Round 2
This is a flight path of an
aeroplane.
At each point, the plane turns.
To the nearest multiple of 5°,
estimate the total size of the
turns.
118°
95°
67°
83°
332°
Exact answer = 695°
Marks
Min.
value
Max.
value
10
8
6
4
2
670
645
620
595
570
720
745
770
795
820
Round 2
To the nearest minute,
estimate the amount of
time that has passed
since you first saw this
image in Round 1.
Question 3
Round 2
To the nearest minute,
estimate the amount of
time that has passed
since you first saw this
image in Round 1.
Exact answer =
20 minutes
Question 3
Round 2
Question 4
Estimate the total capacity of all
9 bottles.
Question 4
Round 2
1.5
litres
Question 4
Round 2
Estimate the total
capacity of all 9 bottles.
0.5
1
1.5
2
2
2
1.5
1
0.5
Exact answer = 12 litres
Marks
Min.
value
Max.
value
10
8
6
4
2
11.75 l
11.5 l
11.25 l
11 l
10.75 l
12.25 l
12.5 l
12.75 l
13 l
13.55 l
Round 2
Question 5
The average height of an adult man is 1.8 metres.
In metres, estimate how long this dinosaur was?
1.8m
Drawn to scale
Round 2
Exact answer = 13m
(7.2 x persons)
Marks
Min.
value
Max.
value
10
13.25
12.75
8
13.5
12.5
6
13.75
12.25
4
14
12
2
14.25
11.75
Question 5
1.8m
Round 2
Question 6
What number is represented by the
‘?’ on this number line?
Round 2
Question 6
Round 2
Question 6
Marks
10
8
6
15
𝟑
𝟒
Min.
value
𝟏
15 𝟐
𝟏
15 𝟒
Max.
value
15
16 𝟐
4
14
2
14
𝟑
𝟒
𝟏
𝟐
16
𝟏
16 𝟒
𝟏
16
𝟑
𝟒
17
Round 3
Memory
Round
Round 4
General
Mathematics
Questions
Round 4
N
Question 1
Rohan is facing East.
He turns anticlockwise
through 630°.
W
E
S
In what direction is he facing now?
A
North
B
East
C
South
D
West
Round 4
N
Question 1
Rohan is facing East.
He turns anticlockwise
through 630°.
W
E
S
In what direction is he facing now?
A
North
B
East
C
South
D
West
Round 4
Question 2
There are three prime numbers which
•
have two digits; and
•
are one more than a multiple of 7
What are these three prime
numbers?
Round 4
Question 2
There are three prime numbers which
•
have two digits; and
•
are one more than a multiple of 7
What are these three prime
numbers?
29, 43, 71
Round 4
Question 3
Amari and Bev are going on a day out.
Both take some money with them.
3
Amari takes
as much as Bev.
4
Altogether, they take £84.
How much money does Amari take
with him?
Round 4
Question 3
Amari and Bev are going on a day out.
Both take some money with them.
3
Amari takes
as much as Bev.
4
Altogether, they take £84.
How much money does Amari take
with him? £36
Round 4
Question 4
Three squares are
joined together to
make an L-shape.
The perimeter of the
L-shape is 48 cm.
What is the area of the L-shape,
in cm²?
Round 4
Question 4
6cm
Three squares are
joined together to
make an L-shape.
The perimeter of the
L-shape is 48 cm.
6cm
36cm² 6cm
6cm
6cm
36cm²
6cm
36cm² 6cm
6cm
What is the area of the L-shape,
in cm²?
108 cm²
Round 4
Question 5
Jakub has a large piece of paper.
The piece of paper is 0.3 mm thick.
Jakub folds the piece of paper in half.
The folded piece of paper is now 0.6 mm thick.
He folds it in half again, then again, and so on.
Altogether, he folds it 5 times.
What is the total thickness of his folded
piece of paper, in mm?
Round 4
Question 5
Jakub has a large piece of paper.
The piece of paper is 0.3 mm
thick.
Jakub folds the piece of paper in half.
The folded piece of paper is now 0.6
mm thick.
He folds it in half again, then again,
and so on.
Altogether, he folds it 5 times.
= 0.6mm…
2nd fold = 1.2mm…
3rd fold = 2.4mm…
4th fold = 4.8mm…
5th fold = 9.6mm
1st fold
What is the total thickness of his folded piece of paper, in mm?
9.6mm
Round 4
Introduction to Question 6
In a number pyramid, each number is the sum
of the two boxes immediately beneath it.
Example:
25
11
7
6
14
4
1
10
3
7
Round 4
Question 6
Reminder: how
number pyramids
work
9
6
2
Work out the number in the
green box.
Round 4
Question 6
Reminder: how
number pyramids
work
Various
combinations of
numbers.
But green box
is always 35
35
9
6
2
Work out the number in the
green box.