Pinxton Kirkstead Junior School
L6 Booster Homework Tasks.
Week 4
You may use calculators this week
Q1.Every second, 300cm3 of water comes out of a tap into a cuboid tank.
Not actual size
The base of the tank is 40cm by 40cm.
The height is 12cm.
How many seconds does it take to fill the tank?
2 marks
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Pinxton Kirkstead Junior School
Q2.
A cuboid has a square base.
It is twice as tall as it is wide.
Its volume is 250 cubic centimetres.
Calculate the width of the cuboid.
2 marks
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Pinxton Kirkstead Junior School
Q3.
Cleo has 24 centimetre cubes.
She uses all 24 cubes to make a cuboidwith
dimensions 6 cm, 2 cm and 2 cm.
Write the dimensions of a different cuboid she can make using all 24 cubes.
_______________ cm, _______________ cm and _______________ cm
1 mark
Jon has 20 centimetre cubes.
He wants to make a cube with edges that are 3 cm long.
How many more centimetre cubes does he need?
more
1 mark
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Pinxton Kirkstead Junior School
Q4.
Making cuboids
Terry has 24 centimetre cubes.
He uses them to make a cuboid that is one cube high.
Tina has 24 centimetre cubes.
She uses them to make a solid cuboid that is two cubes high.
Complete the table to show what the dimensions of her cuboid might be.
1 mark
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Pinxton Kirkstead Junior School
Q5.
This cube has a volume of 64 cubic centimetres.
Calculate the height of the cube.
cm
1 mark
These two cubes are not drawn to scale.
1 mark
The ratio of the volumes of the two cubes is 2:3
Calculate the volume of the larger cube.
1 markPage
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Pinxton Kirkstead Junior School
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Pinxton Kirkstead Junior School
M1.64
! For 2m, condone 63.99(…) (some calculator
displays will show this as their final answer)
2
or
Shows the value 19 200 (volume of the tank)
OR
Shows or implies a complete correct method, eg:
•
(40 × 40 × 12) ÷ 300 = 58 (error)
! For 1m, condone 63.9 as evidence of an
appropriate method (calculator display
incorrectly rounded)
1
[2]
M2.
Award TWO marks for the correct answer of 5cm
If the answer is incorrect award ONE mark for evidence of an
appropriate method, eg
2n × n × n = 250
so
n × n × n = 125
The calculation need not be completed for the award of the
mark, but n × n × n = 125 OR n3 = 125 must be reached.
Up to 2
[2]
M3.
(a)
•
Gives three integers other than 2, 2, 6 (in any order) whose product is 24, eg:
1, 1, 24
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Pinxton Kirkstead Junior School
•
1, 24, 1
•
1, 2, 12
•
1, 3, 8
•
1, 4, 6
•
2, 3, 4
! Non-integer(s) used
As this shows understanding of volume, condone provided the
three values given have a product of 24
eg, accept
•
1.5, 2, 8
1
(b)
7
1
[2]
M4.
Gives two numbers that multiply together to make 12, eg
•
12, 1
•
4, 3
•
2, 6
[1]
M5.
(a)
4
1
(b)
Award TWO marks for the correct answer of 96.
If the answer is incorrect, award ONE mark for
evidence of an appropriate method, eg
64 ÷ 2 × 3
Calculation need not be completed for the award of the mark.
Up to 2
[3]
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Pinxton Kirkstead Junior School
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