Mental Arithmetic Questions Worksheets - Level 6 Page 13
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21Formula:
a
Area = (a+b) x h
2
c
h
Wheelchair
Wedges
b
Wyn and Jay are using their wheelchairs to measure distances.
You need to learn this formula
This door wedge is the shape of a prism.
The circumference (C) is
the distance the wheel
moves in one revolution
NOT TO
Formula:
2.5cm
SCALE
C = π x d
2.5cm
The shaded face
(π = 3.142)
is called the
3.5cm
You need to learn this
cross-section
.
6.0cm
formula
(a)
The shaded face of the door wedge is a trapezium.
(a) The large wheel on Wyn’s wheelchair has a diameter of
60cm. Wyn pushes the wheel round exactly once.
Calculate the area of the shaded face.
Calculate how far Wyn has moved. Show your working.
Show your working.
π x d
C =
= 3.142 x 60
(2.5 + 6.0) x 2.5
2
= 188.52
= 8.5 x 2.5
2
...................188.52 ............ cm
= 4.25 x 2.5 = 10.625
10.625.................. cm²
(b)
The large wheel on Jay’s wheelchair has a diameter of
(b)
Calculate the volume of the door wedge.
52cm. Jay moves her wheelchair forward 950cm.
You need to work out
Show your working.
Formula:
C =
π x d = 3.142 x 52 = 163.28
the circumference first.
Volume = area of Cross-section x depth
10.625 x 3.5 = 37.1875
You need to learn this formula
Calculate how many times the large wheel goes round.
Show your working.
Find how many times the
circumference fits into
950 ÷ 163.28 = 5.8182264
37.1875 or 37 or 37.2 or 37.19cm³
the distance forward.
Any would be
acceptable
or. 5.8 or 5.82 or 6............. times
Any would be
acceptable
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