Substitution Into Formulae
Name :
Class :
Date :
Mark :
/10
1) Find the value of the formula using the numbers given
a) C = 11(z + b)
b) D = 7(2b + 6a)
%
[3]
when z = 8 and b = 8
when a = −2 and b = −3
c) P = 5(3c + 5z + a)
when c = 4, z = −3 and a = −4
2) The circumference of a circle can be found using the formula
[1]
C = 2πr or C = πd
Find the circumference of a circle with diameter 12 cm. Leave your answer to one decimal
place.
3) The area of the sector of a circle can be found using the formula
[1]
x
A = 360 × πr 2
Find the area of the sector of a circle with radius 7 cm and angle, x = °. Leave your answer
to one decimal place.
4) The formula to find the displacement of a moving object is given by the formula s =
[1]
1
ut + 2 at 2 where s = displacement, u = initial velocity, a = acceleration and t = time.
Find the displacement if u = 7 m/s, a = 4 m/ s2 and t = 9 s.
5) The surface area of a cuboid can be found using the formula A = 2lh + 2wh + 2lw.
Find the surface area of a cuboid with length 7 cm, width 10 cm, and height 5 cm.
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[1]
1
6) The volume of a cone can be found using the formula V = 3 πr 2 h. Find the volume of a [1]
cone with radius 6 centimetres and height 5 centimetres. Round your answer to nearest
whole number.
5
7) The formula to convert Fahrenheit to Celsius is C = 9 (F − 32). Find the temperature in [1]
Celsius if the Fahrenheit reading is 25o F. Round your answer to nearest whole number.
8) The compound interest of a bank account can be found using the formula A =
R
P(1 + 100)n . Find the money made made, A, when P = 138, R = 5 and n = 7. Round
your answer to two decimal places where necessary.
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[1]
Solutions for the assessment Substitution Into Formulae
1) a) 176
c) -35
b) -126
2) 37.7 cm
3) 25.2 cm2
4) 225 m
5) 310 cm2
6) 188 cm3
7) −4o C
8) 194.18
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