Substitution into Expressions and Formulae - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

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KS3 · Algebra

KS3.M-A6 Substitution into Expressions and Formulae

AQA KS3.M-A6 · Calculators not allowed · about 60 minutes
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Evaluate 3n when n = 4.
(1)
2
Find the value of p + 5 when p = 7.
(1)
3
Evaluate 2a + 1 when a = 0.
(1)
4
Substitute x = 5 into x2 and give the value.
(1)
5
Evaluate 4b - 3 when b = 2.
(1)
6
Substitute t = 1/2 into 6t and give the answer as a fraction.
(1)
7
Evaluate 5x + 2 when x = -1.
(2)
8
Substitute a = -2 into 3a2 and give the result.
(2)
9
The formula for the area of a rectangle is A = l w. Find A when l = 7 and w = 3.
(2)
10
Use the formula P = 2(l + w) to find the perimeter of a rectangle with l = 4 and w = 2.
(2)
11
The formula for the cost of bus travel is C = 0.5n + 1, where n is the number of journeys. Work out C when n = 6.
(3)
12
A recipe uses 2c + 1 teaspoons of spice where c is the number of cups of flour. How many teaspoons are needed when c = 3?
(3)
13
Evaluate 2(x + 3) when x = 4. Show the substitution and give the final value.
(3)
14
Evaluate 3y - 2(x + 1) when x = 2 and y = 5. Show the steps.
(3)
15
A simple conversion formula is m = 100c, where c is speed in metres per second and m is speed in centimetres per second. Find m when c = 3.2.
(2)
16
The formula for the area of a triangle is A = 1/2 b h. Find A when b = 8 and h = 5.
(2)
17
A small theatre charges C = 6p + 2 for a ticket, where p is the number of people in a group. A teacher is buying tickets for 4 groups of 3 pupils each and 1 group of 5 pupils. Calculate the total cost.
(4)
18
Stretch question. The cooling formula for a cup of tea is T = 80 - 2n, where T is temperature in degrees Celsius after n minutes. A class drinks tea in pairs. Calculate the total temperature sum for 3 pairs if they drink after 5, 7 and 9 minutes. Show all substitution and addition steps.
(6)
Mark scheme · KS3.M-A6 Substitution into Expressions and Formulae

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18