Download Sequences

Sequences
For each of these sequences, complete the next 4 numbers in the sequence. The sequences get harder
as you go through the questions. Copy each of these sequences into your book.
a)
7, 14, 21, 28, ………
b)
75, 65, 55, 45, ………
c)
13, 20, 27, 34, ………
d)
21, 15, 9, 4, ………
e)
-17, -5, 7, 19, ………
f)
1, 2, 4, 8, ………
g)
1, 4, 9, 16, ………
h)
100, 87, 74, 61, ………
i)
64, 32, 16, 8, ………
In these next sequences, one of the numbers in the sequence is missing. Copy the sequence and fill in
the gap.
a)
36, _, 60, 72
b)
80, _, _, 35, 20
c)
-9, _, _, _, 19
Now see if you can make up 5 of your own sequences. For each
sequence write in words how you get to the next number in the
sequence – for example ‘Add 5’.
Challenge!
Substitution
Substitute the values of x and y and z into each of these expressions.
a)
x+y
x=2, y=3
b)
3x – y
x=5, y=10
c)
4x + 7y
x=4, y=6
d)
x – 6y
x=3, y=2
e)
3(x+y)
x=3, y=-5
f)
3x + 2y + 5z
x=12, y=1, z = 3
In the next 6 questions, you are given the answer for the expressions. Try and work out what the value of
x is :
a)
3x = 18
b)
5x = 60
c)
x + 7 = 12
d)
x–7=5
e)
12 + x = 24
f)
5x + 2 = 17
The next 3 questions are harder. Try and give them a go :
a)
3(x + 2) = 15
Challenge!
b)
15 – 2x = 3
c)
4x + 4 = 20
Design in your books a wordsearch which includes these key words
from the topic :
Algebra, formula, value, number, substitute, negative, sequence.
Think of any other related words you can use.