YEAR 8 REVIEW SHEET FOR EXAM 2 T1 2022

YEAR 8 REVIEW SHEET FOR EXAM 2, TERM 1,
Friday 18th November 2022
NAME: ________________________CLASS:_________
PARENT’S SIGNATURE:___________________________
TOPICS:
Review of adding and subtracting fractions
Chapter 3 (multiplying and dividing fractions)
Chapter 10 (linear sequences)
Review of solving equations with brackets
Chapter 2 (Probability)
FRACTIONS CHAPTER 3
Calculate showing all working out!
Review adding and subtracting fractions and converting mixed and improper
Change to mixed:
9
4
37
5
77
9
17
5
2
7
8
243
10
Change to improper:
8
4
5
7
3
8
3
5
9
10
7
11
Calculate:
1 7

6 9
1
7 1
15  2 
3
9 6
5 6

10 8
3 2

7 6
100  73
9
7
3
10
20
7 4

8 9
17
7
7
2
12
8
MULTIPLYING FRACTIONS
Calculate showing all working out!
16 
5
28
2 1
2 1
3 4
7 1 2
1 1 
8 3 5
3 4

5 7
1
2
13  2
3
5
7 8

12 21
8 5

15 24
3 8
1
3
3   2  4
4 25
2
14
5
2
16
4
7
2
6
12
5
DIVIDING FRACTIONS
Calculate showing all working out!
FRACTION PROBLEMS
Calculate showing all working out!
1)
2)
3)
4) Papers are piled on top of a desk and each one is 1
4
mm thick. If the entire pile of
30
2
papers is 3 mm high, how many sheets of paper are there on the desk?
5
1
3
5) A piece of string is 1 15 m long. If you use 4 of the string to wrap a gift, how many
metres of the string do you have left?
6) Joe is painting all the window frames on his parents´ house. On the first day, he
1
1
paints 3 of the frames and on the second day, he paints 3 of the remaining window
frames. On the third day, he paints the rest. If there are 72 window frames on the
house, how many did Joe paint on:
a) The second day?
b) The third day?
3
3
8
16
7) Betty has a 6 kg bag of peanuts. If she wants to prepare smaller bags containing
kg of peanuts each for her snack, how many snack bags can she make?
CHAPTER 10
Linear Sequences
(i) Write the next three terms of the following sequences:
(ii) Write down the nth term formula for each sequence.
(iii) Find T(20) the 20th term in each sequence.
a)i) 5, 8, 11, 14, ___, ___, ___
b)i) 2, 6, 10, 14, ___, ___, ___
ii)
ii)
iii)
iii)
c)i) 11, 7, 3, ___, ___, ___
d)i) -13, -10. -7, -4, ___, ___, ___
ii)
ii)
iii)
iii)
e) i) -1, -6,-11, -16, ___, ___, ___
f)i) 16, 12, 8, ,4 ___, ___, ___
ii)
ii)
iii)
iii)
REVISION OF ALGEBRA
1) Expand:
1)
Expand the following single brackets and simplify where necessary:
(a)
EXPAND:
(b)
(c)
-
(d) - 5x ( x – 4 )
2) Simplify:
a) 9x  12  x  13x  5
b) 6(7 y  3)  2(5  4 y )  9
c)
– 2 – 5 (3y – 4 )
Review of Equations
Solving Equations. SHOW ALL STEPS!
3) Solve:
a) 36  5  3x
c) 7 x  3  4
f) 12x  8  15  9x
b)
6x  7  13x  10  x  7 x  13  10x  2  15x
d) 8x  1  9x  4
g)  9 
e) 4( x  2)  3(2 x  1)  21
8  3x
4
4
h)  7   x  2
3
i)
x
 12
6
j)
5x
 45
9
k) 16 – 4 ( x + 3 ) = 2x
l) 5x – 2 (3x + 1 ) = - 6
Chapter 2 Probability
1) Nine counters numbered 1,2,3,4,5,6,7,8,9 are placed in a bag. One is taken out at random. What
is:
a) P( 5)
b) P(less than 5)
c) P(factor of 12)
d) P(multiple of 4)
e) P(greater than or equal to 4)
f)
P(prime chosen)
2) Two fair dice, one blue and one red, are thrown randomly and their score recorded.
a) Complete the possibility table for this experiment (complete below). Remember product
means x.
Red
product 1
2
1
Blue
2
3
4
5
6
b) Find:
i)
P(the product is an even number)
j)
P(the product is a prime number)
k) P(the product is a factor of 24)
3
4
5
6
l)
P(the product is more than 20)
m) P(the product is not 4)
n) P(the product is less than 36)
3) A red spinner with equal sections marked 1,1,2,3,3,4 and a blue spinner with equal sections
1,2,2,3,4 are both spun and their results added together. First complete the possibility
space:
SUM
1
1
2
2
3
1
2
2
3
4
Now find these probabilities:
a) P(sum is greater than 3)
b) P(sum is less than or equal to 7)
c) P(sum is greater than 4)
d) P(sum is a prime number)
3
3
4