Algebra
Expand 6(x + 2)
6x + 12
Express 5:1m in cm
5.1 x 100 = 510 cm
List the sample space of a die is rolled.
1,2,3,4,5,6
what is the average of 2, 6, and 7?
average = 2 + 6 + 7
= 15/3
= 5
Define co-efficient and give an example.
Co-efficient is the number in front of a pro-numeral.
eg 2x = 2 is the coefficient
Expand 3(2x + 1)
6x + 3
Express 4125mm in m
4125 / 1000 = 4.125m
Rae added half of 24 to twice 13. What number did Rae get?
12, 26, 38, 50
38
Find the mode
16, 19, 20, 19, 17, 18
19
The perimeter of a rectangle is 28cm. What is the length if the width is 3cm?
perimeter = 2l + 2w
28 = 2L+ 2(3)
28 = 2L + 6
28 - 6 = 2L
22 / 2 = L ANSWE IS 11cm
Express with the single index
(86)3
818
Find the sum of 16cm + 2.3m + 415mm
287.5cm or 2.875m or 2875mm
Joe bought a pair of jeans which cost $65. He paid with a $100 note. How much change will he receive?
Change = 100 - 65
Joe receives $35 change.
6,15,9,12,18,14
13
Square tiles 150 mm x 150mm will cover the wall between the vanity unit and the mirror in the bathroom. If the space to be covered is 2.5m by 20cm, could you find the number of tiles needed?
(if a tile is to be cut, it is counted as a whole tile)
tiles = 0.15 x 0.15 = 0.0225
space to be covered = 2.5 x 0.2 = 0.5
0.5 / 0.0225 = 22.222
23 tiles
y + 5 = 16
which one of the following represents the solution to the equation?
y = 8, y = 96, y = 11, y = 22
y = 11
The area of a rectangle is 375cm2 If the length is 30cm, what is the width?
A = Length x Width
375 = 30cm x ?
375/30 = ?
? = 12.5cm
Brodie is 11 years old. His grandmother is 59 years older than him. How old is Brodie's grandmother?
48, 60, 70, 80
Age = 11 + 59
= 70
Calculate the mean
44,18,26,31,45,28
32
A swimming pool shaped like a rectangle is 4.5m wide and 9m long. It has an even depth of 1.8m. What is its capacity?
1m3 = kL
Pool = l x w x h
= 4.5m x 9m x 1.8m
= 72.9m3 = capacity 1m3 = kL
Answer = 72.9kL
Alex and his brother share $45 in the ratio 1: 8
which one of the following is the amount of money that Alex gets?
$8, $7, $5, $6
$5
Find the volume of a box 30cm by 40cm by 20cm.
volume = 30cm x 40cm x 20cm
volume = 24000 cm3
At the circus were 2 elephants and 3 monkeys. Max counted the total number of legs. What was Max's total?
5, 12, 11, 14
Elephant = 4 legs
monkey = 2 legs
Total = 2 x 4 + 3 x 2
= 8 + 6
= 14
After six innings in cricket, David's average was 28. After eight innings, his average was 35. The combined total in his final two innings was.
70, 98, 112, 168
8 x 35 = 280
6 x 28 = 168
280 - 168 = 112
How many litres of water are collected if a roof has an area of 184m2 and 20mm of rain falls?
184 x 20 = 3680 L