Fractions
Convert 47/8 to a mixed fraction
5 7/8
8 x 5 = 40 with 7 left over
Which of the following is the percentage equivalent of , to the nearest per cent?
A) 27%
B) 29%
C) 26%
D) 30%
E) 28%
B) 29%
Remember to round! 2/7 = 0.285714286
0.285713286 x 100 = 28.57 which is closest to 29%
Bella has $10. She buys 5 sketchbooks from a shop. Each sketchbook costs $1.10.
How much change should Bella get?
A) $4.50
B) $5
C) $5.50
D) $8.90
E) $10
A) 4.50
$1.10 x 5 = $5.50
$10 - $5.50 = $4.50 change
A) 45
B) 90
C) 120
D) 180
E) 360
D) 180
How many groups of 4 can you make with 100 items?
25
100/4 = 25
Which of the following fractions are not equivalent to 12/8?
A) 6/4
B) 3/2
C) 1 6/12
D) 1 2/3
E) 18/12
D) 1 2/3
Which decimal has the smallest value?
A) 3.0901
B) 3.019
C) 3.0091
D) 3.0109
E) 3.091
C) 3.0091
In Toronto it was -16 degrees one day. On the same day it was 34 degrees in Cairns.
What is the difference between the temperatures in these two cities?
50 degrees
16 degrees to get to 0 degrees, plus, another 34 degrees
16 + 24 = 50 degrees difference
Complementary angles add to what?
90 degrees
Petrol costs 179.5 cents per litre. How much does 10 litres of petrol cost?
$17.95
179.5/100 x 10 = $17.95
Find 32% of 125
Answer is 40
32/100 x 125 = 40
Which number is half way between 0.1 and 0.13?
A) 0.07
B) 0.12
C) 0.7
D) 0.115
E) 0.125
D) 0.115
Add numbers together and divide by 2.
0.1 + 0.13 = 0.23
0.23/2 = 0.115
If a bag of 30 sweets weights 20g, how many sweets would weigh 1kg
A) 500
B) 726
C) 1000
D) 2000
E) 1500
E) 1500
There are 5 lots of 20g in 100g.
30 sweets x 5 = 150 sweets.
To get to 1kg from 100g we need to multiply by 10.
150 x 10 = 1500 sweets.
A quadrilateral has two angles which are 56 degrees and another which is 113 degrees, which is the size of the fourth angle?
A) 150 degrees
B) 76 degrees
C) 135 degrees
D) 176 degrees
E) 45 degrees
C) 135 degrees
Angles in a quadrilateral (4 sided shape) add to 360 degrees.
360 - 56 - 56 - 113 = 135 degrees
Which of the following is NOT a factor of 90?
A) 45
B) 10
C) 8
D) 9
E) 3
C) 8
90/8 gives 11.25 which is not a whole number.
Emma went shopping and purchased 30 items.
1/2 of the items were fruit and 1/3 of the items were confectionary.
How many other items did Emma purcahse?
A) 10
B) 8
C) 5
D) 4
e) 3
C) 5
1/2 of 30 is 15
1/3 of 30 is 10
15 + 10 = 25, meaning Emma has 5 other items.
The new price when an item marked at $45 is marked up by 14% is:
A) $51.40
B) $53.70
C) $51.30
D) $53.60
E) $52.50
C) $51.30
$45 x (1 + 14/100) = $51.30
In 2018, the population of Beijing was approximately 22 million people.
In 2018, the population of Whyalla was approximately 0.022 million people.
How many times as large as the population of Whyalla was the population of Beijing?
A) 10 times
B) 100 times
C) 1 000times
D) 1 000 000 times
C) 1 000times
to get from 0.022 to 22 we move the decimal point 3 times to the right, indicating 1 000 times as large
Any angle larger than 180 degrees is called a:
A) Acute Angle
B) Reflex Angle
C) Obtuse Angle
D) Right Angle
E) Full Revolution
B) Reflex angle
A the canteen, a bottle of juice and a sandwich each cost $3. If a juice is represented by x, and a sandwich by y, select the correct expression the canteen manager could use to determine the correct amount of money collected daily from the sales of sandwiches and juice.
A) 6xy
B) 3x + 3y
C) 5xy
D) 6(x + y)
E) 3x + y
B) 3x + 3y
What is the maximum number of whole treats Jim can make?
A) 7
B) 8
C) 10
D) 12
E) 13
A) 7
5.5/(3/4) = 7.3333 meaning 7 whole treats (he doesn't have enough for an 8th treat)
or count up in lots of 3/4 and count how many lots ...eg) 3/4, 1 1/2, 2 1/4, 3, 3 3/4, 4 1/2, 5
There are 100 grams of chocolate in a 500 gram packet of trail mix.
What percentage of trail mix is made up of chocolate?
A) 0.05%
B) 0.2%
C) 2%
D) 20%
E) 50%
d) 20%
100/500 = 1/5 = 20% or (100/500) X 100in your calculator gives 20%
A train is travelling 1 kilometer in 1 minute and 20 seconds.
At this rate, how many kilometers will the train travel in 1 hour?
A) 40km
B) 45km
C) 48 km
D) 72km
E) 75km
B) 45 km
1 minute and 20 seconds is 1 1/3 or 4/3 minutes
60/(4/3) = 45km
If two angles are supplementary, and one angle 75 degrees, then the other angle must be:
A) 15 degrees
B) 75 degrees
C) 80 degrees
D) 100 degrees
E) 105 degrees
E) 105 degrees
Supplementary angles add to 180 degrees
75 + 105 = 180
If the perimeter of a square is 16cm, then what will the area be?
A) 4cm
B) 8cm
C) 10cm
D) 12cm
E) 16cm
E) 16cm
All sides of a square are the same length, so 16/4 = 4cm.
Area = length x width
Area = 4 x 4 = 16cm