Number Sense
Data and Probability
Spatial Sense
Patterning/Algebra
Financial Literacy
100
527 910 in expanded notation is...
(5x100,000) + (2 x 10,000) + (7 x 1,000) + (9 x 100) + (1 x 10)
100
A school team measured the length of their feet in centimetres and found them to be:
- 25.5, 32.5, 25.5, 40.6, 34.7, 28.3, 15.3, 25.0, 30.0, 27.4, 31.5, 18.8
What is the range?
range: 25.3 cm
100
Using the base and height:
What is the area?
A =
(4x7) / 2 = 14 cm2
100
Here is a pattern:
How many squares will there be in frame 6?
Pattern rule:
Input x 4 + 1 = Output
= (6 x 4) + 1
25
Frame 6 will have 25 squares
100
What is borrowing?
Receiving money with an agreement to repay it in future, usually with interest charged.
200
The equivalent decimal to
5/7
is...
0.714 (5 divide 7 = 0.714)
200
Here are the average temperatures for all the months in Hong Kong.
15.3, 25.0, 25.5 , 25.5, 40.6, 34.7, 28.3 , 32.5, 31.5, 30.0, 27.4 , 18.8.
What is the mean?
- 15.3 + 18.8 + 25.0 + 25.5 + 25.5+ 27.4 + 28.3 + 30.0 + 31.5 + 32.5 + 34.7 + 40.6 = 335.1
- 335.1 ÷ 12 = 27.9 or 28 (rounded to the nearest one)
200
What is the area of this shape?
Triangle 1:
(3 x 4) / 2 = 6 units2
Rectangle:
3 x 4 = 12 units2
Triangle 2:
1 x 4 = 4 units2
Totale area = 4 + 12 + 6 = 22 units2
200
Look at this growing pattern:
What is position number 9
T = P x 3
T = 9 x 3
T = 27
200
What is interest rate?
The proportion of an amount loaned that a lender charges the borrower as interest, usually an annual percentage of the outstanding balance. For example, if a lender charges a one-year loan of $100 with a 10% interest rate, the borrower would owe $110 to the lender after 12 months.
300
1/3 + 5/9 =
8/9
300
What is the theoretical probability of rolling a 2, on a number cube or dice, with the numbers 1 to 6.
1 in 6 chances.
300
What is the surface area of this rectangular prism?
(6 x 7 x 2) + (12 x 6 x 2) + (7 x 12 x 2) =
84 + 144 + 168 = 396 mm2
300
35h represents the cost of 35 tiles.
If the cost of each tile (h) is $0.50.
What is the cost of 35 tiles?
h = $0.50
Expression: 35h
Substitute h for $0.50
35 x $0.50 = $17.50
It will cost $17.50
300
Describe the difference between a debit card and a credit card.
Debit card uses the available bank balance you have, while credit card borrows money you do not have at the moment, to pay for things you want.
400
The prime factors for 56 are...
2 × 2 × 2 × 7 
400
Why is this graph misleading?
It is because the scale is small, so the results are exaggerated.
A scale that is larger and smaller spaces between the numbers will help.
400
What is the surface area of this pyramid?
Base: 3 x 3 = 9
Triangle:
(3 x 11) / 2 = 16.5
16.5 x 4 = 66
SA = 66 + 9 = 75 cm2
400
Solve for x:
2x - 28 = 136
2x - 28 = 136
2x - 28 + 28 = 136 + 28
2x = 164
2x / 2 = 164 / 2
x = 82
400
Mathugo purchased a computer that cost $899 plus taxes. If taxes are 13%, how much does Mathugo pay?
$1015.87
500
Using a ratio table to scale a recipe for strawberry jam up or down:
Mr. Hwee has 35 cups of sugar, what is the equivalent ratio in cups of fruit?
70 cups of fruit - it is double the amount of sugar.
500
Find the median for:
25.5, 32.5, 25.5, 40.6, 34.7, 28.3, 15.3, 25.0, 30.0, 27.4, 31.5, 18.8
Median = (27.3 + 28.3) ÷ 2 = 27.8
Organize the data from least to greatest:
- 15.3, 18.8, 25.0, 25.5, 25.5, 27.3, 28.3, 30.0, 31.5, 32.5, 34.8, 40.6
500
Here is a diagram of a kitchen counter scaled down:
What area of the room is covered by the kitchen counter?
A = 8 x 9
= 72 cm2
Counter:
A = (2 x 4) + (2 x 2)
A = 8 + 4
A = 12 cm2
Area of room - counter =
72 - 12 = 60 cm2
500
The variable is c. What is the inequality or equation for the above number line?
c is greater than or equal to 3.
500
Aarthi has $250 to save. She will earn 2% interest at the end of the month.
Carson has $450 to save. He will earn 1.5% interest at the end of the month.
Who will earn more over time?
Aarthi. Her interest earns more, even though she will have earned less than Carson in the first month.