Percentages
What is 25% of 160?
40
(10%=16
5%=8
16x2=32
32+8=40
25%=40)
What are the standard metric units for measuring length and area?
Length: millimetres (mm), centimetres (cm), metres (m), kilometres (km)
Area: square centimetres (cm²), square metres (m²), hectares (ha), square kilometres (km²)
Simplify the ratio 12:16
3:4
(Find the greatest common factor (GCF) of 12 and 16 → GCF = 4
Divide both terms by 4: 12/4 : 16/4 = 3:4)
What is the next term in the pattern: 3, 6, 9, 12, ___?
Pattern increases by 3 each time
Next term: 15
Is "shoe size" categorical or numerical data?
It is numerical data because it involves numbers that can be measured and ordered.
Express 30 out of 120 as a percentage
25%
(30 divided by 120 =0.25
0.25 x 100 = 25%)
Convert 3.5 metres to centimetres
3.5m = 3.5 × 100 = 350cm
If the ratio of boys to girls is 2:3 and there are 15 girls, how many boys are there?
10 Boys
(Girls = 3 parts → 15
1 part = 15 ÷ 3 = 5
Boys = 2 parts → 2 × 5 = 10)
Write an expression for “5 more than twice a number x”
Expression: 2x + 5
A class survey shows how many books students read last month:
2, 3, 3, 4, 5, 2, 3, 4, 5, 5
Create a frequency table
2 2
3 3
4 2
5 3
Which is greater: 60% of 200 or 75% of 160?
They are equal.
Find the perimeter of a rectangle with length 8 m and width 5 m
P = 2 × (8 + 5)
= 2 × 13 = 26 m
Write a rule for the relationship: “The total cost (C) is $5 per item (n).”
C=5n
(Rule - C=5n)
3x + 4 when x = 2
10
The ages of 5 students are: 12, 13, 14, 13, and 18.
What is the mean, median, and mode of their ages?
Mean - 14 (Divide by the number of students: 70 ÷ 5 = 14)
Median - 13 (Arrange in order: 12, 13, 13, 14, 18 - Middle value is the third one)
Mode - 13 (13 appears twice, more than any other number)
A jacket originally costs $80. If it’s discounted by 15%, how much is the discount?
$12 discount
(10%=8
5%=4
8+4=12)
What is the area of a triangle with base 10 cm and height 6 cm?
A= 10 x 6 = 60 x 1/2 =30cm2
x + 7 = 19
x=12
Simplify 4x + 3x − 2 + 5
7x+3
In the data set 5, 6, 7, 8, 50, which number is an outlier?
50
(50 is an outlier because it is much higher than the rest of the values)
If 20% of a number is 50, what is the original number?
250
*NOT IN EXAM JUST AN EXTRA QUESTION DON'T NEED TO REMEBER THIS*
Find the circumference of a circle with radius 7 cm
C= 2 x 7 x pi = 43.98
Is x = 4 a solution to the equation 3x − 2 = 10?
Yes, it satisfies the equation
Multiply (x + 2)(x − 3)
x2-x-6
Create a stem-and-leaf plot for the data: 12, 14, 15, 21, 22, 24
Stem = tens digit
Leaf = ones digit
Stem | Leaf
1 l 2 4 5
2 l 1 2 4