Fractions & Decimals
Convert 0.45 to a fraction in simplest form.
45/100 = 9/20
Simplify 7a − 3a
4a
How many degrees in a right angle?
90°
Find the range of: 4, 8, 3, 9, 10.
Range = 10 − 3
= 7
What is 2/3 − 1/6?
4/6 - 1/6 = 3/6 = 1/2
Solve: 5x = 45
x = 45/5
= 9
A rectangle has perimeter 30 cm and one side is 8 cm. Find the other side.
2(8 + x) = 30
8 + x = 15
x = 7
The other side is 7cm
A bag has 10 counters. 6 are blue. What is the probability of NOT picking a blue counter?
P(not blue) = 1 - 6/10
= 4/10
= 2/5
A number is multiplied by 0.2 and the result is 7. What was the original number?
7/0.2 = 35
Expand & simplify: 3(2y + 4) − 5
6y + 12 - 5
6y + 7
A triangle has angles 35° and 65°. What is the third angle?
180 - 35 - 65 = 80°
The mean of five numbers is 6. Four of the numbers are: 3, 9, 8, 2. What is the missing number?
Total = 6×5=30
Known total = 22
Answer: Missing number = 8
A recipe uses ¾ cup of sugar. You want to make a batch that is 1⅔ times bigger.
How much sugar do you need?
3/4 × 5/3 = 15/12 = 5/4 cups or 1 + 1/4 cups
A number is doubled, then increased by 7, and the final result is 39.
What was the original number?
Let the number = n
2n + 7 = 39
2n = 32
n = 16
The original number was 16
A square and a rectangle have the same area.
The square’s side length is 9 cm.
The rectangle’s length is 27 cm.
What is the rectangle’s width?
Area of square = 9 × 9 = 81
Width = 81 / 27 = 3cm
The rectangle’s width is 3cm
A class collects data on pets owned.
They find:
12 students have a dog
15 have a cat
5 have both
4 have neither
How many students are in the class?
Dog OR cat = 12 + 15 − 5 = 22
Neither = 4
Total students = 22 + 4 = 26