Number Sense and Operations
Calculate: 8 - 13
-5
Write 0.6 as a fraction in its simplest form.
3/5
If x = 4, evaluate 3x + 2.
14
Write an expression for: five more than n.
n + 5
A journey starts at 8:15 a.m. and ends at 8:50 a.m. How long did it take?
35 minutes
Calculate: -6 + 4 × 3
6
Calculate: 3/4 + 1/8
7/8
Simplify: 5a + 3 - 2a + 4
3a + 7
Write an expression for: three times x, decreased by 4.
3x - 4
The mean of 6, 8, 10 and x is 9. Find x.
12
Calculate: 4.7 + 0.85
5.55
Find 15% of $800.
$120
Solve: 4x - 7 = 13
x = 5
What does the coefficient 6 mean in y = 6x + 2?
The gradient is 6: y increases by 6 whenever x increases by 1.
In a class, 18 students play football, 12 play basketball and 5 play both. How many play football or basketball?
25 students
Evaluate: 18 - 2(3² - 5) ÷ 4
16. Brackets first, then the index, multiplication and division, then subtraction.
A phone was discounted by 20%. The discount was $24,000. What was the original price?
$120,000
Given f(x) = 2x - 5, find x if f(x) = 9.
x = 7
A number p is at least 12. Write this as an inequality.
p ≥ 12
A class has 40 students. Three-fifths are boys. On Monday, 25% of the boys were absent. How many boys were present?
18 boys
Two students evaluated -3². Student A got -9 and Student B got 9. Which student is correct, and why?
Student A. The exponent applies to 3, so -3² = -(3²) = -9. For 9, the expression must be (-3)².
A drink is made using syrup and water in the ratio 2:5. If 21 litres of drink are made, how many litres are syrup?
6 litres
The perimeter of a rectangle is 30 cm. Its length is x + 3 cm and its width is x cm. Find its length.
9 cm
The square of a number is 11 more than the number. Write an equation using x.
x² = x + 11
A taxi charges a fixed fee of $300 plus $120 per kilometre. A passenger paid $1,140. How many kilometres did the passenger travel?
7 km