NUMBERS
Write 7,000,000 in standard form.
7 × 10⁶
Find:
1/2 + 1/4
3/4
x + 6 = 15
x = 9
How many vertices does a cube have?
8
Write 25% as a decimal.
Round 48.276 to 2 decimal places.
48.28
Find the reciprocal of 3/5.
5/3
Solve:
3x = 27
x = 9
Find the perimeter of a square with side length 12 cm.
48 cm
Write 60% as a fraction in simplest form.
3/5
State whether the following numbers are rational or irrational:
a) √49
b) π
a) Rational
b) Irrational
3/4 – 1/8
5/8
Solve:
2x + 7 = 19
x = 6
Find the area of a triangle with base 10 cm and height 8 cm.
40 cm²
Find 20% of 150.
30
Write 360 as a product of primes in exponential form.
2³ × 3² × 5
2/3 × 3/5
2/5
Write an inequality to represent:
"A number is greater than or equal to 12."
x ≥ 12
A map scale is 1 cm : 5 km.
Two towns are 7 cm apart on the map.
Find the actual distance.
35 km
In a class of 40 students, 75% passed Mathematics.
How many students passed?
30 students
A number rounds to 8.4 when rounded to 1 decimal place.
Give TWO possible values of the original number.
Any values from 8.35 to 8.44
Example: 8.36 and 8.42
A baker used 3/8 bag of flour in the morning and 1/4 bag in the afternoon.
How much flour was used altogether?
5/8
The perimeter of a rectangle is 50 cm.
The length is 15 cm.
Find the width.
50 = 2(l + w)
50 = 2(15 + w)
25 = 15 + w
w = 10 cm
A farmer owns a parallelogram-shaped field.
Base = 18 m
Height = 10 m
Grass costs $6 per square metre.
Find the cost of covering the field.
Area = 18 × 10 = 180 m²
Cost = 180 × 6
= $1080
A jacket costs $8,000.
The store offers a 15% discount.
Calculate:
a) The discount
b) The sale price
Discount = 15% × 8000
= $1,200
Sale price = $8,000 − $1,200
= $6,800