Maths

Question 1

A recipe calls for a ratio of 3:2 of flour to sugar. If you use 600g of flour, how much sugar do you need?

Answer 1

Since the ratio is 3:2, divide 600g by 3 to find one part:
600 ÷ 3 = 200g per part.

Question 2

A school has 180 boys and 120 girls. What is the ratio of boys to girls in its simplest form?

Answer 2

The ratio is 180:120. Simplify by dividing both by 60:
180 ÷ 60 = 3, 120 ÷ 60 = 2.
So, the simplified ratio is 3:2.

Question 3

A store is offering a 25% discount on a $120 jacket. What is the new price after the discount?

Answer 3

Find 25% of $120:
(25 ÷ 100) × 120 = $30 discount.
New price = $120 - $30 = $90.

Question 4

A laptop originally cost $800 but increased in price by 15%. What is the new price?

Answer 4

Find 15% of $800:
(15 ÷ 100) × 800 = $120 increase.
New price = $800 + $120 = $920.

Question 5

A car travels 240 km in 4 hours. What is its average speed?

Answer 5

Speed = Distance ÷ Time
Speed = 240 ÷ 4 = 60 km/h.

Question 6

A worker earns $750 for 25 hours of work. What is their hourly rate?

Answer 6

Hourly rate = Total earnings ÷ Total hours
= 750 ÷ 25 = $30 per hour.

Question 7

If you invest $5000 in a savings account with an annual simple interest rate of 4% for 3 years, how much interest will you earn?

Answer 7

Simple Interest = P × r × t
= 5000 × (4 ÷ 100) × 3
= 5000 × 0.04 × 3
= $600 interest.

Question 8

A phone is priced at $900. If a customer pays a deposit of 20%, how much is left to pay?

Answer 8

Deposit = 20% of 900
= (20 ÷ 100) × 900
= $180.
Amount left to pay = $900 - $180 = $720.