Lesson details

Key learning points

  1. In this lesson, we will solve worded problems involving direct proportion and model solutions using tables.

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6 Questions

Q1.
A chain costs 8p per 2cm. The cost and length are directly proportional. What is the cost of 6 cm?
10 p
12 p
16 p
Correct answer: 24 p
Q2.
The number of text messages sent and the cost are directly proportional. It costs 60 pence to send 10 text messages. What is the cost of sending 20 text messages?
Correct answer: 120 pence
200 pence
600 pence
Q3.
The number of text messages sent and the cost are directly proportional. It costs 60 pence to send 10 text messages. What is the cost of sending 5 text messages?
Correct answer: 30 pence
300 pence
50 pence
Q4.
If 4 ice creams cost £4.80, what is the cost of 12 ice creams?
Correct answer: £14.40
£19.20
£57.60
Q5.
Look at the table below. Choose the correct statement that describes the relationship between the number of mugs and the cost of the mugs.
Correct answer: The cost and the number of mugs are directly proportional.
The cost and the number of mugs are not directly proportional.
Q6.
Look at the table below. Choose the correct statement that describes the relationship between the number of hours worked and the pay.
The number of hours worked and the pay are directly proportional.
Correct answer: The number of hours worked and the pay are not directly proportional.

7 Questions

Q1.
The number of pens are directly proportional to the cost. What is the missing number?
£1.40
Correct answer: £5.60
£8.40
Q2.
The number of rulers are directly proportional to the cost. What is the missing number A?
+2
+4
x 2
Correct answer: x4
Q3.
The number of rulers are directly proportional to the cost. What is the missing number B?
£12.60
Correct answer: £16.80
£8.40
Q4.
x and y are directly proportional. What is the missing number in the box?
+ 14
x 2
Correct answer: x 3
Q5.
A shop sells ribbon for £3 per metre. The length of the ribbon is directly proportional to its cost. What is the cost of 5.5 metres?
£14.50
£15.50
Correct answer: £16.50
Q6.
Which description cannot go that can go in the arrow?
divide by 2
multiply by 1/2
Correct answer: multiply by 2
Q7.
Which number is missing from the box?
+1
x 0.5
Correct answer: x 1.5

Lesson appears in

UnitMaths / Direct and indirect proportion