Checking and securing understanding of direct proportion in context | Maths

Starter quiz

Two variables are in ______ proportion if they have a constant multiplicative relationship.

'direct' ✓
Four friends went to the cinema. The cost of their tickets was £38. How much did each ticket cost? £______

'9.50' ✓
In a supermarket, 3 tins of soup cost £4.80. 8 tins of the same soup should cost £______

'12.80' ✓
Match each measurement to its equivalent measurement.

3.3 cm

⇔

33 mm ✓

303 cm

⇔

3.03 m ✓

3.3 mm

⇔

0.33 cm ✓

3.3 m

⇔

3300 mm ✓

0.033 km

⇔

3300 cm ✓
Calculate the volume of this cuboid.

0.09 m³ ✓

0.9 m³

9 m³

1.47 m³

132.15 m³
Calculate the surface area of this cuboid.

0.09 m²

0.735 m²

1.47 m² ✓

2.94 m²

Two variables are in direct proportion if they have a __________ relationship.

additive

constant additive ✓

constant multiplicative

multiplicative
Which of these graphs shows direct proportion between the two variables?
The ratio table shows the conversion €7 (Euros) = £6 (Pounds Sterling). €630 = £______

'540' ✓
The perimeter of a triangle is 33 300 cm. Which calculation shows its perimeter in metres?

33 300 cm ÷ 10

33 300 cm ÷ 100 ✓

33 300 cm ÷ (3 × 100)

33 300 cm ÷ 100 ÷ 100 ÷ 100
A circular sector with an angle of 60° has a radius of 6 cm, an arc length of 2π cm and an area of 6π cm². Select the correct statements.

The arc length is directly proportional to the radius. ✓

The area is directly proportional to the radius.

If the radius is doubled, the arc length will be 4π cm ✓

If the radius is doubled, the area will be 12π cm².
The area of a triangle is 600 cm². The area of the triangle in metres squared is ______ m².

'0.06' ✓

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All straight line graphs show direct proportion.

Only straight line graphs that pass through the origin (0, 0) show direct proportion.

Direct proportion - Two variables are in direct proportion if they have a constant multiplicative relationship.