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Speed, density and pressure practice questions with answers

Foundation and Higher · Grade 5 · Calculator

A second set of speed, density and pressure questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

A cyclist travels 100 km in 4 hours. Work out the average speed in km/h.

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Answer: 25

  1. Formula: speed = distance / time.
  2. Calculate 100 / 4 = 25 km/h.
  • Method (1): Formula: speed = distance / time.
  • Accuracy (1): Calculate 100 / 4 = 25 km/h.

Question 2 Easy

A bus travels 90 km in 3 hours. Work out its average speed in km/h.

Show answer

Answer: 30

  1. Formula: speed = distance / time.
  2. Calculate 90 / 3 = 30 km/h.
  • Method (1): Formula: speed = distance / time.
  • Accuracy (1): Calculate 90 / 3 = 30 km/h.

Question 3 Medium

A force of 400 N acts on an area of 8 m². Work out the pressure in N/m².

Show answer

Answer: 50

  1. Formula: pressure = force / area.
  2. Calculate 400 / 8 = 50 N/m².
  • Method (1): Formula: pressure = force / area.
  • Accuracy (1): Calculate 400 / 8 = 50 N/m².

Question 4 Medium

A force of 300 N acts on an area of 6 m². Work out the pressure in N/m².

Show answer

Answer: 50

  1. Formula: pressure = force / area.
  2. Calculate 300 / 6 = 50 N/m².
  • Method (1): Formula: pressure = force / area.
  • Accuracy (1): Calculate 300 / 6 = 50 N/m².

Question 5 Hard

A force of 500 N acts on an area of 4 m². Work out the pressure in N/m².

Show answer

Answer: 125

  1. Formula: pressure = force / area.
  2. Calculate 500 / 4 = 125 N/m².
  • Method (1): Formula: pressure = force / area.
  • Accuracy (1): Calculate 500 / 4 = 125 N/m².

Question 6 Hard

A metal cylinder has mass 90 g and volume 15 cm³. Work out its density in g/cm³.

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Answer: 6

  1. Formula: density = mass / volume.
  2. Calculate 90 / 15 = 6 g/cm³.
  • Method (1): Formula: density = mass / volume.
  • Accuracy (1): Calculate 90 / 15 = 6 g/cm³.

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

A van travels at 50 km/h for 4 hours. Work out the distance it travels.

Show answer

Answer: 200

  1. Distance = speed × time.
  2. Substitute: 50 × 4 = 200 km.
  • Method (1): 50 × 4
  • Accuracy (1): 200

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

How is speed calculated from distance and time?

  1. Distance divided by time
  2. Distance multiplied by time
  3. Time divided by distance
Show answer

Distance divided by time Speed is distance covered per unit time.

Check 2

A car travels 180 km in 3 hours. What is its average speed?

  1. 60 km/h
  2. 540 km/h
  3. 183 km/h
Show answer

60 km/h 180 ÷ 3 = 60 km/h.

Check 3

A cyclist travels 240 km in 4 hours. What is the average speed?

  1. 60 km/h
  2. 960 km/h
  3. 80 km/h
Show answer

60 km/h 240 ÷ 4 = 60 km/h.

Check 4

What is the formula for density?

  1. Mass divided by volume
  2. Volume divided by mass
  3. Mass times volume
Show answer

Mass divided by volume Density = mass ÷ volume.

Check 5

A block has mass 250 g and volume 50 cm³. What is its density?

  1. 5 g/cm³
  2. 200 g/cm³
  3. 12500 g/cm³
Show answer

5 g/cm³ 250 ÷ 50 = 5 g/cm³.

Check 6

A stone has mass 120 g and volume 40 cm³. What is its density?

  1. 3 g/cm³
  2. 160 g/cm³
  3. 4800 g/cm³
Show answer

3 g/cm³ 120 ÷ 40 = 3 g/cm³.

Check 7

A force of 400 N acts on an area of 8 m². What is the pressure?

  1. 50 N/m²
  2. 3200 N/m²
  3. 408 N/m²
Show answer

50 N/m² 400 ÷ 8 = 50 N/m².

Check 8

A force of 300 N acts on an area of 6 m². What is the pressure?

  1. 50 N/m²
  2. 1800 N/m²
  3. 294 N/m²
Show answer

50 N/m² 300 ÷ 6 = 50 N/m².

Check 9

How far does a car travel at 60 km/h for 3 hours?

  1. 180 km
  2. 20 km
  3. 63 km
Show answer

180 km 60 × 3 = 180 km.

Check 10

How far does a train travel at 40 km/h for 5 hours?

  1. 200 km
  2. 8 km
  3. 45 km
Show answer

200 km 40 × 5 = 200 km.

Check 11

How do you find distance when speed and time are known?

  1. Multiply speed by time
  2. Divide speed by time
  3. Divide time by speed
Show answer

Multiply speed by time Distance is the product of speed and time.

Check 12

If area increases while force remains constant, what happens to pressure?

  1. Pressure decreases
  2. Pressure increases
  3. Pressure stays same
Show answer

Pressure decreases Pressure is inversely proportional to area.

Check 13

Which unit suits the density of a small solid block?

  1. g/cm³
  2. g/m
  3. kg/cm
Show answer

g/cm³ Mass in grams divided by volume in cubic centimetres.

Check 14

A bus travels 90 km in 3 hours. What is its speed?

  1. 30 km/h
  2. 270 km/h
  3. 93 km/h
Show answer

30 km/h 90 ÷ 3 = 30 km/h.

Check 15

A metal cylinder has mass 90 g and volume 15 cm³. What is its density?

  1. 6 g/cm³
  2. 105 g/cm³
  3. 1350 g/cm³
Show answer

6 g/cm³ 90 ÷ 15 = 6 g/cm³.

Keep going with Speed, density and pressure

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