Standard & Compound Units

1

2 marks

A rectangle has an area of 4 m².

Write this area in cm².

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2a

2 marks

Peter goes for a walk.
He walks 15 miles in 6 hours.

Work out Peter's average speed.
Give your answer in miles per hour.

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2b

2 marks

5 miles = 8 km.
Sunita says that Peter walked more than 20 km.

Is Sunita right?
You must show all your working.

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3a

2 marks

Manchester airport is on a bearing of 330° from a London airport.

Find the bearing of the London airport from Manchester airport.

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3b

4 marks

The London airport is 200 miles from Manchester airport.

A plane leaves Manchester airport at 10am to fly to the London airport.
The plane flies at an average speed of 120 mph.

What time does the plane arrive at the London airport?

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4a

3 marks

Gary drove from London to Sheffield.
It took him 3 hours at an average speed of 80km/h.

Lyn drove from London to Sheffield.
She took 5 hours.

Assuming that Lyn
drove along the same roads as Gary
and did not take a break,

work out Lyn's average speed from London to Sheffield.

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4b

1 mark

If Lyn did not drive along the same roads as Gary, explain how this could affect your answer to part (a).

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5

3 marks

p = \frac{F}{A} p = pressure F = force A = area

A box exerts a force of 140 newtons on a table.
The pressure on the table is 35 newtons/m².

Calculate the area of the box that is in contact with the table.

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6

1 mark

A square has an area of 0.25 square metres.

Circle the length, in centimetres, of one side of the square.

0.5 cm

5 cm

50 cm

500 cm

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7

1 mark

How many millimetres are there in a kilometre?

Circle your answer.

10^{3}

10^{5}

10^{6}

10^{9}

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8

1 mark

What is 1.75 kilometres as a fraction of 700 metres?

Circle your answer.

\frac{5}{2}

\frac{1}{4}

\frac{4}{1}

\frac{2}{5}

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9

1 mark

Circle the volume that is the same as $15 {cm}^{3}$

15 000 {mm}^{3}

1.5 {mm}^{3}

0.0015 {mm}^{3}

150 {mm}^{3}

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10

1 mark

Circle the area that is equal to 36 mm²

360 cm²

3600 cm²

3.6 cm²

0.36 cm²

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11

1 mark

Circle the area that is the same as 5.5 m²

550 cm²

5 500 cm²

55 000 cm²

5 500 000 cm²

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12

3 marks

A train takes 6 hours 39 minutes to travel from New Delhi to Kanpur.
The train travels a distance of 429 km.

Work out the average speed of the train.
Give your answer in km/h correct to one decimal place.

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13

3 marks

A train journey from Paris to Amsterdam took 3 hours 24 minutes.
The total distance the train travelled was 433.5 km.

Work out the average speed of the train.
Give your answer in kilometres per hour.

...................................................... km/h

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14

1 mark

Change 1 m³ to cm³.

...................................................... cm³

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15

2 marks

Change 32.4 m³ into cm³.

................ cm³

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16

3 marks

A rocket travelled $100 km$ at an average speed of $28440 km / h .$

Work out how long it took the rocket to travel the $100 km .$
Give your answer in seconds, correct to the nearest second.

...................................... seconds

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17

3 marks

pressure = \frac{force}{area}

A box is put on a table.

The face of the box in contact with the table is in the shape of a rectangle, $2 m$ by $1.25 m$ .
The pressure on the table due to the box is $42$ $newtons / m^{2}$

Work out the force exerted by the box on the table.

....................................... newtons

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18

3 marks

Abelie flew by plane from Dubai to Rome.

The flight time was $6$ hours $42$ minutes.
The average speed of the plane was $650$ kilometres per hour.

Work out the distance the plane flew.

..........................................kilometres

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19

3 marks

$pressure = \frac{force}{area}$

Find the pressure exerted by a force of 810 newtons on an area of 120 ${cm}^{2}$
Give your answer in $newtons / m^{2}$

........................... $newtons / m^{2}$

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20

5 marks

Carol makes birthday cards.
Each card takes the same amount of time to make.

She makes 3 cards in 48 minutes.
She has an order for 80 cards.

Can she complete this order in 3 days if she works 8 hours each day?
Show how you decide.

..................... because
......................................................................................................................

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21

2 marks

The ratio 50 grams to 1 kilogram can be written in the form 1 : n.

Find the value of n.

n = .....................................................

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22a

4 marks

Hector can run 400 metres in 66 seconds.

Use this information to show that he could run 5 kilometres in less than 14 minutes.

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22b

1 mark

Hector tries to run 5 kilometres in less than 14 minutes.

Give one reason why he might not achieve this.

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23

3 marks

A solid metal block has mass 500 g and volume 125 cm³.

Work out the density of the block.
Give the units of your answer.

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24a

3 marks

The depth of water in a garden pond is 57.8 cm.
The depth decreases by 0.3 cm per day.

Assume the depth continues to decrease at the same rate.

After how many days will the depth reach 54.2 cm?

......................... days

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24b

1 mark

If the depth of water decreases at a slower rate, what effect will this have on your answer to part (a)?

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Standard & Compound Units (AQA GCSE Maths)

Exam Questions

1. Number

Number Toolkit

Prime Factors, HCF & LCM

Powers, Roots & Standard Form

Fractions

Percentages

Simple & Compound Interest, Growth & Decay

Fractions, Decimals & Percentages

Rounding, Estimation & Bounds

Surds

Using a Calculator

2. Algebra

Algebra Toolkit

Algebraic Roots & Indices

Expanding Brackets

Factorising

Completing the Square

Algebraic Fractions

Rearranging Formulae

Algebraic Proof

Linear Equations

Solving Quadratic Equations

Simultaneous Equations

Iteration

Forming & Solving Equations

Functions

Coordinate Geometry

Linear Graphs y = mx + c

Graphs of Functions

Equation of a Circle

Estimating Gradients & Areas under Graphs

Real-Life Graphs

Solving Inequalities

Graphing Inequalities

Transformations of Graphs

Sequences

3. Ratio, Proportion & Rates of Change

Ratio Toolkit

Ratio Problem Solving

Direct & Inverse Proportion

Exchange Rates & Best Buys

4. Geometry & Measures

Geometry Toolkit

Angles in Polygons & Parallel Lines

Bearings, Scale Drawing, Constructions & Loci

Circle Theorems

Area & Perimeter

Circles, Arcs & Sectors

Volume & Surface Area

Congruence, Similarity & Geometrical Proof

Area & Volume of Similar Shapes

Right-Angled Triangles - Pythagoras & Trigonometry

Sine, Cosine Rule & Area of Triangles

3D Pythagoras & Trigonometry

Vectors

Transformations

5. Probability

Probability Toolkit

Simple Probability Diagrams

Tree Diagrams

Combined & Conditional Probability

6. Statistics

Statistics Toolkit

Statistical Diagrams

Histograms

Cumulative Frequency & Box Plots

Scatter Graphs & Correlation