Free Printable Facts & Formulae for GCSE Foundation Maths

1.

What does perimeter mean?

a)

The perimeter is the space inside a shape.

b)

The perimeter is the height of a shape.

c)

The perimeter is the volume of a shape.

d)

The perimeter is the total distance around a shape.

2.

What does area mean?

a)

Area is the weight of an object.

b)

Area is the space taken up in a three-dimensional space.

c)

Area is the measure of the space within a two-dimensional shape.

d)

Area refers to the total distance around the edge of a shape.

3.

What does volume mean?

a)

Volume is the measure of 3D space occupied by an object.

b)

Volume is the temperature of an object.

c)

Volume refers to the color of an object.

d)

Volume is the weight of an object.

4.

Which of these units would be used for perimeter?

a)

cm

b)

cm²

c)

cm³

5.

Which of these units would be used for circumference?

a)

cm

b)

cm²

c)

cm³

6.

Which of these units would be used for area?

a)

cm

b)

cm²

c)

cm³

7.

Which of these units would be used for volume?

a)

cm

b)

cm²

c)

cm³

8.

Which of these is the area formula for a rectangle?

a)

$base\times height$

b)

$\frac{base\times height}{2}$

c)

$\frac{1}{2}\left(a+b\right)h$

d)

$\pi r^2$

e)

$\pi d$

9.

Which of these is the area formula for a parallelogram?

a)

$base\times height$

b)

$\frac{base\times height}{2}$

c)

$\frac{1}{2}\left(a+b\right)h$

d)

$\pi r^2$

e)

$\pi d$

10.

Which of these is the area formula for a triangle?

a)

$base\times height$

b)

$\frac{base\times height}{2}$

c)

$\frac{1}{2}\left(a+b\right)h$

d)

$\pi r^2$

e)

$\pi d$

11.

Which of these is the area formula for a trapezium?

a)

$base\times height$

b)

$\frac{base\times height}{2}$

c)

$\frac{1}{2}\left(a+b\right)h$

d)

$\pi r^2$

e)

$\pi d$

12.

Which of these is the formula for area of a circle?

a)

$base\times height$

b)

$\frac{base\times height}{2}$

c)

$\frac{1}{2}\left(a+b\right)h$

d)

$\pi r^2$

e)

$\pi d$

13.

Which of these is the formula for circumference of a circle?

a)

$base\times height$

b)

$\frac{base\times height}{2}$

c)

$\frac{1}{2}\left(a+b\right)h$

d)

$\pi r^2$

e)

$\pi d$

14.

Label the parts of this circle

a)arc

b)tangent

c)radius

d)diameter

e)chord

f)segment

g)circumference

h)sector

i)hemisphere

j)perimeter

1

2

3

4

5

6

7

8

1)

2)

3)

4)

5)

6)

7)

8)

15.

Label each of these quadrilaterals

a)square

b)rhombus

c)rectangle

d)trapezium

e)parallelogram

f)kite

g)triangle

h)pentagon

i)cube

j)diamond

1

2

3

4

5

6

1)

2)

3)

4)

5)

6)

16.

Label these regular polygons with their general names

a)triangle

b)quadrilateral

c)pentagon

d)hexagon

e)heptagon

f)octagon

g)nonagon

h)decagon

i)dodecagon

j)square

1

2

3

4

5

6

7

8

9

1)

2)

3)

4)

5)

6)

7)

8)

9)

17.

Label these triangles

a)equilateral

b)isosceles

c)right-angled

d)scalene

e)equal

f)reflex

g)corresponding

1

2

3

4

1)

2)

3)

4)

18.

Label these 3D solids

a)cube

b)cuboid

c)triangular prism

d)sphere

e)tetrahedron

f)square based pyramid

g)cylinder

h)cone

i)square

j)circle

1

2

3

4

5

6

7

8

1)

2)

3)

4)

5)

6)

7)

8)

19.

Which of these IS a polygon?

a)

square

b)

cube

c)

circle

d)

triangle

e)

line

20.

All angles in a triangle add up to

a)

90°

b)

180°

c)

360°

d)

540°

21.

All angles in a quadrilateral add up to

a)

90°

b)

180°

c)

360°

d)

540°

22.

All angles in a pentagon add up to

a)

90°

b)

180°

c)

360°

d)

540°

23.

All angles in a right-angle add up to

a)

90°

b)

180°

c)

360°

d)

540°

24.

All angles on a straight line add up to

a)

90°

b)

180°

c)

360°

d)

540°

25.

All angles around a point add up to

a)

90°

b)

180°

c)

360°

d)

540°

26.

All angles in a circle add up to

a)

90°

b)

180°

c)

360°

d)

540°

27.

Angles that are alternate (Z angles)...

a)

...add up to 180°

b)

...add up to 360°

c)

...are always equal

d)

...have no relationship to each other

28.

Angles that are vertically opposite (X angles)...

a)

...add up to 180°

b)

...add up to 360°

c)

...are always equal

d)

...have no relationship to each other

29.

Angles that are corresponding (F angles)...

a)

...add up to 180°

b)

...add up to 360°

c)

...are always equal

d)

...have no relationship to each other

30.

Angles that are co-interior (C angles)...

a)

...add up to 180°

b)

...add up to 360°

c)

...are always equal

d)

...have no relationship to each other

31.

Opposite angles in a parallelogram...

a)

...add up to 180°

b)

...add up to 360°

c)

...are always equal

d)

...have no relationship to each other

32.

Adjacent angles in a parallelogram...

a)

...add up to 180°

b)

...add up to 360°

c)

...are always equal

d)

...have no relationship to each other

33.

Interior and exterior angles...

a)

...add up to 180°

b)

...add up to 360°

c)

...are always equal

d)

...have no relationship to each other

34.

All exterior angles...

a)

...add up to 180°

b)

...add up to 360°

c)

...are always equal

d)

...have no relationship to each other

35.

Z angles are ACTUALLY called

a)

Alternate

b)

Corresponding

c)

Co-Interior

d)

Right

36.

F angles are ACTUALLY called

a)

Alternate

b)

Corresponding

c)

Co-Interior

d)

Right

37.

C angles are ACTUALLY called

a)

Alternate

b)

Corresponding

c)

Co-Interior

d)

Right

38.

Two lines that meet at 90 degrees are called

a)

Parallel

b)

Perpendicular

c)

Gradient

39.

Two lines that never meet are called

a)

Parallel

b)

Perpendicular

c)

Gradient

40.

How do you calculate the Mode of a set of numbers?

a)

Add all data and divide by total frequency

b)

Find the most common piece of data

c)

Put data in size order and locate the middle value

d)

Take the smallest value from the largest

41.

How do you calculate the Mean of a set of numbers?

a)

Add all data and divide by total frequency

b)

Find the most common piece of data

c)

Put data in size order and locate the middle value

d)

Take the smallest value from the largest

42.

How do you calculate the Median of a set of numbers?

a)

Add all data and divide by total frequency

b)

Find the most common piece of data

c)

Put data in size order and locate the middle value

d)

Take the smallest value from the largest

43.

Which of these is an average?

a)

Mean

b)

Median

c)

Mode

d)

Range

44.

How do you calculate the Range of a set of numbers?

a)

Add all data and divide by total frequency

b)

Find the most common piece of data

c)

Put data in size order and locate the middle value

d)

Take the smallest value from the largest

45.

If you wanted to look at the consistency of a set of data, which of the following would be most useful?

a)

Mean

b)

Median

c)

Mode

d)

Range

46.

Which of these is the WORST choice for a set of data with an outlier in the data?

a)

Mean

b)

Median

c)

Mode

d)

Range

47.

What is an outlier?

a)

An outlier is a data point that is always the lowest value.

b)

An outlier is a data point that is always the highest value.

c)

An outlier is the average of a data set.

d)

An outlier is a data point that is significantly different from the rest of the data.

48.

What is an anomaly?

a)

An anomaly is a deviation from the expected pattern or standard.

b)

An anomaly is a type of measurement.

c)

An anomaly is a standard procedure.

d)

An anomaly is a common occurrence.

49.

What is extrapolation?

a)

Extrapolation is the method of analyzing data by comparing it to historical trends.

b)

Extrapolation is the process of finding the average of a set of values.

c)

Extrapolation is the process of estimating unknown values by extending a known sequence outside of a given data set.

d)

Extrapolation refers to the calculation of the exact value of a known quantity.

50.

How can you give your answers to probability questions? Tick all that apply

a)

Fractions

b)

Decimals

c)

Percentages

d)

Ratio

51.

What does all probability have to add up to?

a)

1

b)

10

c)

100

d)

1000

52.

What is relative frequency?

a)

Relative frequency is the same as experimental probability.

b)

Relative frequency is the percentage of an event occurring in a specific time frame.

c)

Relative frequency is the average of all possible outcomes in a single trial.

d)

Relative frequency is the total number of trials divided by the number of times an event occurs.

53.

What do we do when a probability questions asks us what we EXPECT to happen?

a)

Probability ÷ Trials

b)

Trials ÷ Probability

c)

Probability × Trials

d)

1 - Probability

54.

What is the AND rule in probability?

a)

If we want two or more things to happen then we multiply the probabilities

b)

If we want either one thing to happen or the other thing to happen, then we add the probabilities

c)

If we want one thing to happen we multiply the probabilities

d)

If we want to know the probability of everything, we subtract the probabilities from each other

55.

What is the OR rule in probability?

a)

If we want two or more things to happen then we multiply the probabilities

b)

If we want either one thing to happen or the other thing to happen, then we add the probabilities

c)

If we want one thing to happen we multiply the probabilities

d)

If we want to know the probability of everything, we subtract the probabilities from each other

56.

Which of the following is equivalent to:

$x<4$

a)

x is less than 4

b)

x is less than or equal to 4

c)

x is greater than 4

d)

x is greater than or equal to

57.

Which of the following is equivalent to:

$x\le4$

a)

x is less than 4

b)

x is less than or equal to 4

c)

x is greater than 4

d)

x is greater than or equal to

58.

Which of the following is equivalent to:

$x>4$

a)

x is less than 4

b)

x is less than or equal to 4

c)

x is greater than 4

d)

x is greater than or equal to

59.

Which of the following is equivalent to:

$x\ge4$

a)

x is less than 4

b)

x is less than or equal to 4

c)

x is greater than 4

d)

x is greater than or equal to

60.

Which of the following describes this:

2x + 7

a)

Expression

b)

Equation

c)

Inequality

d)

Identity

61.

Which of the following describes this:

2x + 7 = 11

a)

Expression

b)

Equation

c)

Inequality

d)

Identity

62.

Which of the following describes this:

2x + 11 < 13

a)

Expression

b)

Equation

c)

Inequality

d)

Identity

63.

Which of the following describes this:

2x + 11x ≡ 13x

a)

Expression

b)

Equation

c)

Inequality

d)

Identity

64.

Which of the following best describes this:

$\frac{2}{3}$

a)

Proper fraction

b)

Improper fraction

c)

Mixed number

d)

Integer

e)

Decimal

65.

Which of the following best describes this:

$1\frac{2}{3}$

a)

Proper fraction

b)

Improper fraction

c)

Mixed number

d)

Integer

e)

Decimal

66.

Which of the following best describes this:

$\frac{22}{3}$

a)

Proper fraction

b)

Improper fraction

c)

Mixed number

d)

Integer

e)

Decimal

67.

Which of the following best describes this:

23

a)

Proper fraction

b)

Improper fraction

c)

Mixed number

d)

Integer

e)

Decimal

68.

Which of the following best describes this:

2.3

a)

Proper fraction

b)

Improper fraction

c)

Mixed number

d)

Integer

e)

Decimal

69.

Pythagoras's Theorem

The (a) of the (b) of the two (c) sides in a right-angled triangle is always equal to the square of the (d) side. The longest side is also known as the (e)

Choose from the below words

sum

shorter

squares

longest

hypotenuse

adjacent

trigonometry

corresponding

70.

Which fraction operation is being described here?
If the denominators are the same, then we don't need to worry, just _______ the tops and keep the denominator the same. If not, we need to find a common denominator and cross-multiply before _______.

a)

Add/Subtract fractions

b)

Multiply Fractions

c)

Divide Fractions

d)

Cancelling Down

e)

Changing a top heavy fraction to a mixed number

71.

Which fraction operation is being described here?
Just _______ the tops and _______ the bottoms.

a)

Add/Subtract fractions

b)

Multiply Fractions

c)

Divide Fractions

d)

Cancelling Down

e)

Changing a top heavy fraction to a mixed number

72.

Which fraction operation is being described here?
Keep, Flip, Change

a)

Add/Subtract fractions

b)

Multiply Fractions

c)

Divide Fractions

d)

Cancelling Down

e)

Changing a top heavy fraction to a mixed number

73.

Which fraction operation is being described here?
Find a common factor in both the top and bottom, and divide both by that, leaving the answers in the fraction instead

a)

Add/Subtract fractions

b)

Multiply Fractions

c)

Divide Fractions

d)

Cancelling Down

e)

Changing a top heavy fraction to a mixed number

74.

Which fraction operation is being described here?
Ask ourselves, how many of the bottom goes into the top, write that as our integer, and then leave the remainder in the fraction

a)

Add/Subtract fractions

b)

Multiply Fractions

c)

Divide Fractions

d)

Cancelling Down

e)

Changing a top heavy fraction to a mixed number

75.

Which of these answers is the word to describe the following:

Change everything to nice numbers so that we can quickly calculate a tricky sum in our heads

a)

Estimate

b)

Round

c)

Simplify

d)

Evaluate

76.

Which of these answers is the word to describe the following:

At the end of a calculation, we write a long decimal as something shorter by looking at the number that comes after the one we're looking at. 4 or less will keep it the same, 5 or more will bump it up.

a)

Estimate

b)

Round

c)

Simplify

d)

Evaluate

77.

Which of these answers is the word to describe the following:

Keep it in the same format as you were given it, but tidy it up.

(E.g. if you were given algebra, it'll still be algebra but tidied. If it was indices, the answer will still be in index form but shorter)

a)

Estimate

b)

Round

c)

Simplify

d)

Evaluate

78.

Which of these answers is the word to describe the following:

Work out the actual number answer

a)

Estimate

b)

Round

c)

Simplify

d)

Evaluate

79.

Which number is prime?

a)

2

b)

15

c)

4

d)

9

80.

Which number is a square number?

a)

2

b)

5

c)

16

d)

10

81.

Which number is a cube number?

a)

10

b)

8

c)

6

d)

2

82.

8 is a factor of 2

a)

True

b)

False

83.

8 is a multiple of 2

a)

True

b)

False

84.

The HCF of 6 and 8 is 24

a)

True

b)

False

85.

The LCM of 6 and 8 is 24

a)

True

b)

False

86.

Put these in order

a)

Tens

b)

Units

c)

Decimal Point

d)

Tenths

e)

Hundredths

1)

2)

3)

4)

5)

87.

BIDMAS tells us the order of operations. The first thing will be to sort out any (a) . Next we look for (b) , which includes powers and (c) . Next, multiplication and division are (d) so should be done together as a third step. Finally, we work (e) when all we have left is addition and subtraction.

Choose from the below words

brackets

indices

equal

left to right

right to left

important

unequal

roots

fractions

88.

Which word describes the following?

Multiplying out the brackets

a)

Expanding

b)

Factorising

c)

Solving

d)

Collecting like terms

e)

Substituting

89.

Which word describes the following?

Putting back into brackets

a)

Expanding

b)

Factorising

c)

Solving

d)

Collecting like terms

e)

Substituting

90.

Which word describes the following?

Finding out what the letter stands for

a)

Expanding

b)

Factorising

c)

Solving

d)

Collecting like terms

e)

Substituting

91.

Which word describes the following?

Adding together all of the same letters, and all numbers together

a)

Expanding

b)

Factorising

c)

Solving

d)

Collecting like terms

e)

Substituting

92.

Which word describes the following?

Putting in a number where there was a letter

a)

Expanding

b)

Factorising

c)

Solving

d)

Collecting like terms

e)

Substituting

93.

How many mm in a cm?

a)

10

b)

100

c)

1,000

d)

1,000,000

94.

How many mm in a m?

a)

10

b)

100

c)

1,000

d)

1,000,000

95.

How many mm in a km?

a)

10

b)

100

c)

1,000

d)

1,000,000

96.

How many cm in a m?

a)

10

b)

100

c)

1,000

d)

1,000,000

97.

How many m in a km?

a)

10

b)

100

c)

1,000

d)

1,000,000

98.

In index laws, if we are multiplying two numbers with powers, and the same base number, we do what to the powers?

(E.g. $2^2\times2^3$ )

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

99.

In index laws, if we are dividing two numbers with powers, and the same base number, we do what to the powers?

(E.g. $2^2\div2^3$ )

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

100.

In index laws, if we have a number with powers in a bracket with powers, we do what to the powers?

(E.g. $\left(2^2\right)^3$ )

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

101.

One side has examples of similar shapes, the other has examples of congruent shapes. Label which side is which.

a)similar

b)congruent

c)cannot tell

d)both

1

2

1)

2)

102.

Label each part of this general equation of a line

a)y-coordinate

b)x-coordinate

c)gradient

d)y-intercept

e)x-intercept

f)midpoint

g)turning point

1

2

3

4

1)

2)

3)

4)

103.

Label the key points of this quadratic graph

a)turning point

b)y-intercept

c)root

d)gradient

e)midpoint

1

2

3

1)

2)

3)

104.

How do you work out the midpoint of two coordinates?

a)

Add the xs together, add the ys together, and halve them

b)

Find the difference in the ys, and divide it by the difference in the xs

105.

How do you work out the gradient between two coordinates?

a)

Add the xs together, add the ys together, and halve them

b)

Find the difference in the ys, and divide it by the difference in the xs

106.

Product means...

a)

multiply

b)

subtract

c)

add

d)

divide

107.

Sum means...

a)

multiply

b)

subtract

c)

add

d)

divide

108.

Difference means...

a)

multiply

b)

subtract

c)

add

d)

divide

109.

When reading co-ordinates, we go along the corridor then up the stairs

a)

True

b)

False

110.

When reading co-ordinates, the y co-ordinate is first in the bracket. (y, x)

a)

True

b)

False

111.

Tell me which direction each of these numbers in this translation vector wants me to go

a)right

b)down

c)left

d)up

1

2

1)

2)

112.

Label each part of this nth term formula with its properties

a)common difference

b)position

c)adjustment

1

2

3

1)

2)

3)

113.

Which type of sequence is this?

1, 1, 2, 3, 5, 8, ...

a)

Fibonacci

b)

Arithmetic

c)

Geometric

d)

Triangle

e)

Square

114.

Which type of sequence is this?

1, 4, 7, 10, 13...

a)

Fibonacci

b)

Arithmetic

c)

Geometric

d)

Triangle

e)

Square

115.

Which type of sequence is this?

1, 2, 4, 8, 16, 32...

a)

Fibonacci

b)

Arithmetic

c)

Geometric

d)

Triangle

e)

Square

116.

Which type of sequence is this?

1, 3, 6, 10, 15...

a)

Fibonacci

b)

Arithmetic

c)

Geometric

d)

Triangle

e)

Square

117.

Which type of sequence is this?

1, 4, 9, 16, 25, 36...

a)

Fibonacci

b)

Arithmetic

c)

Geometric

d)

Triangle

e)

Square

118.

Label each of these scatter graphs with their correlation

a)strong positive

b)weak positive

c)no correlation

d)weak negative

e)strong negative

f)strong weak

g)negative no correlation

1

2

3

4

5

1)

2)

3)

4)

5)

119.

Match the following types of data

a)

Data that can have decimal values

1.

Continuous

b)

Data that can only take integer values

2.

Discrete

c)

Something that is out of the ordinary for the data set

3.

Anomaly

d)

Data that is numerical

4.

Quantitative

e)

Data that isn't numerical

5.

Qualitative

120.

Reorder the following steps to describe the method for drawing a pie chart

a)

Add up the total number of people in the pie chart

b)

Divide 360 by the total frequency to find degrees per person

c)

Multiply the people in each category by the degrees per person

d)

Check that it adds up to 360 degrees

e)

Draw a circle, a starting line, and measure the angles using a protractor

1)

2)

3)

4)

5)

Facts & Formulae for GCSE Foundation Maths

Total questions: 120

Worksheet time: 1hrs 17mins

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