Free Printable BTC - GCSE Maths Prerequisite Knowledge

1.

The multiples of a number are the answers to its

(a)

2.

The smallest multiple that 2 numbers BOTH have is known as their

(a)

3.

The (a) of a number are the whole numbers that divide exactly into it.

Choose from the below words

factors

multiples

powers

roots

4.

The biggest factor that 2 numbers BOTH have is known as their highest

(a)

5.

Match the following

a)

The multiples of a number

1.

The answers to its times tables

b)

The factors of a number

2.

The whole numbers that divide exactly in

c)

The square of a number

3.

We multiply a number by itself

d)

The cube of a number

4.

We multiply a number by itself twice

e)

Prime Numbers

5.

Numbers that have exactly 2 factors

6.

What do we mean by finding the Square Root of a number?

(you need 2 answers)

a)

a number multiplied by itself

b)

The opposite of squaring

c)

Find a number which, times by itself, gets you that number

d)

Multiply the number by 4

7.

Match the following

a)

Multiples of 10

1.

10, 20, 30, 40, ...

b)

Factors of 10

2.

1, 10, 2, 5

c)

10 squared

3.

100

d)

10 cubed

4.

1000

e)

The square root of 100

5.

10

8.

What is the following list of numbers known as ?

1, 4, 9, 16, 25, 36, 49, 64, 100, ...

a)

The

triangular numbers

b)

The

cube numbers

c)

The

square numbers

d)

The

prime numbers

9.

What is the following list of numbers known as?

1, 8, 27, 64, 125, 216, ...

a)

The

triangular numbers

b)

The

cube numbers

c)

The

square numbers

d)

The

prime numbers

10.

What is the following list of numbers known as?

2, 3, 5, 7, 11, 13, 17, 19, 23, ...

a)

The

triangular numbers

b)

The

cube numbers

c)

The

square numbers

d)

The

prime numbers

11.

What is the following list of numbers known as?

1, 3, 6, 10, 15, 21, 28, ...

a)

The

triangular numbers

b)

The

cube numbers

c)

The

square numbers

d)

The

prime numbers

12.

What is the value of $4^2$

a)

8

b)

16

13.

Match the following

a)

$3^3$

1.

$3\times3\times3$

b)

$3^5$

2.

$3\times3\times3\times3\times3$

c)

$3^4$

3.

$3\times3\times3\times3$

d)

$3^1$

4.

3

e)

$3^0$

5.

1

14.

When multiplying two powers of the same base we should (a) the indices

Choose from the below words

Add

Subtract

Multiply

Divide

15.

When dividing two powers of the same base we should (a) the indices

Choose from the below words

Subtract

Add

Multiply

Divide

16.

Anything to the power of 0 is

17.

The top number in a fraction is called the

(a)

18.

The bottom number in a fraction is called the

(a)

19.

Match the following fractions with their equivalent decimal

a)

$\frac{1}{2}$

1.

0.5

b)

$\frac{1}{4}$

2.

0.25

c)

$\frac{3}{4}$

3.

0.75

d)

$\frac{1}{5}$

4.

0.2

e)

$\frac{1}{10}$

5.

0.1

20.

Match each fraction with its equivalent percentage

a)

$\frac{1}{2}$

1.

50%

b)

$\frac{1}{4}$

2.

25%

c)

$\frac{3}{4}$

3.

75%

d)

$\frac{3}{10}$

4.

30%

e)

$\frac{19}{20}$

5.

95%

21.

To change a fraction into a decimal, we divide the (a) by the (b)

Choose from the below words

top

bottom

22.

To calculate a fraction of an amount we (a) by the bottom and (b) by the top

Choose from the below words

Divide

Multiply

Add

Subtract

23.

To calculate a percentage of an amount we ..

a)

Divide by the percentage

b)

Multiply by the percentage

c)

Divide by 100 and multiply by the percentage

d)

Divide by the percentage and multiply by 100

24.

A quick way of finding 10% of a number is to divide it by

(a)

25.

Match the following fractions with their equivalent percentages

a)

$\frac{1}{2}$

1.

50%

b)

$\frac{1}{4}$

2.

25%

c)

$\frac{1}{10}$

3.

10%

d)

$\frac{3}{10}$

4.

30%

e)

$\frac{3}{20}$

5.

15%

26.

To convert a fraction or a decimal into a percentage we multiply it by ...

27.

What is $\frac{2}{3}$ of 90?

28.

What is $\frac{4}{5}$ of 60

29.

Put the following operations in the correct order that they should be carried out in a calculation

a)

Brackets

b)

Indices

c)

Divide/Multiply

d)

Add/Subtract

1)

2)

3)

4)

30.

Evaluate 3 + 4 × 5

31.

Evaluate 3 × (4 - 2)

32.

Evaluate $\left(2+3\right)^2$

33.

$7^2+30\div5$

34.

An angle is a measure of (a) and is measured in (b) using a (c)

Choose from the below words

turn

degrees

protractor

size

centimetres

ruler

half circle

line

35.

What type of angle is shown in the image?

a)

Right Angle

b)

Obtuse Angle

c)

Reflex Angle

d)

Acute Angle

36.

What type of angle is shown in the image?

a)

Right Angle

b)

Obtuse Angle

c)

Reflex Angle

d)

Acute Angle

37.

What type of angle is shown in the image?

a)

Right Angle

b)

Obtuse Angle

c)

Reflex Angle

d)

Acute Angle

38.

What type of angle is shown in the image?

a)

Straight Angle

b)

Obtuse Angle

c)

Reflex Angle

d)

Acute Angle

39.

What type of angle is shown in the image?

a)

Straight Angle

b)

Obtuse Angle

c)

Reflex Angle

d)

Acute Angle

40.

How many degrees is the angle shown in the image?

41.

How many degrees is the angle shown in the image?

42.

How many degrees is the angle shown in the image?

43.

How many degrees is the angle shown in the image?

44.

The angles on a straight line

add up to (a)

Choose from the below words

90\degree

270\degree

360\degree

200\degree

$180\degree$

45.

The angles around a point

add up to (a)

Choose from the below words

$180\degree$

90\degree

270\degree

200\degree

$360\degree$

46.

Vertically Opposite Angles (a)

Choose from the below words

are equal

add to 180

add to 90

add to 360

add to 270

47.

Angles INSIDE a triangle add to (a)

Choose from the below words

$180\degree$

360\degree

270\degree

90\degree

48.

Angles INSIDE a quadrilateral add to (a)

Choose from the below words

$180\degree$

360\degree

270\degree

90\degree

49.

A 2 dimensional shape is

(a)

50.

A 3 dimensional shape is a

(a)

51.

A polygon is a flat shape with (a) sides

Choose from the below words

straight

three

four

curved

diagonal

52.

A polyhedron is a (a) shape with (b) faces

Choose from the below words

3D

flat

2D

curved

round

yellow

53.

A polygon with all equal sides and all equal angles is said to be

(a)

54.

Match the following shapes with their number of sides

a)

Triangle

1.

3 sides

b)

Quadrilateral

2.

4 sides

c)

Pentagon

3.

5 sides

d)

Hexagon

4.

6 sides

e)

Octagon

5.

8 sides

55.

The point where 2 lines meet is known as a (a)

Choose from the below words

vertex

corner

angle

position

edge

side

56.

The plural of vertex is

(a)

57.

Match the following triangles with their mathematical name

a)

1.

Equilateral

b)

2.

Isosceles

c)

3.

Scalene

d)

4.

Right-Angled

58.

Match the following triangles with their mathematical description

a)

3 equal sides

3 equal angles

3 lines of symmetry

Rotational Symmetry order 3

1.

Equilateral

b)

2 equal sides

2 equal angles

1 line of symmetry

No Rotational Symmetry

2.

Isosceles

c)

No equal sides

No equal angles

No lines of symmetry

No Rotational Symmetry

3.

Scalene

d)

Might have 2 equal sides

Might have 2 equal angles

1 right-angle

Might have 1 line of symmetry

No Rotational Symmetry

4.

Right-Angled

59.

Match the following quadrilaterals with their mathematical name

a)

1.

Kite

b)

2.

Rhombus

c)

3.

Parallelogram

d)

4.

Trapezium

60.

Reorder these shapes by their number of sides, starting with the smallest

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

e)

Octagon

1)

2)

3)

4)

5)

61.

How many sides does a quadrilateral have?

a)

3

b)

4

c)

5

d)

6

62.

How many sides does a pentagon have?

a)

3

b)

4

c)

5

d)

6

63.

How many sides does a hexagon have?

a)

4

b)

5

c)

6

d)

7

64.

How many sides does a heptagon have?

a)

6

b)

7

c)

8

d)

9

65.

How many sides does an octagon have?

a)

6

b)

7

c)

8

d)

9

e)

10

66.

How many sides does a decagon have?

a)

8

b)

6

c)

9

d)

10

e)

12

67.

How many sides does a dodecagon have?

68.

Identify the parts of the circle.

a)sector

b)Radius

c)Centre

d)Diameter

e)Arc

f)Segment

g)Chord

1

2

3

4

5

6

7

1)

2)

3)

4)

5)

6)

7)

69.

What is the value of $\pi$ to 2 decimal places?

70.

Match the following words with their definitions.

a)

The distance around the outside of a shape

1.

Perimeter

b)

The amount of space inside a FLAT shape

2.

Area

c)

The amount of space inside a 3D shape

3.

Volume

d)

The mass of a solid per unit volume

4.

Density

e)

The amount of space around the outside of a 3D shape

5.

Surface Area

71.

To calculate the PERIMETER of a shape we (a) up all the sides.

Choose from the below words

add

subtract

multiply

divide

72.

The (a) of a (b) shape can be measured in (c) centimetres.

Choose from the below words

area

2D

square

volume

cube

unit

73.

To find the AREA of a RECTANGLE we (a) the length and breadth

Choose from the below words

multiply

add

subtract

divide

74.

Match the following shapes with their correct area formula

a)

Rectangle

1.

$A=l\times b$

b)

Triangle

2.

$A=\frac{1}{2}\times b\times h$

c)

Square

3.

$A=l^2$

d)

Circle

4.

$A=\pi r^2$

75.

To find the CIRCUMFERENCE of a circle, we (a) pi by the (b)

Choose from the below words

multiply

diameter

area

divide

radius

chord

76.

To find the AREA of a CIRCLE we (a) pi by the (b) squared

Choose from the below words

multiply

radius

divide

diameter

circumference

77.

To find the volume of a cuboid we

a)

Add the length, the breadth and the height

b)

Subtract the length from the breadth and height

c)

Multiply the length by the breadth by the height

78.

The volume of a shape is measured in (a) units

Choose from the below words

cubic

square

triangular

prime

79.

Organize these units into the right categories

Categorize the following

cm

m

km

mm

$cm^2$

$m^2$

$km^2$

$mm^2$

$cm^3$

$m^3$

$km^3$

Length

Area

Volume

80.

How many minutes are there in 1 hour?

81.

How many minutes are there in $\frac{1}{4}$ hour?

82.

How many minutes are there in $\frac{1}{3}$ hour?

83.

How many hours are there in a day?

84.

Match the following 12 hour times with their 24 hour equivalent

a)

3.45am

1.

03:45

b)

3.45pm

2.

15:45

c)

12 noon

3.

12:00

d)

12 midnight

4.

00:00

85.

How long (in minutes) is a journey from 9:45 am to 10:18am?

(a)

86.

Complete the rhyme:

30 days has (a) , (b) , (c) and (d)

all the rest have 31

except for (e) alone.

It has 28 days clear and 29 on each leap year.

Choose from the below words

September

April

June

November

February

July

March

May

87.

The longest side of a right-angled triangle is known as the

(a)

88.

Pythagoras' Theorem states that the (a) of the (b) of a (c) triangle is equal to the (d) of the squares of the (e) .

Choose from the below words

square

hypotenuse

right-angled

sum

other 2 sides

89.

Algebraically, Pythagoras' Theorem

states that $H^2\ =$

90.

Which of theses points show the

co-ordinates (4, 7)

A

B

91.

Which of theses points show the

co-ordinates (5, 0)

A

B

C

92.

Select all the points on the x -axis

A

B

C

D

E

F

93.

Select all the points on the y -axis

A

B

C

D

E

F

94.

Select all the point with co-ordinates (5, -3)

A

B

C

D

E

F

95.

Select all the point with co-ordinates (8, 7)

A

B

C

D

E

96.

Select all the point with co-ordinates (-2, 5)

A

B

C

D

E

97.

Select all the point with co-ordinates (-6, -4)

A

B

C

D

E

98.

Simplify the expression

$2x+3x$

99.

Simplify the expression $x\times x$

100.

What other way can we write the expression $x\div y$

101.

If $a=5$ what is the value of $7a$ ?

102.

If $x=6$ , what is the value of $2x+7$

103.

Solve the equation $3x+4=19$

104.

Solve the equation $5x-2=18$

105.

Categorize the following as a variable, expression, equation or formula

Categorize the following

$t$

$m$

$2x+5$

$5y+2x$

$a^2$

$x^2+3x+4$

$3x=6$

$5x+1=8$

$x^2+3x-4=0$

$a^2=49$

$A=\pi r^2$

$A=l\times b$

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

Variable

Expression

Equation

Formula

106.

Match the following statistical terms with their definitions

a)

Add all the values and divide by how many values there are

1.

Mean

b)

The middle value in a numerically ordered set

2.

Median

c)

The most common data value

3.

Mode

d)

The biggest value -the smallest value

4.

Range

107.

Hey diddle diddle, the median is the (a) , you (b) and (c) for the mean. the mode is the one that appears the (d) and the range is the (e) .

Choose from the below words

middle

add

divide

most

difference between

108.

The MEDIAN of a data set is

a)

The most common value

b)

The middle value of a numerically ordered set

c)

The total of the data values divided by the number of values

d)

The biggest value take away the smallest value

109.

The MEAN of a data set is

a)

The most common value

b)

The middle value of a numerically ordered set

c)

The total of the data values divided by the number of values

d)

The biggest value take away the smallest value

110.

The MODE of a data set is

a)

The most common value

b)

The middle value of a numerically ordered set

c)

The total of the data values divided by the number of values

d)

The biggest value take away the smallest value

111.

The RANGE of a data set is

a)

The most common value

b)

The middle value of a numerically ordered set

c)

The total of the data values divided by the number of values

d)

The biggest value take away the smallest value

112.

Reorder the following probability terms from most to least likely

a)

Certain

b)

Likely

c)

Even Chance

d)

Unlikely

e)

Impossible

1)

2)

3)

4)

5)

113.

Which probability term best describes the phrase below?

"It will rain in November in Northern Ireland"

a)

Certain

b)

Likely

c)

Even Chance

d)

Very Likely

e)

Unlikely

114.

Which probability term best describes the phrase below?

"Christmas Day will be in December"

a)

Certain

b)

Likely

c)

Even Chance

d)

Very Likely

e)

Unlikely

115.

Which probability term best describes the phrase below?

"The next baby born will be a girl"

a)

Certain

b)

Likely

c)

Even Chance

d)

Impossible

e)

Unlikely

116.

Which probability term best describes the phrase below?

"It will snow in Belfast next May"

a)

Certain

b)

Likely

c)

Even Chance

d)

Impossible

e)

Unlikely

117.

Which probability term best describes the phrase below?

"I will select a pencil from a box ONLY containing pens"

a)

Certain

b)

Likely

c)

Even Chance

d)

Impossible

e)

Unlikely

118.

What is the mathematical probability of selecting a red pen from a box containing 3 red pens and 7 black pens?

(answer as a fraction)

119.

What is the mathematical probability of selecting a red pen from a box containing 7 red pens, 4 blue pens and 6 black pens?

(answer as a fraction)

120.

What is the mathematical probability of selecting a red pen from a box containing 7 green pens, 4 blue pens and 6 black pens?

BTC - GCSE Maths Prerequisite Knowledge

Total questions: 120

Worksheet time: 2hrs 13mins

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