Number Sequences 1

What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11

Factors

Find all the factors of:

40

1, 2, 4, 5, 8, 10, 20, 40.

Multiples

Subtract the 5th from the 10th multiples of:

7

35

Polygons

What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.

Pentagon, Hexagon and Heptagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 15.81; 15.8
b) 680628; 681000
c) 0.001395; 0.00140

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 10cm.

30cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 16cm, a height of 11cm and a top (parallel to base) of 6cm. 121cm2

Fractions (Adding)

Evaluate:

$$\frac{2}{4} + \frac{5}{7}$$ $$= 1\frac{3}{14}$$

Fractions (Multiplying)

Evaluate:

$$\frac{3}{4} × \frac{6}{7}$$ $$= \frac{9}{14}$$

Fractions (Dividing)

Evaluate:

$$\frac{3}{5} ÷ \frac{8}{7}$$ $$= \frac{21}{40}$$

Circle (Vocabulary)

Name the red part.

Venn Diagrams

Describe the red region.

Shape Formulas

What is the formula?

What is it?

Fraction to Percentage

Convert this fraction to a percentage.

$$\frac{2}{4}$$ $$= 50$$%

Circle Area

Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.

28.3cm2

Circle Circumference

Find the circumference of a circle that has a radius of 4cm. Give your answer to three significant figures.

25.1cm2

Decimals (Adding)

Calculate the value of:

9.8 + 9.5

= 19.3

Decimals (Subtracting)

Calculate the value of:

9.4 − 2.5

= 6.9

Decimals (Multiplying)

Calculate the value of:

7.2 × 4.8

= 34.56

Decimals (Dividing)

Calculate the value of:

121.8 ÷ 14

= 8.7

Indices (Simple)

What is the value of:

43

= 64

Indices (Advanced)

What is the value of:

20

= 1

Basic Addition

Calculate the value of:

86 + 26

= 112

Basic Subtraction

Calculate the value of:

93 − 25

= 68

Basic Multiplication

Calculate the value of:

73 × 44

= 3212

Basic Division 2

Calculate the value of:

1870 ÷ 22

= 85

Percentage (Of)

Find the value of:

70% of 140

= 98

Standard Form 1

Find the value of:

4.01 × 104

= 40100

Highest Common Factor

Find the highest common factor of twenty one and fifteen.

= 3

Times Tables (2-5)

 9 × 4 = 36 3 × 5 = 15 4 × 2 = 8 7 × 4 = 28 6 × 3 = 18 8 × 2 = 16 5 × 4 = 20 2 × 3 = 6

Times Tables (2-12)

 3 × 5 = 15 6 × 6 = 36 7 × 2 = 14 8 × 5 = 40 5 × 5 = 25 4 × 12 = 48 9 × 2 = 18 2 × 10 = 20

Times Tables (2)

 7 × 2 = 14 9 × 2 = 18 5 × 2 = 10 3 × 2 = 6 6 × 2 = 12 8 × 2 = 16 4 × 2 = 8 2 × 2 = 4

Times Tables (3)

 6 × 3 = 18 7 × 3 = 21 3 × 3 = 9 9 × 3 = 27 4 × 3 = 12 5 × 3 = 15 8 × 3 = 24 2 × 3 = 6

Times Tables (4)

 8 × 4 = 32 3 × 4 = 12 4 × 4 = 16 6 × 4 = 24 9 × 4 = 36 7 × 4 = 28 5 × 4 = 20 2 × 4 = 8

Times Tables (5)

 8 × 5 = 40 7 × 5 = 35 5 × 5 = 25 3 × 5 = 15 4 × 5 = 20 9 × 5 = 45 6 × 5 = 30 2 × 5 = 10

Times Tables (6)

 3 × 6 = 18 4 × 6 = 24 7 × 6 = 42 9 × 6 = 54 5 × 6 = 30 8 × 6 = 48 6 × 6 = 36 2 × 6 = 12

Times Tables (7)

 4 × 7 = 28 8 × 7 = 56 9 × 7 = 63 7 × 7 = 49 6 × 7 = 42 3 × 7 = 21 5 × 7 = 35 2 × 7 = 14

Times Tables (8)

 8 × 8 = 64 4 × 8 = 32 6 × 8 = 48 3 × 8 = 24 9 × 8 = 72 5 × 8 = 40 7 × 8 = 56 2 × 8 = 16

Times Tables (9)

 3 × 9 = 27 6 × 9 = 54 4 × 9 = 36 7 × 9 = 63 5 × 9 = 45 8 × 9 = 72 9 × 9 = 81 2 × 9 = 18

Times Tables (12)

 4 × 12 = 48 5 × 12 = 60 9 × 12 = 108 3 × 12 = 36 6 × 12 = 72 8 × 12 = 96 7 × 12 = 84 2 × 12 = 24

Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{15}{18}$$ $$= \frac{5}{6}$$

Fractions (Mixed)

Evaluate:

$$1\frac{3}{4} − \frac{5}{6}$$ $$= \frac{11}{12}$$

Pythagoras

Find AB if AC = 3.6m and BC = 4.9m. 3.32m

Trigonometry (Angle)

Find angle BCA if AC = 4.5m and BC = 6.2m. 43.5o

Trigonometry (Side)

Find AC if angle ABC = 34o and AB = 4.8m. 3.24m

Roman Numerals (1-12)

Give your answer in Roman numerals.

2

Roman Numerals (60-100)

Give your answer in Roman numerals.

2

Roman Numerals (Large)

Give your answer in Roman numerals.

2

Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$$\frac{2}{6}$$ $$= 0.333$$

Decimal to Fraction

Convert this decimal to a fraction.

$$0.96$$ = $$\frac{24}{25}$$

Percentage (Increase)

Increase £180 by 20%

£216

Lowest Common Multiple

What is the lowest common multiple of eight and ten.

= 40

Sequence (Arithmetic)

7,20,33,46,59...

Find the:
a) next term; 72
b) nth term; 13n - 6
c) term number 56; 722

Sequence (Geometric)

4,8,16,32,64...

Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 8; 512

Interest (Simple)

If £180 is invested for 6 years with a simple interest rate of 3%, find the amount of interest earned. £32.40

Interest (Compound)

If £160 is invested with an interest rate of 4% compounded annually, find the value of the investment after 8 years. £218.97

Currency Exchange

If £1 is worth $1.47, convert: a) £240 to dollars;$352.80

b) \$200 to pounds; £163.27

Coordinates (Midpoint)

What are the coordinates of the midpoint of the line joining:

$$(4,0) \text{ and } (16,12)$$

(10,6)

Gradient

What is the gradient of the line joining:

$$(3,-2) \text{ and } (7,2)$$

1

Coordinates (Square)

Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?

$$(3,5),(9,9),(-1,11)$$

(5,15)

Negative Numbers

a) 6 − 11 = -5
b) 6 × (-8) = -48
c) (7−18)(9−14) = 55
d) 48 ÷ (-8) = -6
e) (-8)2 = 64

Substitution

If p = 5, q = 16 and
r = -6 evaluate:

a) 2q − p = 27
b) pq + r = 74
c) p2 − 5q - r = -49

Equations (Type 1)

Solve:

$$3x = 24$$

$$x = 8$$

Equations (Type 2)

Solve:

$$5x -2= 23$$

$$x = 5$$

Equations (Type 3)

Solve:

$$4x +3= 3x + 8$$

$$x = 5$$

Equations (Type 4)

Solve:

$$5(3x -2)+7= 102$$

$$x = 7$$

Equations (Type 5)

Solve:

$$4(3x + 4)= 3(2x + 3)$$

$$x = -1.17 \text{(to 3 sf)}$$

Equations (Simultaneous 1)

Solve:

$$6x+2y = 40$$
$$5x-2y = 26$$

$$x = 6, y = 2$$

Equations (Simultaneous 2)

Solve:

$$5x+3y = 30$$
$$5x-9y = -30$$

$$x = 3, y = 5$$

Equations (Simultaneous 3)

Solve:

$$7x-6y = -41$$
$$2x+2y = 5$$

$$x = -2, y = 4.5$$

Sets (Union)

Find the union of:

{5,6,7,8,9,10} and
{2,3,5,7,11,13}

{2,3,5,6,7,8,9,10,11,13}

Sets (Intersection)

Find the intersection of:

{1,3,5,7,9} and
{3,4,5,6,7,8}

{3,5,7}

Bearings

A plane flies from point A to point B on a bearing of 101o. What bearing would it return on from B to A? 281o

Probability

A number is picked at random from the set

{1,3,6,10,15}

what is the probability it is even? $$\frac25$$

BIDMAS

Evaluate:

(15 − 7)2 + 5 × 8

104

Simplify

Simplify the following by collecting like terms:

$$b+4c-7b+4c$$

$$8c-6b$$

Ratio

Divide 144 in the ratio

4:8

48 and 96

Graph (Linear)

Draw a rough sketch of the graph of:

$$y=-x$$

Gradient -1
y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

28

2 x 2 x 7

Percentage (Reverse)

In a sale an item costs £77 after a 45% reduction. What was the original price?

£140

Averages

Find the mean, mode, median and range of the following:

1,3,1,10,5

Mean = 4, mode = 1,
median = 3 and range = 9

Time (Analogue)

What time is this?

Time (Digital)

Sketch a clock face:

Decimals (Recurring)

Write the following recurring decimal as a fraction in its lowest terms.

0.515151... $$\frac{17}{33}$$

Percentage (Decrease)

Decrease £80 by 5%

£76

Brackets (Linear)

Expand:

$$6(4x-4)$$

$$24x-24$$

Brackets (Quadratic)

Expand:

$$(2x+4)(x-2)$$

$$2x^2-8$$

Factorise (Linear)

Factorise:

$$12x-12$$

$$6(2x-2)$$

Factorise (Quadratic 1)

Factorise:

$$x^2-9$$

$$(x+3)(x-3)$$

Factorise (Quadratic 2)

Factorise:

$$2x^2+5x-12$$

$$(x+4)(2x-3)$$

Which theorem?

Standard Form 2

Find the value of:

5.04 × 10-5

= 0.0000504

Standard Form 3

Write in standard form:

703000

= 7.03 × 105

Standard Form 4

Write in standard form:

0.0697

= 6.97 × 10-2

Sequence (Quadratic)

Find the nth term:

$$10, 25, 46, 73, 106,$$

$$3n^2+6n+1$$

Standard Form 5

Multiply 5 × 102
by 6 × 104 and give the answer in standard form.

= 3 × 107

Equations (Quadratic 1)

Solve:

$$x^2-x-30= 0$$

$$x = 6$$ and $$-5$$

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

$$5x^2-2x-5 = 0$$

$$x = 1.22$$ and $$-0.820$$

Polygon Angles

What is the size of each exterior angle of a regular hexagon?

60°

Change The Subject

Make $$e$$ the subject of the formula
$$f=g(e+h)$$

$$e=\frac{f}{g}-h$$

Basic Division 1

Calculate the value of:

3440 ÷ 5

= 688

Number Sequences 2

What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55

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