 Number Sequences 1

What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29

Factors

Find all the factors of:

32

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

Multiples

Subtract the 4th from the 9th multiples of:

5

25

Polygons

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

Heptagon, Octagon and Nonagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 13.52; 13.5
b) 392339; 392000
c) 0.002395; 0.00240

Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 10cm.

35cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 12cm, a height of 8cm and a top (parallel to base) of 4cm. 64cm2

Evaluate:

$$\frac{2}{3} + \frac{6}{7}$$ $$= 1\frac{11}{21}$$

Fractions (Multiplying)

Evaluate:

$$\frac{2}{4} × \frac{6}{8}$$ $$= \frac{3}{8}$$

Fractions (Dividing)

Evaluate:

$$\frac{1}{2} ÷ \frac{6}{4}$$ $$= \frac{1}{3}$$

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 to 3 significant figures.

$$\frac{5}{6}$$ $$= 83.3$$%

Circle Area

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

50.3cm2

Circle Circumference

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

18.8cm2

Calculate the value of:

7.5 + 8.9

= 16.4

Decimals (Subtracting)

Calculate the value of:

5.4 − 3.5

= 1.9

Decimals (Multiplying)

Calculate the value of:

5.3 × 5.5

= 29.15

Decimals (Dividing)

Calculate the value of:

62.9 ÷ 17

= 3.7

Indices (Simple)

What is the value of:

43

= 64

What is the value of:

3-2

= 0.111111111111111

Calculate the value of:

98 + 86

= 184

Basic Subtraction

Calculate the value of:

62 − 27

= 35

Basic Multiplication

Calculate the value of:

48 × 79

= 3792

Basic Division 2

Calculate the value of:

1748 ÷ 19

= 92

Percentage (Of)

Find the value of:

10% of 80

= 8

Standard Form 1

Find the value of:

8.52 × 102

= 852

Highest Common Factor

Find the highest common factor of fourteen and ten.

= 2

Times Tables (2-5)

 6 × 2 = 12 3 × 2 = 6 5 × 4 = 20 8 × 5 = 40 9 × 4 = 36 7 × 4 = 28 4 × 3 = 12 2 × 3 = 6

Times Tables (2-12)

 7 × 12 = 84 9 × 12 = 108 3 × 8 = 24 6 × 8 = 48 8 × 8 = 64 4 × 10 = 40 5 × 10 = 50 2 × 10 = 20

Times Tables (2)

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

Times Tables (3)

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

Times Tables (4)

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

Times Tables (5)

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

Times Tables (6)

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

Times Tables (7)

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

Times Tables (8)

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

Times Tables (9)

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

Times Tables (12)

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

Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{12}{30}$$ $$= \frac{2}{5}$$

Fractions (Mixed)

Evaluate:

$$1\frac{2}{3} − \frac{4}{5}$$ $$= \frac{13}{15}$$

Pythagoras

Find AC if AB = 5.3m and BC = 6.8m. 4.26m

Trigonometry (Angle)

Find angle BCA if AC = 5.6m and BC = 7.4m. 40.8o

Trigonometry (Side)

Find AB if angle ABC = 46o and BC = 4.8m. 3.33m

2

2

2

Fraction to Decimal

Convert this fraction to a decimal.

$$\frac{3}{8}$$ $$= 0.375$$

Decimal to Fraction

Convert this decimal to a fraction.

$$0.91$$ = $$\frac{91}{100}$$

Percentage (Increase)

Increase £160 by 45%

£232

Lowest Common Multiple

What is the lowest common multiple of sixteen and twenty.

= 80

Sequence (Arithmetic)

5,14,23,32,41...

Find the:
a) next term; 50
b) nth term; 9n - 4
c) term number 42; 374

Sequence (Geometric)

5,20,80,320,1280...

Find the:
a) next term; 5120
b) nth term; 5 × 4n-1
c) term number 8; 81920

Interest (Simple)

If £240 is invested for 4 years with a simple interest rate of 5%, find the amount of interest earned. £48.00

Interest (Compound)

If £120 is invested with an interest rate of 6% compounded annually, find the value of the investment after 5 years. £160.59

Currency Exchange

If £1 is worth $1.48, convert: a) £100 to dollars;$148.00

b) \$140 to pounds; £67.57

Coordinates (Midpoint)

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

$$(-3,-1) \text{ and } (5,11)$$

(1,5)

What is the gradient of the line joining:

$$(2,3) \text{ and } (5,6)$$

1

Coordinates (Square)

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

$$(2,5),(8,9),(-2,11)$$

(4,15)

Negative Numbers

a) 10 − 18 = -8
b) 10 × (-9) = -90
c) (8−13)(11−21) = 50
d) 90 ÷ (-9) = -10
e) (-7)2 = 49

Substitution

If p = 6, q = 23 and
r = -7 evaluate:

a) 2q − p = 40
b) pq + r = 131
c) p2 − 5q - r = -72

Equations (Type 1)

Solve:

$$5x = 25$$

$$x = 5$$

Equations (Type 2)

Solve:

$$3x +2= 20$$

$$x = 6$$

Equations (Type 3)

Solve:

$$9x +2= 5x + 30$$

$$x = 7$$

Equations (Type 4)

Solve:

$$4(3x -2)+8= 60$$

$$x = 5$$

Equations (Type 5)

Solve:

$$5(3x + 3)= 4(4x + 3)$$

$$x = 3$$

Equations (Simultaneous 1)

Solve:

$$3x-2y = 11$$
$$2x+2y = 24$$

$$x = 7, y = 5$$

Equations (Simultaneous 2)

Solve:

$$5x-3y = 11$$
$$4x+6y = 34$$

$$x = 4, y = 3$$

Equations (Simultaneous 3)

Solve:

$$4x+2y = 10$$
$$3x+4y = -12.5$$

$$x = 6.5, y = -8$$

Sets (Union)

Find the union of:

{6,7,8,9,10} and
{3,4,5,6,7,8}

{3,4,5,6,7,8,9,10}

Sets (Intersection)

Find the intersection of:

{6,7,8,9,10} and
{3,4,5,6,7,8}

{6,7,8}

Bearings

A plane flies from point A to point B on a bearing of 048o. What bearing would it return on from B to A? 228o

Probability

A number is picked at random from the set

{5,6,7,8,9,10}

what is the probability it is even? $$\frac12$$

Evaluate:

5 + (9 × 32 − 2)

84

Simplify

Simplify the following by collecting like terms:

$$3n+7−2n+8$$

$$n+15$$

Ratio

Divide 180 in the ratio

7:8

84 and 96

Graph (Linear)

Draw a rough sketch of the graph of:

$$y=x$$

y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

46

2 x 23

Percentage (Reverse)

In a sale an item costs £70 after a 30% reduction. What was the original price?

£100

Averages

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

5,8,8,6,7,8

Mean = 7, mode = 8,
median = 7.5 and range = 3

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.

0.686868... $$\frac{68}{99}$$

Percentage (Decrease)

Decrease £120 by 25%

£90

Brackets (Linear)

Expand:

$$9(4x-2)$$

$$36x-18$$

Expand:

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

$$4x^2+9x-9$$

Factorise (Linear)

Factorise:

$$14x-12$$

$$2(7x-6)$$

Factorise:

$$x^2-x-2$$

$$(x+1)(x-2)$$

Factorise:

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

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

Circle Theorems

Which theorem?  Standard Form 2

Find the value of:

3.85 × 10-3

= 0.00385

Standard Form 3

Write in standard form:

436000

= 4.36 × 105

Standard Form 4

Write in standard form:

0.0214

= 2.14 × 10-2

Find the nth term:

$$15, 26, 41, 60, 83,$$

$$2n^2+5n+8$$

Standard Form 5

Multiply 8 × 102
by 5 × 106 and give the answer in standard form.

= 4 × 109

Solve:

$$x^2-x-6= 0$$

$$x = 3$$ and $$-2$$

Solve this equation giving the solutions to 3 significant figures:

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

$$x = 1.62$$ and $$-0.618$$

Polygon Angles

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

120° Change The Subject

Make $$g$$ the subject of the formula
$$e=\frac{g}{h}+d$$

$$g=h(e-d)$$

Basic Division 1

Calculate the value of:

4086 ÷ 6

= 681

Number Sequences 2

What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21

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