 Number Sequences 1

What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23

Factors

Find all the factors of:

47

1, 47.

Multiples

Subtract the 4th from the 7th multiples of:

12

36

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) 33.64; 33.6
b) 914610; 915000
c) 0.005895; 0.00590

Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 8cm.

16cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 13cm, a height of 12cm and a top (parallel to base) of 7cm. 120cm2

Evaluate:

$$\frac{3}{5} + \frac{6}{9}$$ $$= 1\frac{4}{15}$$

Fractions (Multiplying)

Evaluate:

$$\frac{2}{4} × \frac{5}{6}$$ $$= \frac{5}{12}$$

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.

$$\frac{3}{5}$$ $$= 60$$%

Circle Area

Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.

3.14cm2

Circle Circumference

Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.

44.0cm2

Calculate the value of:

3.6 + 7.4

= 11

Decimals (Subtracting)

Calculate the value of:

5.2 − 2.6

= 2.6

Decimals (Multiplying)

Calculate the value of:

2.2 × 4.7

= 10.34

Decimals (Dividing)

Calculate the value of:

93.5 ÷ 17

= 5.5

Indices (Simple)

What is the value of:

52

= 25

What is the value of:

3-3

= 0.037037037037037

Calculate the value of:

86 + 74

= 160

Basic Subtraction

Calculate the value of:

54 − 29

= 25

Basic Multiplication

Calculate the value of:

57 × 65

= 3705

Basic Division 2

Calculate the value of:

576 ÷ 12

= 48

Percentage (Of)

Find the value of:

5% of 140

= 7

Standard Form 1

Find the value of:

7.14 × 105

= 714000

Highest Common Factor

Find the highest common factor of forty five and fifteen.

= 15

Times Tables (2-5)

 5 × 2 = 10 6 × 4 = 24 3 × 3 = 9 9 × 3 = 27 7 × 2 = 14 4 × 5 = 20 8 × 5 = 40 2 × 4 = 8

Times Tables (2-12)

 4 × 12 = 48 9 × 12 = 108 5 × 6 = 30 6 × 5 = 30 7 × 8 = 56 3 × 6 = 18 8 × 6 = 48 2 × 8 = 16

Times Tables (2)

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

Times Tables (3)

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

Times Tables (4)

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

Times Tables (5)

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

Times Tables (6)

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

Times Tables (7)

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

Times Tables (8)

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

Times Tables (9)

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

Times Tables (12)

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

Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{8}{32}$$ $$= \frac{1}{4}$$

Fractions (Mixed)

Evaluate:

$$2\frac{2}{3} − \frac{5}{6}$$ $$= 1\frac{5}{6}$$

Pythagoras

Find BC if AB = 5.4m and AC = 6.8m. 8.68m

Trigonometry (Angle)

Find angle BCA if AC = 3.8m and BC = 5.8m. 49.1o

Trigonometry (Side)

Find BC if angle BCA = 62o and AC = 4.5m. 9.59m

2

2

2

Fraction to Decimal

Convert this fraction to a decimal.

$$\frac{1}{2}$$ $$= 0.5$$

Decimal to Fraction

Convert this decimal to a fraction.

$$0.77$$ = $$\frac{77}{100}$$

Percentage (Increase)

Increase £140 by 35%

£189

Lowest Common Multiple

What is the lowest common multiple of eight and fourteen.

= 56

Sequence (Arithmetic)

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

Find the:
a) next term; 50
b) nth term; 9n - 4
c) term number 35; 311

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 £160 is invested for 5 years with a simple interest rate of 6%, find the amount of interest earned. £48.00

Interest (Compound)

If £180 is invested with an interest rate of 4% compounded annually, find the value of the investment after 5 years. £219.00

Currency Exchange

If £1 is worth $1.45, convert: a) £200 to dollars;$290.00

b) \$220 to pounds; £137.93

Coordinates (Midpoint)

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

$$(0,3) \text{ and } (10,13)$$

(5,8)

What is the gradient of the line joining:

$$(7,-8) \text{ and } (11,-2)$$

$$\frac{3}{2}$$

Coordinates (Square)

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

$$(4,5),(10,8),(1,11)$$

(7,14)

Negative Numbers

a) 12 − 23 = -11
b) 12 × (-10) = -120
c) (9−17)(7−13) = 48
d) 120 ÷ (-10) = -12
e) (-5)2 = 25

Substitution

If p = 5, q = 29 and
r = -8 evaluate:

a) 2q − p = 53
b) pq + r = 137
c) p2 − 5q - r = -112

Equations (Type 1)

Solve:

$$3x = 15$$

$$x = 5$$

Equations (Type 2)

Solve:

$$4x +9= 29$$

$$x = 5$$

Equations (Type 3)

Solve:

$$4x +3= 2x + 9$$

$$x = 3$$

Equations (Type 4)

Solve:

$$4(2x -4)-9= 15$$

$$x = 5$$

Equations (Type 5)

Solve:

$$5(2x + 4)= 4(5x + 5)$$

$$x = 0$$

Equations (Simultaneous 1)

Solve:

$$2x-4y = -6$$
$$3x-4y = 1$$

$$x = 7, y = 5$$

Equations (Simultaneous 2)

Solve:

$$5x+5y = 30$$
$$5x+20y = 60$$

$$x = 4, y = 2$$

Equations (Simultaneous 3)

Solve:

$$6x-2y = -10$$
$$7x-7y = 14$$

$$x = -3.5, y = -5.5$$

Sets (Union)

Find the union of:

{1,3,5,7,9} and
{2,6,12}

{1,2,3,5,6,7,9,12}

Sets (Intersection)

Find the intersection of:

{1,2,3,4,5} and
{6,7,8,9,10}

Bearings

A plane flies from point A to point B on a bearing of 346o. What bearing would it return on from B to A? 166o

Probability

A number is picked at random from the set

{2,4,6,8,10}

what is the probability it is even? 1

Evaluate:

28 ÷ 7 × 42 ÷ 6

28

Simplify

Simplify the following by collecting like terms:

$$2y+2y^2-5y+y^2$$

$$3y^2-3y$$

Ratio

Divide 105 in the ratio

8:7

56 and 49

Graph (Linear)

Draw a rough sketch of the graph of:

$$y=x-2$$

y intercept -2

Prime Factors

Express the following number as the product of prime numbers:

45

3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £48 after a 20% reduction. What was the original price?

£60

Averages

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

1,2,3,4,5

Mean = 3, no mode,
median = 3 and range = 4

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.

0.929292... $$\frac{92}{99}$$

Percentage (Decrease)

Decrease £80 by 40%

£48

Brackets (Linear)

Expand:

$$2(2x-8)$$

$$4x-16$$

Expand:

$$(x+1)(4x-2)$$

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

Factorise (Linear)

Factorise:

$$27x-24$$

$$3(9x-8)$$

Factorise:

$$x^2-2x-8$$

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

Factorise:

$$5x^2+7x-6$$

$$(x+2)(5x-3)$$

Circle Theorems

Which theorem?  Standard Form 2

Find the value of:

7.74 × 10-5

= 0.0000774

Standard Form 3

Write in standard form:

8840

= 8.84 × 103

Standard Form 4

Write in standard form:

0.000743

= 7.43 × 10-4

Find the nth term:

$$0, 10, 24, 42, 64,$$

$$2n^2+4n-6$$

Standard Form 5

Multiply 9 × 103
by 9 × 104 and give the answer in standard form.

= 8.1 × 108

Solve:

$$x^2+x-12= 0$$

$$x = 3$$ and $$-4$$

Solve this equation giving the solutions to 3 significant figures:

$$4x^2-5x-4 = 0$$

$$x = 1.80$$ and $$-0.554$$

Polygon Angles

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

60° Change The Subject

Make $$b$$ the subject of the formula
$$c=3b-5$$

$$b=\frac{c+5}{3}$$

Basic Division 1

Calculate the value of:

4068 ÷ 6

= 678

Number Sequences 2

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

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