Number Sequences 1

What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19

Factors

Find all the factors of:

44

1, 2, 4, 11, 22, 44.

Multiples

Subtract the 4th from the 9th multiples of:

7

35

Polygons

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

Octagon, Nonagon and Decagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 11.68; 11.7
b) 439757; 440000
c) 0.006495; 0.00650

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 13cm, a height of 5cm and a top (parallel to base) of 3cm. 40cm2

Evaluate:

$$\frac{1}{2} + \frac{4}{5}$$ $$= 1\frac{3}{10}$$

Fractions (Multiplying)

Evaluate:

$$\frac{2}{4} × \frac{5}{7}$$ $$= \frac{5}{14}$$

Fractions (Dividing)

Evaluate:

$$\frac{1}{3} ÷ \frac{6}{5}$$ $$= \frac{5}{18}$$

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.

$$\frac{5}{10}$$ $$= 50$$%

Circle Area

Find the area of a circle that has a radius of 8cm. Give your answer to three significant figures.

201cm2

Circle Circumference

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

25.1cm2

Calculate the value of:

3.7 + 2.5

= 6.2

Decimals (Subtracting)

Calculate the value of:

8.2 − 3.6

= 4.6

Decimals (Multiplying)

Calculate the value of:

9.7 × 3.9

= 37.83

Decimals (Dividing)

Calculate the value of:

65.8 ÷ 14

= 4.7

Indices (Simple)

What is the value of:

52

= 25

What is the value of:

50

= 1

Calculate the value of:

47 + 99

= 146

Basic Subtraction

Calculate the value of:

62 − 25

= 37

Basic Multiplication

Calculate the value of:

24 × 53

= 1272

Basic Division 2

Calculate the value of:

912 ÷ 12

= 76

Percentage (Of)

Find the value of:

85% of 200

= 170

Standard Form 1

Find the value of:

9.27 × 104

= 92700

Highest Common Factor

Find the highest common factor of sixteen and eight.

= 8

Times Tables (2-5)

 3 × 2 = 6 6 × 4 = 24 7 × 2 = 14 9 × 4 = 36 5 × 3 = 15 4 × 3 = 12 8 × 3 = 24 2 × 4 = 8

Times Tables (2-12)

 8 × 8 = 64 5 × 2 = 10 7 × 10 = 70 9 × 3 = 27 4 × 6 = 24 3 × 7 = 21 6 × 6 = 36 2 × 11 = 22

Times Tables (2)

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

Times Tables (3)

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

Times Tables (4)

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

Times Tables (5)

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

Times Tables (6)

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

Times Tables (7)

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

Times Tables (8)

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

Times Tables (9)

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

Times Tables (12)

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

Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{24}{36}$$ $$= \frac{2}{3}$$

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find AB if AC = 3m and BC = 4.8m. 3.75m

Trigonometry (Angle)

Find angle BCA if AB = 6m and BC = 7.5m. 53.1o

Trigonometry (Side)

Find BC if angle BCA = 63o and AB = 5.7m. 6.40m

2

2

2

Fraction to Decimal

Convert this fraction to a decimal.

$$\frac{5}{10}$$ $$= 0.5$$

Decimal to Fraction

Convert this decimal to a fraction.

$$0.6$$ = $$\frac{3}{5}$$

Percentage (Increase)

Increase £40 by 5%

£42

Lowest Common Multiple

What is the lowest common multiple of twelve and thirty two.

= 96

Sequence (Arithmetic)

3,11,19,27,35...

Find the:
a) next term; 43
b) nth term; 8n - 5
c) term number 37; 291

Sequence (Geometric)

6,18,54,162,486...

Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 9; 39366

Interest (Simple)

If £100 is invested for 4 years with a simple interest rate of 2%, find the amount of interest earned. £8.00

Interest (Compound)

If £140 is invested with an interest rate of 6% compounded annually, find the value of the investment after 4 years. £176.75

Currency Exchange

If £1 is worth $1.48, convert: a) £120 to dollars;$177.60

b) \$120 to pounds; £81.08

Coordinates (Midpoint)

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

$$(-2,8) \text{ and } (10,16)$$

(4,12)

What is the gradient of the line joining:

$$(-4,-4) \text{ and } (0,-1)$$

$$\frac{3}{4}$$

Coordinates (Square)

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

$$(3,1),(8,5),(-1,6)$$

(4,10)

Negative Numbers

a) 11 − 21 = -10
b) 11 × (-11) = -121
c) (8−13)(9−17) = 40
d) 121 ÷ (-11) = -11
e) (-12)2 = 144

Substitution

If p = 5, q = 26 and
r = -6 evaluate:

a) 2q − p = 47
b) pq + r = 124
c) p2 − 5q - r = -99

Equations (Type 1)

Solve:

$$2x = 14$$

$$x = 7$$

Equations (Type 2)

Solve:

$$3x +6= 18$$

$$x = 4$$

Equations (Type 3)

Solve:

$$7x -4= 5x + 12$$

$$x = 8$$

Equations (Type 4)

Solve:

$$2(4x -3)+8= 50$$

$$x = 6$$

Equations (Type 5)

Solve:

$$3(2x + 2)= 2(5x + 4)$$

$$x = -0.5$$

Equations (Simultaneous 1)

Solve:

$$4x+2y = 16$$
$$2x-2y = 2$$

$$x = 3, y = 2$$

Equations (Simultaneous 2)

Solve:

$$3x-3y = -12$$
$$2x+12y = 76$$

$$x = 2, y = 6$$

Equations (Simultaneous 3)

Solve:

$$3x-5y = 12$$
$$4x-2y = 23$$

$$x = 6.5, y = 1.5$$

Sets (Union)

Find the union of:

{6,7,8,9,10} and
{1,3,6,10,15}

{1,3,6,7,8,9,10,15}

Sets (Intersection)

Find the intersection of:

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

Bearings

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

Probability

A number is picked at random from the set

{1,3,6,10,15}

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

Evaluate:

30 ÷ 5 × 30 ÷ 6

30

Simplify

Simplify the following by collecting like terms:

$$3y+2w+7y$$

$$10y+2w$$

Ratio

Divide 39 in the ratio

2:1

26 and 13

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:

41

41

Percentage (Reverse)

In a sale an item costs £52 after a 35% reduction. What was the original price?

£80

Averages

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

2,6,12,6,14

Mean = 8, mode = 6,
median = 6 and range = 12

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.

0.525252... $$\frac{52}{99}$$

Percentage (Decrease)

Decrease £80 by 15%

£68

Brackets (Linear)

Expand:

$$2(4x-9)$$

$$8x-18$$

Expand:

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

$$8x^2+4x-12$$

Factorise (Linear)

Factorise:

$$18x-6$$

$$6(3x-1)$$

Factorise:

$$x^2-x-2$$

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

Factorise:

$$3x^2-8x-3$$

$$(3x+1)(x-3)$$

Which theorem?

Standard Form 2

Find the value of:

2.33 × 10-4

= 0.000233

Standard Form 3

Write in standard form:

185

= 1.85 × 102

Standard Form 4

Write in standard form:

0.000842

= 8.42 × 10-4

Find the nth term:

$$7, 13, 21, 31, 43,$$

$$n^2+3n+3$$

Standard Form 5

Multiply 5 × 106
by 5 × 103 and give the answer in standard form.

= 2.5 × 1010

Solve:

$$x^2+2x-8= 0$$

$$x = 2$$ and $$-4$$

Solve this equation giving the solutions to 3 significant figures:

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

$$x = 0.569$$ and $$-1.32$$

Polygon Angles

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

45°

Change The Subject

Make $$a$$ the subject of the formula
$$b=2a-3$$

$$a=\frac{b+3}{2}$$

Basic Division 1

Calculate the value of:

3801 ÷ 7

= 543

Number Sequences 2

What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5

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