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:

22

1, 2, 11, 22.

Multiples

Subtract the 5th from the 8th multiples of:

5

15

Polygons

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

Hexagon, Heptagon and Octagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 25.88; 25.9
b) 272168; 272000
c) 0.002095; 0.00210

Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 7cm.

14cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 11cm, a height of 10cm and a top (parallel to base) of 5cm. 80cm2

Fractions (Adding)

Evaluate:

$$\frac{2}{5} + \frac{8}{9}$$ $$= 1\frac{13}{45}$$

Fractions (Multiplying)

Evaluate:

$$\frac{1}{3} × \frac{4}{5}$$ $$= \frac{4}{15}$$

Fractions (Dividing)

Evaluate:

$$\frac{1}{2} ÷ \frac{5}{4}$$ $$= \frac{2}{5}$$

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 12cm. Give your answer to three significant figures.

452cm2

Circle Circumference

Find the circumference of a circle that has a radius of 6cm. Give your answer to three significant figures.

37.7cm2

Decimals (Adding)

Calculate the value of:

2.8 + 3.4

= 6.2

Decimals (Subtracting)

Calculate the value of:

7.3 − 4.8

= 2.5

Decimals (Multiplying)

Calculate the value of:

6.5 × 9.2

= 59.8

Decimals (Dividing)

Calculate the value of:

58.5 ÷ 13

= 4.5

Indices (Simple)

What is the value of:

22

= 4

Indices (Advanced)

What is the value of:

30

= 1

Basic Addition

Calculate the value of:

79 + 55

= 134

Basic Subtraction

Calculate the value of:

71 − 29

= 42

Basic Multiplication

Calculate the value of:

64 × 46

= 2944

Basic Division 2

Calculate the value of:

868 ÷ 14

= 62

Percentage (Of)

Find the value of:

45% of 100

= 45

Standard Form 1

Find the value of:

5.79 × 105

= 579000

Highest Common Factor

Find the highest common factor of forty and fifteen.

= 5

Times Tables (2-5)

 9 × 5 = 45 3 × 3 = 9 5 × 5 = 25 6 × 2 = 12 8 × 5 = 40 4 × 4 = 16 7 × 5 = 35 2 × 4 = 8

Times Tables (2-12)

 5 × 8 = 40 7 × 6 = 42 8 × 5 = 40 3 × 4 = 12 9 × 5 = 45 6 × 11 = 66 4 × 8 = 32 2 × 4 = 8

Times Tables (2)

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

Times Tables (3)

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

Times Tables (4)

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

Times Tables (5)

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

Times Tables (6)

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

Times Tables (7)

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

Times Tables (8)

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

Times Tables (9)

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

Times Tables (12)

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

Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{10}{25}$$ $$= \frac{2}{5}$$

Fractions (Mixed)

Evaluate:

$$2\frac{1}{2} − \frac{3}{4}$$ $$= 1\frac{3}{4}$$

Pythagoras

Find AC if AB = 4.9m and BC = 6m. 3.46m

Trigonometry (Angle)

Find angle BCA if AC = 4.7m and BC = 6.6m. 44.6o

Trigonometry (Side)

Find BC if angle BCA = 33o and AB = 3.4m. 6.24m

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.

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

Decimal to Fraction

Convert this decimal to a fraction.

$$0.69$$ = $$\frac{69}{100}$$

Percentage (Increase)

Increase £180 by 25%

£225

Lowest Common Multiple

What is the lowest common multiple of eight and twenty eight.

= 56

Sequence (Arithmetic)

6,14,22,30,38...

Find the:
a) next term; 46
b) nth term; 8n - 2
c) term number 43; 342

Sequence (Geometric)

5,15,45,135,405...

Find the:
a) next term; 1215
b) nth term; 5 × 3n-1
c) term number 12; 885735

Interest (Simple)

If £200 is invested for 5 years with a simple interest rate of 1%, find the amount of interest earned. £10.00

Interest (Compound)

If £200 is invested with an interest rate of 3% compounded annually, find the value of the investment after 4 years. £225.10

Currency Exchange

If £1 is worth $1.43, convert: a) £220 to dollars;$314.60

b) \$140 to pounds; £153.85

Coordinates (Midpoint)

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

$$(6,2) \text{ and } (12,10)$$

(9,6)

Gradient

What is the gradient of the line joining:

$$(7,-2) \text{ and } (10,1)$$

1

Coordinates (Square)

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

$$(5,5),(10,8),(2,10)$$

(7,13)

Negative Numbers

a) 7 − 19 = -12
b) 7 × (-5) = -35
c) (5−16)(5−10) = 55
d) 35 ÷ (-5) = -7
e) (-9)2 = 81

Substitution

If p = 5, q = 24 and
r = -11 evaluate:

a) 2q − p = 43
b) pq + r = 109
c) p2 − 5q - r = -84

Equations (Type 1)

Solve:

$$5x = 10$$

$$x = 2$$

Equations (Type 2)

Solve:

$$4x -3= 13$$

$$x = 4$$

Equations (Type 3)

Solve:

$$9x +3= 5x + 23$$

$$x = 5$$

Equations (Type 4)

Solve:

$$5(4x +2)-5= 85$$

$$x = 4$$

Equations (Type 5)

Solve:

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

$$x = -0.375$$

Equations (Simultaneous 1)

Solve:

$$3x-4y = -6$$
$$5x-4y = 6$$

$$x = 6, y = 6$$

Equations (Simultaneous 2)

Solve:

$$3x+5y = 37$$
$$4x-10y = -34$$

$$x = 4, y = 5$$

Equations (Simultaneous 3)

Solve:

$$6x+2y = 12$$
$$3x-5y = 51$$

$$x = 4.5, y = -7.5$$

Sets (Union)

Find the union of:

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

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

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 263o. What bearing would it return on from B to A? 083o

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:

22 − 5 × 2 + 4

-2

Simplify

Simplify the following by collecting like terms:

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

$$10y+2w$$

Ratio

Divide 110 in the ratio

4:7

40 and 70

Graph (Linear)

Draw a rough sketch of the graph of:

$$y=x+1$$

Gradient 1
y intercept 1

Prime Factors

Express the following number as the product of prime numbers:

47

47

Percentage (Reverse)

In a sale an item costs £95 after a 5% reduction. What was the original price?

£100

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.

0.383838... $$\frac{38}{99}$$

Percentage (Decrease)

Decrease £80 by 25%

£60

Brackets (Linear)

Expand:

$$2(6x-6)$$

$$12x-12$$

Brackets (Quadratic)

Expand:

$$(x+1)(2x-3)$$

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

Factorise (Linear)

Factorise:

$$24x-40$$

$$8(3x-5)$$

Factorise (Quadratic 1)

Factorise:

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

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

Factorise (Quadratic 2)

Factorise:

$$3x^2-4x-4$$

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

Which theorem?

Standard Form 2

Find the value of:

4.55 × 10-2

= 0.0455

Standard Form 3

Write in standard form:

7360

= 7.36 × 103

Standard Form 4

Write in standard form:

0.0803

= 8.03 × 10-2

Sequence (Quadratic)

Find the nth term:

$$9, 15, 23, 33, 45,$$

$$n^2+3n+5$$

Standard Form 5

Multiply 5 × 105
by 4 × 106 and give the answer in standard form.

= 2 × 1012

Equations (Quadratic 1)

Solve:

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

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

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

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

$$x = 0.525$$ and $$-1.52$$

Polygon Angles

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

40°

Change The Subject

Make $$h$$ the subject of the formula
$$e=\frac{h}{4}-5$$

$$h=4(e+5)$$

Basic Division 1

Calculate the value of:

2152 ÷ 8

= 269

Number Sequences 2

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

A Mathematics Lesson Starter Of The Day

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