# ### 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:

45

1, 3, 5, 9, 15, 45.

### Multiples

Subtract the 4th from the 7th multiples of:

5

15

### Polygons

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

Square, Pentagon and Hexagon (all regular)

### Rounding

Round the following numbers to three significant figures:
a) 61.92; 61.9
b) 356233; 356000
c) 0.002595; 0.00260

### Area of a Triangle

Find the area of a triangle that has a base of 3cm and a height of 8cm.

12cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 11cm, a height of 8cm and a top (parallel to base) of 3cm. 56cm2

### Fractions (Adding)

Evaluate:

$$\frac{4}{5} + \frac{7}{9}$$ $$= 1\frac{26}{45}$$

### Fractions (Multiplying)

Evaluate:

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

### Fractions (Dividing)

Evaluate:

$$\frac{3}{4} ÷ \frac{6}{5}$$ $$= \frac{5}{8}$$

### Circle (Vocabulary)

Name the red part.  ### Venn Diagrams

Describe the red region.  ### Shape Formulas

What is the formula?  ### Formulas (Advanced)

What is it?  ### Fraction to Percentage

Convert this fraction to a percentage.

$$\frac{3}{6}$$ $$= 50$$%

### 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 6cm. Give your answer to three significant figures.

37.7cm

### Decimals (Adding)

Calculate the value of:

2.6 + 5.9

= 8.5

### Decimals (Subtracting)

Calculate the value of:

7.4 − 2.5

= 4.9

### Decimals (Multiplying)

Calculate the value of:

4.8 × 6.7

= 32.16

### Decimals (Dividing)

Calculate the value of:

29.9 ÷ 13

= 2.3

### Indices (Simple)

What is the value of:

33

= 27

### Indices (Advanced)

What is the value of:

5-1

= 0.2

### Basic Addition

Calculate the value of:

89 + 48

= 137

### Basic Subtraction

Calculate the value of:

92 − 27

= 65

### Basic Multiplication

Calculate the value of:

32 × 92

= 2944

### Basic Division 2

Calculate the value of:

1128 ÷ 12

= 94

### Percentage (Of)

Find the value of:

30% of 120

= 36

### Standard Form 1

Find the value of:

5.45 × 102

= 545

### Highest Common Factor

Find the highest common factor of twenty eight and sixteen.

= 4

### Times Tables (2-5)

 5 × 3 = 15 3 × 2 = 6 4 × 5 = 20 9 × 3 = 27 8 × 2 = 16 6 × 5 = 30 7 × 3 = 21 2 × 2 = 4

### Times Tables (2-12)

 7 × 5 = 35 5 × 9 = 45 8 × 2 = 16 9 × 5 = 45 6 × 4 = 24 3 × 3 = 9 4 × 12 = 48 2 × 11 = 22

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{9}{36}$$ $$= \frac{1}{4}$$

### Fractions (Mixed)

Evaluate:

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

### Pythagoras

Find AB if AC = 5.5m and BC = 6.6m. 3.65m

### Trigonometry (Angle)

Find angle BCA if AC = 3.8m and BC = 5.6m. 47.3o

### Trigonometry (Side)

Find AC if angle ABC = 69o and AB = 4.2m. 10.9m

### 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.

$$\frac{4}{7}$$ $$= 0.571$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.4$$ = $$\frac{2}{5}$$

### Percentage (Increase)

Increase £180 by 30%

£234

### Lowest Common Multiple

What is the lowest common multiple of nine and twenty one.

= 63

### Sequence (Arithmetic)

4,14,24,34,44...

Find the:
a) next term; 54
b) nth term; 10n - 6
c) term number 53; 524

### Sequence (Geometric)

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

Find the:
a) next term; 1215
b) nth term; 5 × 3n-1
c) term number 11; 295245

### Interest (Simple)

If £140 is invested for 4 years with a simple interest rate of 1%, find the amount of interest earned. £5.60

### Interest (Compound)

If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 8 years. £216.57

### Currency Exchange

If £1 is worth $1.55, convert: a) £100 to dollars;$155.00

b) \$180 to pounds; £116.13

### Coordinates (Midpoint)

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

$$(7,-2) \text{ and } (15,8)$$

(11,3)

### Gradient

What is the gradient of the line joining:

$$(5,-7) \text{ and } (8,-2)$$

$$\frac{5}{3}$$

### Coordinates (Square)

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

$$(5,2),(10,6),(1,7)$$

(6,11)

### Negative Numbers

a) 5 − 12 = -7
b) 5 × (-12) = -60
c) (9−15)(12−24) = 72
d) 60 ÷ (-12) = -5
e) (-7)2 = 49

### Substitution

If p = 5, q = 18 and
r = -5 evaluate:

a) 2q − p = 31
b) pq + r = 85
c) p2 − 5q - r = -60

### Equations (Type 1)

Solve:

$$3x = 15$$

$$x = 5$$

### Equations (Type 2)

Solve:

$$2x -1= 5$$

$$x = 3$$

### Equations (Type 3)

Solve:

$$10x -4= 5x + 36$$

$$x = 8$$

### Equations (Type 4)

Solve:

$$2(2x +6)-9= 23$$

$$x = 5$$

### Equations (Type 5)

Solve:

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

$$x = -1.29 \text{(to 3 sf)}$$

### Equations (Simultaneous 1)

Solve:

$$5x-2y = 5$$
$$4x+2y = 22$$

$$x = 3, y = 5$$

### Equations (Simultaneous 2)

Solve:

$$2x-4y = -16$$
$$3x+16y = 108$$

$$x = 4, y = 6$$

### Equations (Simultaneous 3)

Solve:

$$2x-6y = -7$$
$$2x+3y = 15.5$$

$$x = 4, y = 2.5$$

### Sets (Union)

Find the union of:

{1,3,5,7,9} and
{1,3,6,10,15}

{1,3,5,6,7,9,10,15}

### Sets (Intersection)

Find the intersection of:

{1,2,3,4,5} and
{1,3,5,7,9}

{1,3,5}

### Bearings

A plane flies from point A to point B on a bearing of 139o. What bearing would it return on from B to A? 319o

### Probability

A number is picked at random from the set

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

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

Evaluate:

62 − 8 × 8 + 7

-21

### Simplify

Simplify the following by collecting like terms:

$$5a−5−4a−5$$

$$a-10$$

### Ratio

Divide 60 in the ratio

3:2

36 and 24

### Graph (Linear)

Draw a rough sketch of the graph of:

$$y=-2x-2$$

Gradient -2
y intercept -2

### Prime Factors

Express the following number as the product of prime numbers:

270

2 x 3 x 3 x 3 x 5

### Percentage (Reverse)

In a sale an item costs £136 after a 15% reduction. What was the original price?

£160

### Averages

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

6,7,8,9,10

Mean = 8, no mode,
median = 8 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.

0.696969... $$\frac{23}{33}$$

### Percentage (Decrease)

Decrease £20 by 15%

£17

### Brackets (Linear)

Expand:

$$6(6x-3)$$

$$36x-18$$

### Brackets (Quadratic)

Expand:

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

$$6x^2-2x-8$$

### Factorise (Linear)

Factorise:

$$10x-14$$

$$2(5x-7)$$

### Factorise (Quadratic 1)

Factorise:

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

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

### Factorise (Quadratic 2)

Factorise:

$$6x^2+x-12$$

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

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

5.89 × 10-2

= 0.0589

### Standard Form 3

Write in standard form:

3140000

= 3.14 × 106

### Standard Form 4

Write in standard form:

0.0000566

= 5.66 × 10-5

### Sequence (Quadratic)

Find the nth term:

$$7, 14, 23, 34, 47,$$

$$n^2+4n+2$$

### Standard Form 5

Multiply 7 × 102
by 5 × 105 and give the answer in standard form.

= 3.5 × 108

### Equations (Quadratic 1)

Solve:

$$x^2-3x-10= 0$$

$$x = 5$$ and $$-2$$

### Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

$$3x^2-x-1 = 0$$

$$x = 0.768$$ and $$-0.434$$

### Polygon Angles

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

135° ### Change The Subject

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

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

### Basic Division 1

Calculate the value of:

3776 ÷ 8

= 472

### Number Sequences 2

What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89

### Square Numbers

What is the square root of

100

10

### Prime Numbers

What is the difference between the 11th and the 12th prime numbers?

37 - 31 = 6

### Last Lesson

Write down something you learnt in the previous mathematics lesson.

### Last Week

Write down something you learnt in one of the mathematics lessons last week.

## A Mathematics Lesson Starter Of The Day

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