# ### Number Sequences 1

What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17

### Factors

Find all the factors of:

35

1, 5, 7, 35.

### Multiples

Subtract the 5th from the 10th multiples of:

10

50

### 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) 94.92; 94.9
b) 410636; 411000
c) 0.004695; 0.00470

### Area of a Triangle

Find the area of a triangle that has a base of 3cm and a height of 7cm.

10.5cm2

### 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 5cm. 108cm2

Evaluate:

$$\frac{4}{6} + \frac{7}{10}$$ $$= 1\frac{11}{30}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{1}{3} × \frac{4}{6}$$ $$= \frac{2}{9}$$

### Fractions (Dividing)

Evaluate:

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

### 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.

$$\frac{3}{7}$$ $$= 42.9$$%

### 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 9cm. Give your answer to three significant figures.

56.5cm2

Calculate the value of:

8.6 + 5.9

= 14.5

### Decimals (Subtracting)

Calculate the value of:

7.3 − 2.9

= 4.4

### Decimals (Multiplying)

Calculate the value of:

8.8 × 8.6

= 75.68

### Decimals (Dividing)

Calculate the value of:

49.4 ÷ 19

= 2.6

### Indices (Simple)

What is the value of:

13

= 1

What is the value of:

4-1

= 0.25

Calculate the value of:

77 + 88

= 165

### Basic Subtraction

Calculate the value of:

71 − 27

= 44

### Basic Multiplication

Calculate the value of:

72 × 62

= 4464

### Basic Division 2

Calculate the value of:

1470 ÷ 15

= 98

### Percentage (Of)

Find the value of:

65% of 80

= 52

### Standard Form 1

Find the value of:

8.18 × 105

= 818000

### Highest Common Factor

Find the highest common factor of forty five and twenty five.

= 5

### Times Tables (2-5)

 7 × 5 = 35 8 × 5 = 40 3 × 5 = 15 6 × 4 = 24 5 × 4 = 20 9 × 3 = 27 4 × 4 = 16 2 × 5 = 10

### Times Tables (2-12)

 6 × 3 = 18 5 × 4 = 20 3 × 7 = 21 4 × 11 = 44 8 × 2 = 16 9 × 8 = 72 7 × 5 = 35 2 × 4 = 8

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{14}{21}$$ $$= \frac{2}{3}$$

### Fractions (Mixed)

Evaluate:

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

### Pythagoras

Find BC if AB = 5.1m and AC = 7.1m. 8.74m

### Trigonometry (Angle)

Find angle ABC if AB = 3.3m and BC = 4.7m. 45.4o

### Trigonometry (Side)

Find AC if angle ABC = 41o and BC = 4.7m. 3.08m

2

2

2

### Fraction to Decimal

Convert this fraction to a decimal.

$$\frac{2}{4}$$ $$= 0.5$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.75$$ = $$\frac{3}{4}$$

### Percentage (Increase)

Increase £180 by 40%

£252

### Lowest Common Multiple

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

= 84

### Sequence (Arithmetic)

7,21,35,49,63...

Find the:
a) next term; 77
b) nth term; 14n - 7
c) term number 39; 539

### 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 £220 is invested for 9 years with a simple interest rate of 2%, find the amount of interest earned. £39.60

### Interest (Compound)

If £240 is invested with an interest rate of 4% compounded annually, find the value of the investment after 5 years. £292.00

### Currency Exchange

If £1 is worth $1.48, convert: a) £200 to dollars;$296.00

b) \$220 to pounds; £135.14

### Coordinates (Midpoint)

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

$$(8,7) \text{ and } (20,19)$$

(14,13)

What is the gradient of the line joining:

$$(6,-2) \text{ and } (12,4)$$

1

### Coordinates (Square)

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

$$(2,3),(6,7),(-2,7)$$

(2,11)

### Negative Numbers

a) 10 − 15 = -5
b) 10 × (-12) = -120
c) (11−19)(10−20) = 80
d) 120 ÷ (-12) = -10
e) (-6)2 = 36

### Substitution

If p = 5, q = 20 and
r = -6 evaluate:

a) 2q − p = 35
b) pq + r = 94
c) p2 − 5q - r = -69

### Equations (Type 1)

Solve:

$$2x = 4$$

$$x = 2$$

### Equations (Type 2)

Solve:

$$4x +1= 25$$

$$x = 6$$

### Equations (Type 3)

Solve:

$$7x +2= 3x + 10$$

$$x = 2$$

### Equations (Type 4)

Solve:

$$5(2x +2)-11= 89$$

$$x = 9$$

### Equations (Type 5)

Solve:

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

$$x = 5$$

### Equations (Simultaneous 1)

Solve:

$$5x-5y = 0$$
$$4x+5y = 63$$

$$x = 7, y = 7$$

### Equations (Simultaneous 2)

Solve:

$$4x+3y = 34$$
$$2x+9y = 32$$

$$x = 7, y = 2$$

### Equations (Simultaneous 3)

Solve:

$$4x-6y = -82$$
$$6x-2y = -67$$

$$x = -8.5, y = 8$$

### Sets (Union)

Find the union of:

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

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

### Sets (Intersection)

Find the intersection of:

{1,2,3,4,5} and
{1,3,6,10,15}

{1,3}

### Bearings

A plane flies from point A to point B on a bearing of 199o. What bearing would it return on from B to A? 019o

### Probability

A number is picked at random from the set

{1,3,6,10,15}

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

### BIDMAS

Evaluate:

(19 − 9)2 + 8 × 8

164

### Simplify

Simplify the following by collecting like terms:

$$5a−5−4a−5$$

$$a-10$$

### Ratio

Divide 120 in the ratio

4:6

48 and 72

### 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:

21

3 x 7

### Percentage (Reverse)

In a sale an item costs £126 after a 30% reduction. What was the original price?

£180

### 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.

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

### Percentage (Decrease)

Decrease £40 by 40%

£24

### Brackets (Linear)

Expand:

$$3(6x-2)$$

$$18x-6$$

Expand:

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

$$8x^2-10x-12$$

### Factorise (Linear)

Factorise:

$$24x-18$$

$$6(4x-3)$$

### Factorise (Quadratic 1)

Factorise:

$$x^2-4$$

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

### Factorise (Quadratic 2)

Factorise:

$$5x^2+14x-3$$

$$(x+3)(5x-1)$$

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

7.52 × 10-5

= 0.0000752

### Standard Form 3

Write in standard form:

87600

= 8.76 × 104

### Standard Form 4

Write in standard form:

0.00064

= 6.4 × 10-4

Find the nth term:

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

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

### Standard Form 5

Multiply 6 × 105
by 4 × 102 and give the answer in standard form.

= 2.4 × 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:

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

$$x = 0.725$$ and $$-1.72$$

### Polygon Angles

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

60° ### 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:

1713 ÷ 3

= 571

### Number Sequences 2

What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8

### Square Numbers

What is the square of

11

121

### Prime Numbers

What are the three largest prime numbers less than
11

7, 5, 3

### Last Lesson

Write down something you learnt in the previous mathematics lesson.

### Last Week

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

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