# ### 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:

26

1, 2, 13, 26.

### Multiples

Subtract the 5th from the 10th multiples of:

11

55

### Polygons

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

Equilateral Triangle, Square and Pentagon (all regular)

### Rounding

Round the following numbers to three significant figures:
a) 58.04; 58.0
b) 560715; 561000
c) 0.001495; 0.00150

### Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 12cm.

42cm2

### 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 7cm. 50cm2

Evaluate:

$$\frac{1}{4} + \frac{6}{7}$$ $$= 1\frac{3}{28}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{1}{3} × \frac{5}{7}$$ $$= \frac{5}{21}$$

### 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.

$$\frac{1}{4}$$ $$= 25$$%

### Circle Area

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

113cm2

### 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:

7.7 + 6.8

= 14.5

### Decimals (Subtracting)

Calculate the value of:

5.4 − 1.8

= 3.6

### Decimals (Multiplying)

Calculate the value of:

4.6 × 2.5

= 11.5

### Decimals (Dividing)

Calculate the value of:

46.4 ÷ 16

= 2.9

### Indices (Simple)

What is the value of:

32

= 9

What is the value of:

1-2

= 1

Calculate the value of:

98 + 97

= 195

### Basic Subtraction

Calculate the value of:

91 − 26

= 65

### Basic Multiplication

Calculate the value of:

38 × 69

= 2622

### Basic Division 2

Calculate the value of:

1975 ÷ 25

= 79

### Percentage (Of)

Find the value of:

90% of 160

= 144

### Standard Form 1

Find the value of:

1.52 × 102

= 152

### Highest Common Factor

Find the highest common factor of eighteen and ten.

= 2

### Times Tables (2-5)

 7 × 2 = 14 8 × 4 = 32 3 × 3 = 9 4 × 2 = 8 5 × 4 = 20 6 × 3 = 18 9 × 5 = 45 2 × 3 = 6

### Times Tables (2-12)

 6 × 4 = 24 4 × 3 = 12 5 × 8 = 40 7 × 8 = 56 8 × 3 = 24 3 × 10 = 30 9 × 3 = 27 2 × 3 = 6

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{10}{15}$$ $$= \frac{2}{3}$$

### Fractions (Mixed)

Evaluate:

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

### Pythagoras

Find AC if AB = 3.2m and BC = 4.8m. 3.58m

### Trigonometry (Angle)

Find angle ABC if AC = 3.6m and AB = 4.8m. 36.9o

### Trigonometry (Side)

Find AB if angle ABC = 21o and BC = 4.4m. 4.11m

2

2

2

### Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$$\frac{2}{6}$$ $$= 0.333$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.9$$ = $$\frac{9}{10}$$

### Percentage (Increase)

Increase £120 by 40%

£168

### Lowest Common Multiple

What is the lowest common multiple of eight and twenty.

= 40

### Sequence (Arithmetic)

5,15,25,35,45...

Find the:
a) next term; 55
b) nth term; 10n - 5
c) term number 38; 375

### Sequence (Geometric)

7,28,112,448,1792...

Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 8; 114688

### Interest (Simple)

If £100 is invested for 7 years with a simple interest rate of 4%, find the amount of interest earned. £28.00

### Interest (Compound)

If £220 is invested with an interest rate of 5% compounded annually, find the value of the investment after 6 years. £294.82

### Currency Exchange

If £1 is worth $1.44, convert: a) £220 to dollars;$316.80

b) \$200 to pounds; £138.89

### Coordinates (Midpoint)

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

$$(-5,7) \text{ and } (1,19)$$

(-2,13)

What is the gradient of the line joining:

$$(3,-9) \text{ and } (8,-6)$$

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

### Coordinates (Square)

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

$$(2,4),(5,9),(-3,7)$$

(0,12)

### Negative Numbers

a) 6 − 13 = -7
b) 6 × (-8) = -48
c) (7−17)(12−18) = 60
d) 48 ÷ (-8) = -6
e) (-10)2 = 100

### Substitution

If p = 6, q = 18 and
r = -12 evaluate:

a) 2q − p = 30
b) pq + r = 96
c) p2 − 5q - r = -42

### Equations (Type 1)

Solve:

$$2x = 16$$

$$x = 8$$

### Equations (Type 2)

Solve:

$$5x -9= 26$$

$$x = 7$$

### Equations (Type 3)

Solve:

$$6x -3= 5x + 1$$

$$x = 4$$

### Equations (Type 4)

Solve:

$$5(4x -5)+7= 42$$

$$x = 3$$

### Equations (Type 5)

Solve:

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

$$x = 0$$

### Equations (Simultaneous 1)

Solve:

$$3x-2y = 9$$
$$2x-2y = 2$$

$$x = 7, y = 6$$

### Equations (Simultaneous 2)

Solve:

$$5x+4y = 38$$
$$2x-8y = -4$$

$$x = 6, y = 2$$

### Equations (Simultaneous 3)

Solve:

$$3x-3y = 27$$
$$3x-5y = 34$$

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

### Sets (Union)

Find the union of:

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

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

### Sets (Intersection)

Find the intersection of:

{6,7,8,9,10} and
{3,6,9,12,15}

{6,9}

### Bearings

A plane flies from point A to point B on a bearing of 347o. What bearing would it return on from B to A? 167o

### Probability

A number is picked at random from the set

{2,6,12}

what is the probability it is even? 1

Evaluate:

2 + 7 × 4 − 4

26

### Simplify

Simplify the following by collecting like terms:

$$7d−3e−5d+7e$$

$$4e+2d$$

### Ratio

Divide 70 in the ratio

6:1

60 and 10

### Graph (Linear)

Draw a rough sketch of the graph of:

$$y=-2x+1$$

y intercept 1

### Prime Factors

Express the following number as the product of prime numbers:

180

2 x 2 x 3 x 3 x 5

### Percentage (Reverse)

In a sale an item costs £98 after a 30% reduction. What was the original price?

£140

### Averages

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

1,3,5,7,9

Mean = 5, no mode,
median = 5 and range = 8

### 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.

0.595959... $$\frac{59}{99}$$

### Percentage (Decrease)

Decrease £100 by 45%

£55

### Brackets (Linear)

Expand:

$$3(5x-3)$$

$$15x-9$$

Expand:

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

$$8x^2-2x-1$$

### Factorise (Linear)

Factorise:

$$7x-7$$

$$7(x-1)$$

Factorise:

$$x^2-9$$

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

Factorise:

$$x^2-x-2$$

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

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

6.58 × 10-3

= 0.00658

### Standard Form 3

Write in standard form:

6030000

= 6.03 × 106

### Standard Form 4

Write in standard form:

0.0000161

= 1.61 × 10-5

Find the nth term:

$$11, 21, 37, 59, 87,$$

$$3n^2+n+7$$

### Standard Form 5

Multiply 6 × 103
by 9 × 103 and give the answer in standard form.

= 5.4 × 107

Solve:

$$x^2-x-6= 0$$

$$x = 3$$ and $$-2$$

Solve this equation giving the solutions to 3 significant figures:

$$3x^2+5x-1 = 0$$

$$x = 0.180$$ and $$-1.85$$

### Polygon Angles

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

108° ### 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:

1554 ÷ 7

= 222

### Number Sequences 2

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

### Square Numbers

What is the square root of

4

2

### Prime Numbers

What is the difference between the 9th and the 10th prime numbers?

29 - 23 = 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.

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