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:

50

1, 2, 5, 10, 25, 50.

Multiples

Subtract the 5th from the 9th multiples of:

11

44

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) 58.58; 58.6
b) 774012; 774000
c) 0.005895; 0.00590

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 9cm.

27cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 5cm and a top (parallel to base) of 6cm. 50cm2

Evaluate:

$$\frac{3}{6} + \frac{8}{9}$$ $$= 1\frac{7}{18}$$

Fractions (Multiplying)

Evaluate:

$$\frac{3}{4} × \frac{6}{7}$$ $$= \frac{9}{14}$$

Fractions (Dividing)

Evaluate:

$$\frac{1}{2} ÷ \frac{5}{3}$$ $$= \frac{3}{10}$$

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.

$$\frac{1}{6}$$ $$= 16.7$$%

Circle Area

Find the area of a circle that has a radius of 10cm. Give your answer to three significant figures.

314cm2

Circle Circumference

Find the circumference of a circle that has a radius of 9cm. Give your answer to three significant figures.

56.5cm

Calculate the value of:

4.7 + 5.4

= 10.1

Decimals (Subtracting)

Calculate the value of:

8.2 − 3.9

= 4.3

Decimals (Multiplying)

Calculate the value of:

3.3 × 2.6

= 8.58

Decimals (Dividing)

Calculate the value of:

57.8 ÷ 17

= 3.4

Indices (Simple)

What is the value of:

23

= 8

What is the value of:

$$2^{0}$$

$$= 1$$

Calculate the value of:

75 + 69

= 144

Basic Subtraction

Calculate the value of:

92 − 28

= 64

Basic Multiplication

Calculate the value of:

44 × 84

= 3696

Basic Division 2

Calculate the value of:

1615 ÷ 17

= 95

Percentage (Of)

Find the value of:

95% of 300

= 285

Standard Form 1

Find the value of:

5.53 × 106

= 5530000

Highest Common Factor

Find the highest common factor of forty five and twenty.

= 5

Times Tables (2-5)

 7 × 4 = 28 6 × 5 = 30 3 × 3 = 9 4 × 3 = 12 5 × 2 = 10 9 × 4 = 36 8 × 4 = 32 2 × 2 = 4

Times Tables (2-12)

 7 × 3 = 21 6 × 7 = 42 8 × 3 = 24 4 × 5 = 20 9 × 12 = 108 5 × 9 = 45 3 × 4 = 12 2 × 10 = 20

Times Tables (2)

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

Times Tables (3)

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

Times Tables (4)

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

Times Tables (5)

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

Times Tables (6)

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

Times Tables (7)

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

Times Tables (8)

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

Times Tables (9)

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

Times Tables (12)

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

Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{21}{28}$$ $$= \frac{3}{4}$$

Fractions (Mixed)

Evaluate:

$$1\frac{2}{3} − \frac{6}{7}$$ $$= \frac{17}{21}$$

Pythagoras

Find AC if AB = 5.6m and BC = 6.7m. 3.68m

Trigonometry (Angle)

Find angle ABC if AC = 5.5m and AB = 7.3m. 37.0o

Trigonometry (Side)

Find AC if angle ABC = 25o and AB = 3.1m. 1.45m

2

2

2

Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$$\frac{5}{6}$$ $$= 0.833$$

Decimal to Fraction

Convert this decimal to a fraction.

$$0.44$$ = $$\frac{11}{25}$$

Percentage (Increase)

Increase £160 by 40%

£224

Lowest Common Multiple

What is the lowest common multiple of twelve and fifteen.

= 60

Sequence (Arithmetic)

2,11,20,29,38...

Find the:
a) next term; 47
b) nth term; 9n - 7
c) term number 29; 254

Sequence (Geometric)

4,12,36,108,324...

Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 9; 26244

Interest (Simple)

If £160 is invested for 5 years with a simple interest rate of 4%, find the amount of interest earned. £32.00

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 $1.32, convert: a) £240 to dollars;$316.80

b) \$180 to pounds; £136.36

Coordinates (Midpoint)

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

$$(4,1) \text{ and } (12,13)$$

(8,7)

What is the gradient of the line joining:

$$(2,-4) \text{ and } (8,-1)$$

$$\frac{1}{2}$$

Coordinates (Square)

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

$$(4,3),(9,7),(0,8)$$

(5,12)

Negative Numbers

a) 11 − 17 = -6
b) 11 × (-11) = -121
c) (8−17)(8−15) = 63
d) 121 ÷ (-11) = -11
e) (-7)2 = 49

Substitution

If p = 6, q = 22 and
r = -7 evaluate:

a) 2q − p = 38
b) pq + r = 125
c) p2 − 5q - r = -67

Equations (Type 1)

Solve:

$$4x = 28$$

$$x = 7$$

Equations (Type 2)

Solve:

$$5x +5= 45$$

$$x = 8$$

Equations (Type 3)

Solve:

$$6x +3= 2x + 19$$

$$x = 4$$

Equations (Type 4)

Solve:

$$5(4x -2)+8= 38$$

$$x = 2$$

Equations (Type 5)

Solve:

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

$$x = -1.17 \text{(to 3 sf)}$$

Equations (Simultaneous 1)

Solve:

$$3x+2y = 26$$
$$2x-2y = -6$$

$$x = 4, y = 7$$

Equations (Simultaneous 2)

Solve:

$$2x-5y = 0$$
$$6x+20y = 70$$

$$x = 5, y = 2$$

Equations (Simultaneous 3)

Solve:

$$3x-7y = 22.5$$
$$5x-2y = -20.5$$

$$x = -6.5, y = -6$$

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
{6,7,8,9,10}

Bearings

A plane flies from point A to point B on a bearing of 212o. What bearing would it return on from B to A? 032o

Probability

A number is picked at random from the set

{1,2,3,4,5}

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

Evaluate:

8 + (9 × 72 − 3)

446

Simplify

Simplify the following by collecting like terms:

$$7d−3e−5d+7e$$

$$4e+2d$$

Ratio

Divide 96 in the ratio

1:7

12 and 84

Graph (Linear)

Draw a rough sketch of the graph of:

$$2y=x$$

y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

540

2 x 2 x 3 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £96 after a 40% reduction. What was the original price?

£160

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.

0.212121... $$\frac{7}{33}$$

Percentage (Decrease)

Decrease £120 by 45%

£66

Brackets (Linear)

Expand:

$$5(7x-4)$$

$$35x-20$$

Expand:

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

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

Factorise (Linear)

Factorise:

$$6x-18$$

$$6(x-3)$$

Factorise:

$$x^2-9$$

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

Factorise:

$$5x^2+11x-12$$

$$(x+3)(5x-4)$$

Which theorem?

Standard Form 2

Find the value of:

6.23 × 10-5

= 0.0000623

Standard Form 3

Write in standard form:

68900

= 6.89 × 104

Standard Form 4

Write in standard form:

0.0000604

= 6.04 × 10-5

Find the nth term:

$$1, 10, 21, 34, 49,$$

$$n^2+6n-6$$

Standard Form 5

Multiply 4 × 104
by 8 × 103 and give the answer in standard form.

= 3.2 × 108

Solve:

$$x^2-x-20= 0$$

$$x = 5$$ and $$-4$$

Solve this equation giving the solutions to 3 significant figures:

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

$$x = 1.42$$ and $$-0.422$$

Polygon Angles

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

135°

Change The Subject

Make $$b$$ the subject of the formula
$$c=3b-5$$

$$b=\frac{c+5}{3}$$

Basic Division 1

Calculate the value of:

8199 ÷ 9

= 911

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 root of

144

12

Prime Numbers

What is the difference between the 6th and the 7th prime numbers?

17 - 13 = 4

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.

Angles

Calculate $$x$$.

Decimals (Ordering)

Write down these numbers: 5, 5.5, 0.5, 5.55, 5.05, 0.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,

Lengths (Ordering)

Write down these lengths: 1.8m, 107cm, 17cm, 1.08m, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,

Capacities (Ordering)

Write down these capacities: 18cl, 200ml, 173ml, 21cl, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,

j = 97

h = 75

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• I use Refreshing Revision a lot but today all the brackets and fractions keep coming up 'jumbled' . There are curly brackets, part words / 's in odd places and it is impossible to make out the question. It is doing this on 2 computers I have tried. Can you help? thank you.

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