Number Sequences 1

What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13

Factors

Find all the factors of:

38

1, 2, 19, 38.

Multiples

Subtract the 5th from the 10th multiples of:

4

20

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 (3sf)

Round to three significant figures:
a) 44.93; 44.9
b) 606667; 607000
c) 83; 83.0
d) 0.008395; 0.00840

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 10cm.

30cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 15cm, a height of 11cm and a top (parallel to base) of 7cm. 121cm²

Fractions (Adding)

Evaluate:

\( \frac{1}{3} + \frac{5}{8}\) \(= \frac{23}{24}\)

Fractions (Multiplying)

Evaluate:

\( \frac{1}{3} × \frac{4}{5}\) \(= \frac{4}{15}\)

Fractions (Dividing)

Evaluate:

\( \frac{3}{5} ÷ \frac{8}{6}\) \(= \frac{9}{20}\)

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.

\( \frac{5}{10}\) \(= 50\)%

Circle Area

Find the area of a circle that has a radius of 8cm. Give your answer to three significant figures.

201cm²

Circle Circumference

Find the circumference of a circle that has a radius of 1cm. Give your answer to three significant figures.

6.28cm

Decimals (Adding)

Calculate the value of:

2.5 + 8.4

= 10.9

Decimals (Subtracting)

Calculate the value of:

8.1 − 3.9

= 4.2

Decimals (Multiplying)

Calculate the value of:

4.6 × 3.5

= 16.1

Decimals (Dividing)

Calculate the value of:

99 ÷ 18

= 5.5

Indices (Simple)

What is the value of:

1²

= 1

Indices (Advanced)

What is the value of:

\(125^{\frac{1}{3}}\)

\(= 5\)

Basic Addition

Calculate the value of:

65 + 45

= 110

Basic Subtraction

Calculate the value of:

93 − 29

= 64

Basic Multiplication

Calculate the value of:

66 × 39

= 2574

Basic Division 2

Calculate the value of:

768 ÷ 12

= 64

Percentage (Of)

Find the value of:

70% of 200

= 140

Standard Form 1

Find the value of:

4.62 × 10⁶

= 4620000

Highest Common Factor

Find the highest common factor of thirty six and sixteen.

= 4

Times Tables (2-5)

Times Tables (2-12)

Times Tables (2)

Times Tables (3)

Times Tables (4)

Times Tables (5)

Times Tables (6)

Times Tables (7)

Times Tables (8)

Times Tables (9)

Times Tables (12)

Fractions (Equivalent)

Write this fraction in its simplest form:

\( \frac{16}{28}\) \(= \frac{4}{7}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{1}{2} − \frac{3}{4}\) \(= \frac{3}{4}\)

Pythagoras

Find AC if AB = 4.4m and BC = 6.1m. 4.22m

Trigonometry (Angle)

Find angle ABC if AC = 4.2m and BC = 6.1m. 43.5^o

Trigonometry (Side)

Find AC if angle BCA = 53^o and AB = 5m. 3.77m

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.

\( \frac{1}{6}\) \(= 0.167\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.12\) = \( \frac{3}{25}\)

Percentage (Increase)

Increase £80 by 45%

£116

Lowest Common Multiple

What is the lowest common multiple of twelve and thirty two.

= 96

Sequence (Arithmetic)

4,10,16,22,28...

Find the:
a) next term; 34
b) n^th term; 6n - 2
c) term number 39; 232

Sequence (Geometric)

6,18,54,162,486...

Find the:
a) next term; 1458
b) n^th term; 6 × 3^n-1
c) term number 9; 39366

Interest (Simple)

If £100 is invested for 5 years with a simple interest rate of 2%, find the amount of interest earned. £10.00

Interest (Compound)

If £180 is invested with an interest rate of 5% compounded annually, find the value of the investment after 4 years. £218.79

Currency Exchange

If £1 is worth $1.24, convert:

a) £220 to dollars; $272.80

b) $240 to pounds; £193.55

Coordinates (Midpoint)

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

\((-5,-4) \text{ and } (1,6)\)

(-2,1)

Gradient

What is the gradient of the line joining:

\((4,5) \text{ and } (7,9)\)

\(\frac{4}{3}\)

Coordinates (Square)

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

\((2,2),(5,5),(-1,5)\)

(2,8)

Negative Numbers

a) 7 − 16 = -9
b) 7 × (-8) = -56
c) (6−15)(10−21) = 99
d) 56 ÷ (-8) = -7
e) (-12)² = 144

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:

\(5x = 25\)

\(x = 5\)

Equations (Type 2)

Solve:

\(5x +9= 34\)

\(x = 5\)

Equations (Type 3)

Solve:

\(7x -3= 3x + 17\)

\(x = 5\)

Equations (Type 4)

Solve:

\(5(5x -2)-6= 184\)

\(x = 8\)

Equations (Type 5)

Solve:

\(5(5x + 3)= 2(2x + 2)\)

\(x = -0.524 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(3x-4y = 3\)
\(2x-4y = -2\)

\(x = 5, y = 3\)

Equations (Simultaneous 2)

Solve:

\(2x+4y = 42\)
\(6x+16y = 154\)

\(x = 7, y = 7\)

Equations (Simultaneous 3)

Solve:

\(3x-2y = 47.5\)
\(5x-7y = 114\)

\(x = 9.5, y = -9.5\)

Sets (Union)

Find the union of:

{2,4,6,8,10} and
{1,3,6,10,15}

{1,2,3,4,6,8,10,15}

Sets (Intersection)

Find the intersection of:

{5,6,7,8,9,10} and
{3,6,9,12,15}

{6,9}

Bearings

A plane flies from point A to point B on a bearing of 079^o. What bearing would it return on from B to A? 259^o

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:

20 ÷ 5 × 63 ÷ 9

28

Simplify

Simplify the following by collecting like terms:

\(3x+5x^2-8x+x^2\)

\(6x^2-5x\)

Ratio

Divide 165 in the ratio

9:2

135 and 30

Graph Linear (1)

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:

120

2 x 2 x 2 x 3 x 5

Percentage (Reverse)

In a sale an item costs £91 after a 35% 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.

0.727272... \(\frac{8}{11}\)

Percentage (Decrease)

Decrease £180 by 5%

£171

Brackets (Linear)

Expand:

\(8(2x-3)\)

\(16x-24\)

Brackets (Quadratic)

Expand:

\((4x+2)(4x-4)\)

\(16x^2-8x-8\)

Factorise (Linear)

Factorise:

\(25x-30\)

\(5(5x-6)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-4\)

\((x+2)(x-2)\)

Factorise (Quadratic 2)

Factorise:

\(9x^2-16\)

\((3x+4)(3x-4)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

6.24 × 10^-4

= 0.000624

Standard Form 3

Write in standard form:

868000

= 8.68 × 10⁵

Standard Form 4

Write in standard form:

0.0000152

= 1.52 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(2, 13, 30, 53, 82, \)

\(3n^2+2n-3\)

Standard Form 5

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

= 4.9 × 10⁸

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:

\(5x^2-2x-5 = 0\)

\(x = 1.22\) and \(-0.820\)

Polygon Angles

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

108°

Change The Subject

Make \(c\) the subject of the formula
$$d=\frac{3c+1}{2}$$

$$c=\frac{2d-1}{3}$$

Basic Division 1

Calculate the value of:

3846 ÷ 6

= 641

Number Sequences 2

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

Square Numbers

What is the difference between the 10th and the 11th square numbers?

21

Prime Numbers

What is the 10th prime number?

29

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: 0.66, 6.66, 6.06, 6.6, 6, 0.6, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

f = 132

Angles with Parallels 2

g = 122

Rounding (1sf)

Round to one significant figure:
a) 56.79; 60
b) 963586; 1000000
c) 92; 90
d) 0.00284; 0.003

Estimation

Round each value to one significant figure to make an estimate:$$(174 + 4.5) \div 16$$\((200 + 5) \div 20 = 10.25\)

Pie Charts (1)

A pie chart shows the colours of 24 books. What sector angle represents the
13 red books?
195°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 90 hats. How many green hats are represented
by a sector
angle of 124°?
31

Surds (1)

Simplify:
$$\sqrt{32}$$
\(4\sqrt{2}\)

Surds (2)

Simplify:
$$\dfrac{7}{2\sqrt{5}}$$\(\frac{7\sqrt{5}}{10}\)

Surds (3)

Simplify:
$$\dfrac{2}{5 - \sqrt{7}}$$\(\frac{10 + 2\sqrt{7}}{18}\)