Number Sequences 1

What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37

Factors

Find all the factors of:

33

1, 3, 11, 33.

Multiples

Subtract the 5th from the 8th multiples of:

12

36

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) 99.55; 99.6
b) 650464; 650000
c) 0.004495; 0.00450

Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 10cm.

35cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 13cm, a height of 9cm and a top (parallel to base) of 7cm. 90cm²

Fractions (Adding)

Evaluate:

\( \frac{2}{5} + \frac{7}{8}\) \(= 1\frac{11}{40}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{2}{4} ÷ \frac{7}{6}\) \(= \frac{3}{7}\)

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.

\( \frac{1}{2}\) \(= 50\)%

Circle Area

Find the area of a circle that has a radius of 11cm. Give your answer to three significant figures.

380cm²

Circle Circumference

Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.

44.0cm

Decimals (Adding)

Calculate the value of:

4.8 + 2.4

= 7.2

Decimals (Subtracting)

Calculate the value of:

9.4 − 3.8

= 5.6

Decimals (Multiplying)

Calculate the value of:

6.8 × 3.4

= 23.12

Decimals (Dividing)

Calculate the value of:

72.8 ÷ 14

= 5.2

Indices (Simple)

What is the value of:

4²

= 16

Indices (Advanced)

What is the value of:

\(1^{\frac{1}{2}}\)

\(= 1\)

Basic Addition

Calculate the value of:

58 + 28

= 86

Basic Subtraction

Calculate the value of:

71 − 26

= 45

Basic Multiplication

Calculate the value of:

76 × 49

= 3724

Basic Division 2

Calculate the value of:

832 ÷ 16

= 52

Percentage (Of)

Find the value of:

20% of 60

= 12

Standard Form 1

Find the value of:

4.26 × 10⁵

= 426000

Highest Common Factor

Find the highest common factor of sixteen and ten.

= 2

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:

\( \frac{12}{24}\) \(= \frac{1}{2}\)

Fractions (Mixed)

Evaluate:

\( 2\frac{3}{4} − \frac{7}{8}\) \(= 1\frac{7}{8}\)

Pythagoras

Find AC if AB = 5.9m and BC = 7.3m. 4.30m

Trigonometry (Angle)

Find angle BCA if AC = 5m and BC = 6.4m. 38.6^o

Trigonometry (Side)

Find AC if angle ABC = 66^o and BC = 5.4m. 4.93m

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.

\( \frac{2}{3}\) \(= 0.667\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.87\) = \( \frac{87}{100}\)

Percentage (Increase)

Increase £120 by 45%

£174

Lowest Common Multiple

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

= 42

Sequence (Arithmetic)

7,18,29,40,51...

Find the:
a) next term; 62
b) n^th term; 11n - 4
c) term number 48; 524

Sequence (Geometric)

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

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

Interest (Simple)

If £220 is invested for 6 years with a simple interest rate of 2%, find the amount of interest earned. £26.40

Interest (Compound)

If £140 is invested with an interest rate of 2% compounded annually, find the value of the investment after 8 years. £164.03

Currency Exchange

If £1 is worth $1.39, convert:

a) £240 to dollars; $333.60

b) $200 to pounds; £143.88

Coordinates (Midpoint)

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

\((-8,-3) \text{ and } (4,9)\)

(-2,3)

Gradient

What is the gradient of the line joining:

\((-8,0) \text{ and } (-5,4)\)

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

Coordinates (Square)

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

\((2,2),(5,8),(-4,5)\)

(-1,11)

Negative Numbers

a) 10 − 15 = -5
b) 10 × (-10) = -100
c) (11−23)(7−18) = 132
d) 100 ÷ (-10) = -10
e) (-10)² = 100

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:

\(2x = 14\)

\(x = 7\)

Equations (Type 2)

Solve:

\(4x +8= 28\)

\(x = 5\)

Equations (Type 3)

Solve:

\(10x -2= 5x + 28\)

\(x = 6\)

Equations (Type 4)

Solve:

\(4(4x +2)-11= 77\)

\(x = 5\)

Equations (Type 5)

Solve:

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

\(x = -0.667 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(4x-2y = 18\)
\(2x-2y = 6\)

\(x = 6, y = 3\)

Equations (Simultaneous 2)

Solve:

\(2x-5y = -9\)
\(7x-10y = -9\)

\(x = 3, y = 3\)

Equations (Simultaneous 3)

Solve:

\(5x+5y = -47.5\)
\(3x+2y = -26.5\)

\(x = -7.5, y = -2\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

{5,6,7,8,9,10} and
{2,3,5,7,11,13}

{5,7}

Bearings

A plane flies from point A to point B on a bearing of 223^o. What bearing would it return on from B to A? 043^o

Probability

A number is picked at random from the set

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

what is the probability it is even? \(\frac12\)

BIDMAS

Evaluate:

3 + 3 × 8 − 8

19

Simplify

Simplify the following by collecting like terms:

\(7d−3e−5d+7e\)

\(4e+2d\)

Ratio

Divide 72 in the ratio

7:5

42 and 30

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:

30

2 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:

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.

0.393939... \(\frac{13}{33}\)

Percentage (Decrease)

Decrease £60 by 40%

£36

Brackets (Linear)

Expand:

\(5(2x-4)\)

\(10x-20\)

Brackets (Quadratic)

Expand:

\((3x+2)(x-3)\)

\(3x^2-7x-6\)

Factorise (Linear)

Factorise:

\(15x-27\)

\(3(5x-9)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-x-2\)

\((x+1)(x-2)\)

Factorise (Quadratic 2)

Factorise:

\(3x^2-4x-4\)

\((3x+2)(x-2)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

1.87 × 10^-3

= 0.00187

Standard Form 3

Write in standard form:

964

= 9.64 × 10²

Standard Form 4

Write in standard form:

0.0000828

= 8.28 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(8, 21, 40, 65, 96, \)

\(3n^2+4n+1\)

Standard Form 5

Multiply 7 × 10³
by 4 × 10⁵ and give the answer in standard form.

= 2.8 × 10⁹

Equations (Quadratic 1)

Solve:

\(x^2+2x-15= 0\)

\(x = 3\) and \(-5\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(4x^2+2x-1 = 0\)

\(x = 0.309\) and \(-0.809\)

Polygon Angles

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

135°

Change The Subject

Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$

$$h=4(e+5)$$

Basic Division 1

Calculate the value of:

2616 ÷ 3

= 872

Number Sequences 2

What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144

Square Numbers

What are the next three square numbers after
64

81, 100, 121

Prime Numbers

What is the 4th prime number?

7

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: 0.99, 9.09, 9.9, 0.9, 9.99, 9, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

i = 54

Angles with Parallels 2

e = 63