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:

40

1, 2, 4, 5, 8, 10, 20, 40.

Multiples

Subtract the 4th from the 7th multiples of:

3

9

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) 33.48; 33.5
b) 346848; 347000
c) 45; 45.0
d) 0.004595; 0.00460

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 17cm, a height of 8cm and a top (parallel to base) of 7cm. 96cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{4} + \frac{7}{8}\) \(= 1\frac{5}{8}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{2}{4} ÷ \frac{6}{5}\) \(= \frac{5}{12}\)

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 3cm. Give your answer to three significant figures.

28.3cm²

Circle Circumference

Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.

12.6cm

Decimals (Adding)

Calculate the value of:

9.8 + 4.8

= 14.6

Decimals (Subtracting)

Calculate the value of:

8.4 − 2.6

= 5.8

Decimals (Multiplying)

Calculate the value of:

3.3 × 8.6

= 28.38

Decimals (Dividing)

Calculate the value of:

60.2 ÷ 14

= 4.3

Indices (Simple)

What is the value of:

3³

= 27

Indices (Advanced)

What is the value of:

\(4^{-3}\)

\(= \frac{1}{64}\)

Basic Addition

Calculate the value of:

88 + 29

= 117

Basic Subtraction

Calculate the value of:

93 − 26

= 67

Basic Multiplication

Calculate the value of:

57 × 22

= 1254

Basic Division 2

Calculate the value of:

1161 ÷ 27

= 43

Percentage (Of)

Find the value of:

20% of 100

= 20

Standard Form 1

Find the value of:

6.33 × 10²

= 633

Highest Common Factor

Find the highest common factor of eighteen and six.

= 6

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:

\( \frac{12}{16}\) \(= \frac{3}{4}\)

Fractions (Mixed)

Evaluate:

\( 3\frac{4}{5} − \frac{6}{7}\) \(= 2\frac{33}{35}\)

Pythagoras

Find AB if AC = 4.1m and BC = 6.1m. 4.52m

Trigonometry (Angle)

Find angle ABC if AB = 4.9m and BC = 5.9m. 33.8^o

Trigonometry (Side)

Find AB if angle ABC = 37^o and BC = 3.2m. 2.56m

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.

\( \frac{2}{6}\) \(= 0.333\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.69\) = \( \frac{69}{100}\)

Percentage (Increase)

Increase £180 by 30%

£234

Lowest Common Multiple

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

= 56

Sequence (Arithmetic)

3,12,21,30,39...

Find the:
a) next term; 48
b) n^th term; 9n - 6
c) term number 39; 345

Sequence (Geometric)

6,24,96,384,1536...

Find the:
a) next term; 6144
b) n^th term; 6 × 4^n-1
c) term number 12; 25165824

Interest (Simple)

If £200 is invested for 9 years with a simple interest rate of 6%, find the amount of interest earned. £108.00

Interest (Compound)

If £220 is invested with an interest rate of 1% compounded annually, find the value of the investment after 6 years. £233.53

Currency Exchange

If £1 is worth $1.24, convert:

a) £180 to dollars; $223.20

b) $180 to pounds; £145.16

Coordinates (Midpoint)

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

\((-9,5) \text{ and } (1,11)\)

(-4,8)

Gradient

What is the gradient of the line joining:

\((-6,-5) \text{ and } (0,1)\)

1

Coordinates (Square)

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

\((4,4),(7,10),(-2,7)\)

(1,13)

Negative Numbers

a) 12 − 21 = -9
b) 12 × (-9) = -108
c) (6−12)(10−22) = 72
d) 108 ÷ (-9) = -12
e) (-5)² = 25

Substitution

If p = 6, q = 26 and
r = -11 evaluate:

a) 2q − p = 46
b) pq + r = 145
c) p² − 5q - r = -83

Equations (Type 1)

Solve:

\(2x = 6\)

\(x = 3\)

Equations (Type 2)

Solve:

\(2x +7= 23\)

\(x = 8\)

Equations (Type 3)

Solve:

\(6x +4= 2x + 28\)

\(x = 6\)

Equations (Type 4)

Solve:

\(4(4x +6)-6= 50\)

\(x = 2\)

Equations (Type 5)

Solve:

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

\(x = 1.2\)

Equations (Simultaneous 1)

Solve:

\(5x-5y = 5\)
\(3x-5y = -9\)

\(x = 7, y = 6\)

Equations (Simultaneous 2)

Solve:

\(2x-4y = -4\)
\(7x-16y = -22\)

\(x = 6, y = 4\)

Equations (Simultaneous 3)

Solve:

\(3x+3y = 4.5\)
\(7x-2y = -52.5\)

\(x = -5.5, y = 7\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

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

{5,7,9}

Bearings

A plane flies from point A to point B on a bearing of 359^o. What bearing would it return on from B to A? 179^o

Probability

A number is picked at random from the set

{1,2,3,4,5}

what is the probability it is even? \(\frac25\)

BIDMAS

Evaluate:

(18 − 3)² + 4 × 8

257

Simplify

Simplify the following by collecting like terms:

\(3y+2w+7y\)

\(10y+2w\)

Ratio

Divide 84 in the ratio

4:8

28 and 56

Graph Linear (1)

Draw a rough sketch of the graph of:

\(y=-x\)

Gradient -1
y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

90

2 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £36 after a 10% reduction. What was the original price?

£40

Averages

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

2,4,6,8,10

Mean = 6, no mode,
median = 6 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.

0.121212... \(\frac{4}{33}\)

Percentage (Decrease)

Decrease £100 by 20%

£80

Brackets (Linear)

Expand:

\(8(9x-7)\)

\(72x-56\)

Brackets (Quadratic)

Expand:

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

\(x^2-16\)

Factorise (Linear)

Factorise:

\(35x-49\)

\(7(5x-7)\)

Factorise (Quadratic 1)

Factorise:

\(x^2+x-2\)

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

Factorise (Quadratic 2)

Factorise:

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

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

5.75 × 10^-2

= 0.0575

Standard Form 3

Write in standard form:

3130

= 3.13 × 10³

Standard Form 4

Write in standard form:

0.00379

= 3.79 × 10^-3

Sequence (Quadratic)

Find the n^th term:

\(10, 16, 24, 34, 46, \)

\(n^2+3n+6\)

Standard Form 5

Multiply 6 × 10³
by 6 × 10² and give the answer in standard form.

= 3.6 × 10⁶

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:

\(3x^2+3x-5 = 0\)

\(x = 0.884\) and \(-1.88\)

Polygon Angles

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

36°

Change The Subject

Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$

$$j=\frac{bc}{3}+4$$

Basic Division 1

Calculate the value of:

1932 ÷ 6

= 322

Number Sequences 2

What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89

Square Numbers

What are the next three square numbers after
121

144, 169, 196

Prime Numbers

What are the next three prime numbers after
19

23, 29, 31

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: 0.77, 0.7, 7.77, 7, 7.7, 7.07, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

g = 122

Angles with Parallels 2

b = 48

Rounding (1sf)

Round to one significant figure:
a) 54.13; 50
b) 624315; 600000
c) 93; 90
d) 0.00279; 0.003

Estimation

Round each value to one significant figure to make an estimate:$$2.9 \times 83 - 151$$\(3 \times 80 - 200 = 40\)

Pie Charts (1)

A pie chart shows the colours of 45 books. What sector angle represents the
26 red books?
208°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 40 hats. How many green hats are represented
by a sector
angle of 243°?
27