Number Sequences 1

What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19

Factors

Find all the factors of:

31

1, 31.

Multiples

Subtract the 7th from the 11th multiples of:

3

12

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) 67.07; 67.1
b) 703618; 704000
c) 27; 27.0
d) 0.002795; 0.00280

Area of a Triangle

Find the area of a triangle that has a base of 5cm and a height of 8cm.

20cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 13cm, a height of 12cm and a top (parallel to base) of 5cm. 108cm²

Fractions (Adding)

Evaluate:

\( \frac{4}{6} + \frac{9}{11}\) \(= 1\frac{16}{33}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{3}{5} ÷ \frac{7}{6}\) \(= \frac{18}{35}\)

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.

\( \frac{1}{4}\) \(= 25\)%

Circle Area

Find the area of a circle that has a radius of 4cm. Give your answer to three significant figures.

50.3cm²

Circle Circumference

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

69.1cm

Decimals (Adding)

Calculate the value of:

6.8 + 6.4

= 13.2

Decimals (Subtracting)

Calculate the value of:

5.2 − 3.9

= 1.3

Decimals (Multiplying)

Calculate the value of:

7.6 × 6.9

= 52.44

Decimals (Dividing)

Calculate the value of:

152 ÷ 16

= 9.5

Indices (Simple)

What is the value of:

4²

= 16

Indices (Advanced)

What is the value of:

\(4^{1}\)

\(= 4\)

Basic Addition

Calculate the value of:

58 + 45

= 103

Basic Subtraction

Calculate the value of:

93 − 26

= 67

Basic Multiplication

Calculate the value of:

52 × 35

= 1820

Basic Division 2

Calculate the value of:

1496 ÷ 17

= 88

Percentage (Of)

Find the value of:

30% of 320

= 96

Standard Form 1

Find the value of:

7.67 × 10⁴

= 76700

Highest Common Factor

Find the highest common factor of thirty two and eight.

= 8

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:

\( \frac{14}{28}\) \(= \frac{1}{2}\)

Fractions (Mixed)

Evaluate:

\( 3\frac{3}{4} − \frac{6}{7}\) \(= 2\frac{25}{28}\)

Pythagoras

Find AB if AC = 5.7m and BC = 7m. 4.06m

Trigonometry (Angle)

Find angle BCA if AC = 4.8m and BC = 6m. 36.9^o

Trigonometry (Side)

Find AC if angle ABC = 69^o and AB = 3.6m. 9.38m

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.

\( \frac{1}{4}\) \(= 0.25\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.16\) = \( \frac{4}{25}\)

Percentage (Increase)

Increase £20 by 15%

£23

Lowest Common Multiple

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

= 63

Sequence (Arithmetic)

4,15,26,37,48...

Find the:
a) next term; 59
b) n^th term; 11n - 7
c) term number 33; 356

Sequence (Geometric)

5,15,45,135,405...

Find the:
a) next term; 1215
b) n^th term; 5 × 3^n-1
c) term number 8; 10935

Interest (Simple)

If £220 is invested for 8 years with a simple interest rate of 4%, find the amount of interest earned. £70.40

Interest (Compound)

If £120 is invested with an interest rate of 2% compounded annually, find the value of the investment after 9 years. £143.41

Currency Exchange

If £1 is worth $1.25, convert:

a) £220 to dollars; $275.00

b) $200 to pounds; £160.00

Coordinates (Midpoint)

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

\((1,-4) \text{ and } (7,6)\)

(4,1)

Gradient

What is the gradient of the line joining:

\((2,9) \text{ and } (7,13)\)

\(\frac{4}{5}\)

Coordinates (Square)

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

\((5,3),(11,7),(1,9)\)

(7,13)

Negative Numbers

a) 8 − 20 = -12
b) 8 × (-6) = -48
c) (7−19)(9−14) = 60
d) 48 ÷ (-6) = -8
e) (-9)² = 81

Substitution

If p = 5, q = 25 and
r = -7 evaluate:

a) 2q − p = 45
b) pq + r = 118
c) p² − 5q - r = -93

Equations (Type 1)

Solve:

\(3x = 24\)

\(x = 8\)

Equations (Type 2)

Solve:

\(4x +2= 38\)

\(x = 9\)

Equations (Type 3)

Solve:

\(8x +3= 4x + 23\)

\(x = 5\)

Equations (Type 4)

Solve:

\(5(4x +4)+7= 207\)

\(x = 9\)

Equations (Type 5)

Solve:

\(2(3x + 5)= 3(4x + 3)\)

\(x = 0.167 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(6x+5y = 72\)
\(5x-5y = 5\)

\(x = 7, y = 6\)

Equations (Simultaneous 2)

Solve:

\(4x-2y = 18\)
\(7x+8y = 66\)

\(x = 6, y = 3\)

Equations (Simultaneous 3)

Solve:

\(3x-7y = -35\)
\(5x+2y = 30.5\)

\(x = 3.5, y = 6.5\)

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:

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

{5}

Bearings

A plane flies from point A to point B on a bearing of 304^o. What bearing would it return on from B to A? 124^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:

5 + (5 × 6² − 2)

183

Simplify

Simplify the following by collecting like terms:

\(7d−3e−5d+7e\)

\(4e+2d\)

Ratio

Divide 78 in the ratio

8:5

48 and 30

Graph (Linear)

Draw a rough sketch of the graph of:

\(2y=x+2\)

Gradient 0.5
y intercept 1

Prime Factors

Express the following number as the product of prime numbers:

54

2 x 3 x 3 x 3

Percentage (Reverse)

In a sale an item costs £18 after a 10% reduction. What was the original price?

£20

Averages

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

6,7,8,9,10

Mean = 8, no mode,
median = 8 and range = 4

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.

0.585858... \(\frac{58}{99}\)

Percentage (Decrease)

Decrease £60 by 25%

£45

Brackets (Linear)

Expand:

\(5(2x-4)\)

\(10x-20\)

Brackets (Quadratic)

Expand:

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

\(4x^2-4x-8\)

Factorise (Linear)

Factorise:

\(63x-18\)

\(9(7x-2)\)

Factorise (Quadratic 1)

Factorise:

\(x^2+x-2\)

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

Factorise (Quadratic 2)

Factorise:

\(5x^2+16x-16\)

\((x+4)(5x-4)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

1.89 × 10^-3

= 0.00189

Standard Form 3

Write in standard form:

3920000

= 3.92 × 10⁶

Standard Form 4

Write in standard form:

0.0000201

= 2.01 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(9, 18, 29, 42, 57, \)

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

Standard Form 5

Multiply 4 × 10⁴
by 5 × 10⁵ and give the answer in standard form.

= 2 × 10¹⁰

Equations (Quadratic 1)

Solve:

\(x^2+x-20= 0\)

\(x = 4\) and \(-5\)

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 pentagon?

72°

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:

3496 ÷ 8

= 437

Number Sequences 2

What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5

Square Numbers

What is the difference between the 11th and the 12th square numbers?

23

Prime Numbers

What are the next three prime numbers after
17

19, 23, 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: 3, 3.33, 0.3, 3.3, 3.03, 0.33, 0.03, in ascending order.
0.03, 0.3, 0.33, 3, 3.03, 3.3, 3.33,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

i = 54

Angles with Parallels 2

i = 97

Rounding (1sf)

Round to one significant figure:
a) 55.13; 60
b) 710253; 700000
c) 67; 70
d) 0.00164; 0.002