Number Sequences 1

What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29

Factors

Find all the factors of:

29

1, 29.

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) 88.04; 88.0
b) 179164; 179000
c) 0.001395; 0.00140

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 12cm, a height of 12cm and a top (parallel to base) of 4cm. 96cm²

Fractions (Adding)

Evaluate:

\( \frac{4}{7} + \frac{8}{10}\) \(= 1\frac{13}{35}\)

Fractions (Multiplying)

Evaluate:

\( \frac{3}{5} × \frac{7}{8}\) \(= \frac{21}{40}\)

Fractions (Dividing)

Evaluate:

\( \frac{1}{3} ÷ \frac{6}{4}\) \(= \frac{2}{9}\)

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.

\( \frac{2}{4}\) \(= 50\)%

Circle Area

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

254cm²

Circle Circumference

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

69.1cm²

Decimals (Adding)

Calculate the value of:

9.6 + 7.4

= 17

Decimals (Subtracting)

Calculate the value of:

5.4 − 2.9

= 2.5

Decimals (Multiplying)

Calculate the value of:

4.8 × 3.3

= 15.84

Decimals (Dividing)

Calculate the value of:

75.2 ÷ 16

= 4.7

Indices (Simple)

What is the value of:

5³

= 125

Indices (Advanced)

What is the value of:

2^-1

= 0.5

Basic Addition

Calculate the value of:

26 + 86

= 112

Basic Subtraction

Calculate the value of:

93 − 25

= 68

Basic Multiplication

Calculate the value of:

36 × 77

= 2772

Basic Division 2

Calculate the value of:

1431 ÷ 27

= 53

Percentage (Of)

Find the value of:

65% of 140

= 91

Standard Form 1

Find the value of:

1.35 × 10⁵

= 135000

Highest Common Factor

Find the highest common factor of thirty five and fifteen.

= 5

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:

\( 2\frac{1}{2} − \frac{5}{6}\) \(= 1\frac{2}{3}\)

Pythagoras

Find AB if AC = 6m and BC = 7m. 3.61m

Trigonometry (Angle)

Find angle BCA if AB = 3.7m and BC = 5.2m. 45.4^o

Trigonometry (Side)

Find BC if angle BCA = 45^o and AB = 3.5m. 4.95m

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.

\(0.68\) = \( \frac{17}{25}\)

Percentage (Increase)

Increase £180 by 40%

£252

Lowest Common Multiple

What is the lowest common multiple of twenty and thirty five.

= 140

Sequence (Arithmetic)

7,21,35,49,63...

Find the:
a) next term; 77
b) n^th term; 14n - 7
c) term number 39; 539

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 £180 is invested for 9 years with a simple interest rate of 1%, find the amount of interest earned. £16.20

Interest (Compound)

If £100 is invested with an interest rate of 4% compounded annually, find the value of the investment after 9 years. £142.33

Currency Exchange

If £1 is worth $1.47, convert:

a) £160 to dollars; $235.20

b) $240 to pounds; £108.84

Coordinates (Midpoint)

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

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

(-1,-2)

Gradient

What is the gradient of the line joining:

\((0,-7) \text{ and } (4,-3)\)

1

Coordinates (Square)

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

\((4,2),(8,5),(1,6)\)

(5,9)

Negative Numbers

a) 9 − 17 = -8
b) 9 × (-7) = -63
c) (8−19)(5−15) = 110
d) 63 ÷ (-7) = -9
e) (-6)² = 36

Substitution

If p = 5, q = 22 and
r = -7 evaluate:

a) 2q − p = 39
b) pq + r = 103
c) p² − 5q - r = -78

Equations (Type 1)

Solve:

\(5x = 15\)

\(x = 3\)

Equations (Type 2)

Solve:

\(2x +8= 22\)

\(x = 7\)

Equations (Type 3)

Solve:

\(7x -6= 2x + 39\)

\(x = 9\)

Equations (Type 4)

Solve:

\(3(5x +6)+8= 56\)

\(x = 2\)

Equations (Type 5)

Solve:

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

\(x = -0.833 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(3x+5y = 40\)
\(2x+5y = 35\)

\(x = 5, y = 5\)

Equations (Simultaneous 2)

Solve:

\(4x+4y = 44\)
\(5x-16y = -92\)

\(x = 4, y = 7\)

Equations (Simultaneous 3)

Solve:

\(3x-3y = 9\)
\(5x-3y = 0\)

\(x = -4.5, y = -7.5\)

Sets (Union)

Find the union of:

{6,7,8,9,10} and
{2,6,12}

{2,6,7,8,9,10,12}

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 042^o. What bearing would it return on from B to A? 222^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:

30 ÷ 5 × 72 ÷ 8

54

Simplify

Simplify the following by collecting like terms:

\(3n+7−2n+8\)

\(n+15\)

Ratio

Divide 130 in the ratio

7:6

70 and 60

Graph (Linear)

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:

90

2 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £153 after a 15% reduction. What was the original price?

£180

Averages

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

5,8,8,6,7,8

Mean = 7, mode = 8,
median = 7.5 and range = 3

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.

0.919191... \(\frac{91}{99}\)

Percentage (Decrease)

Decrease £160 by 5%

£152

Brackets (Linear)

Expand:

\(6(2x-9)\)

\(12x-54\)

Brackets (Quadratic)

Expand:

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

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

Factorise (Linear)

Factorise:

\(30x-42\)

\(6(5x-7)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-9\)

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

Factorise (Quadratic 2)

Factorise:

\(12x^2-13x-4\)

\((4x+1)(3x-4)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

6.63 × 10^-2

= 0.0663

Standard Form 3

Write in standard form:

451000

= 4.51 × 10⁵

Standard Form 4

Write in standard form:

0.006

= 6 × 10^-3

Sequence (Quadratic)

Find the n^th term:

\(14, 24, 38, 56, 78, \)

\(2n^2+4n+8\)

Standard Form 5

Multiply 6 × 10⁴
by 8 × 10⁴ and give the answer in standard form.

= 4.8 × 10⁹

Equations (Quadratic 1)

Solve:

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

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

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

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

\(x = 0.225\) and \(-2.22\)

Polygon Angles

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

72°

Change The Subject

Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$

$$k=\frac{bc}{a}-2$$

Basic Division 1

Calculate the value of:

3580 ÷ 5

= 716

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 8th and the 9th square numbers?

17

Prime Numbers

What is the difference between the 7th and the 8th prime numbers?

19 - 17 = 2

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.