Number Sequences 1

What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23

Factors

Find all the factors of:

48

1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Multiples

Subtract the 4th from the 9th multiples of:

7

35

Polygons

What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.

Pentagon, Hexagon and Heptagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 17.62; 17.6
b) 256353; 256000
c) 0.005095; 0.00510

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 14cm, a height of 10cm and a top (parallel to base) of 6cm. 100cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{4} + \frac{6}{7}\) \(= 1\frac{17}{28}\)

Fractions (Multiplying)

Evaluate:

\( \frac{3}{4} × \frac{5}{7}\) \(= \frac{15}{28}\)

Fractions (Dividing)

Evaluate:

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

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 to 3 significant figures.

\( \frac{3}{7}\) \(= 42.9\)%

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 12cm. Give your answer to three significant figures.

75.4cm

Decimals (Adding)

Calculate the value of:

3.9 + 8.9

= 12.8

Decimals (Subtracting)

Calculate the value of:

5.4 − 1.9

= 3.5

Decimals (Multiplying)

Calculate the value of:

7.6 × 5.3

= 40.28

Decimals (Dividing)

Calculate the value of:

54.4 ÷ 16

= 3.4

Indices (Simple)

What is the value of:

2²

= 4

Indices (Advanced)

What is the value of:

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

\(= 1\)

Basic Addition

Calculate the value of:

79 + 26

= 105

Basic Subtraction

Calculate the value of:

93 − 28

= 65

Basic Multiplication

Calculate the value of:

42 × 77

= 3234

Basic Division 2

Calculate the value of:

1246 ÷ 14

= 89

Percentage (Of)

Find the value of:

70% of 180

= 126

Standard Form 1

Find the value of:

7.09 × 10⁴

= 70900

Highest Common Factor

Find the highest common factor of twenty four 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:

\( \frac{25}{35}\) \(= \frac{5}{7}\)

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find BC if AB = 4.7m and AC = 5.7m. 7.39m

Trigonometry (Angle)

Find angle ABC if AC = 3.6m and AB = 4.7m. 37.5^o

Trigonometry (Side)

Find AC if angle ABC = 32^o and AB = 5.1m. 3.19m

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.

\( \frac{1}{2}\) \(= 0.5\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.41\) = \( \frac{41}{100}\)

Percentage (Increase)

Increase £180 by 15%

£207

Lowest Common Multiple

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

= 32

Sequence (Arithmetic)

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

Find the:
a) next term; 62
b) n^th term; 11n - 4
c) term number 41; 447

Sequence (Geometric)

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

Find the:
a) next term; 1215
b) n^th term; 5 × 3^n-1
c) term number 12; 885735

Interest (Simple)

If £120 is invested for 5 years with a simple interest rate of 1%, find the amount of interest earned. £6.00

Interest (Compound)

If £160 is invested with an interest rate of 2% compounded annually, find the value of the investment after 7 years. £183.79

Currency Exchange

If £1 is worth $1.21, convert:

a) £220 to dollars; $266.20

b) $180 to pounds; £148.76

Coordinates (Midpoint)

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

\((7,-9) \text{ and } (19,1)\)

(13,-4)

Gradient

What is the gradient of the line joining:

\((-4,5) \text{ and } (-1,11)\)

2

Coordinates (Square)

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

\((4,3),(10,8),(-1,9)\)

(5,14)

Negative Numbers

a) 9 − 16 = -7
b) 9 × (-11) = -99
c) (5−11)(9−21) = 72
d) 99 ÷ (-11) = -9
e) (-10)² = 100

Substitution

If p = 6, q = 21 and
r = -11 evaluate:

a) 2q − p = 36
b) pq + r = 115
c) p² − 5q - r = -58

Equations (Type 1)

Solve:

\(5x = 45\)

\(x = 9\)

Equations (Type 2)

Solve:

\(2x +9= 23\)

\(x = 7\)

Equations (Type 3)

Solve:

\(10x -4= 5x + 16\)

\(x = 4\)

Equations (Type 4)

Solve:

\(2(4x -3)+5= 15\)

\(x = 2\)

Equations (Type 5)

Solve:

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

\(x = 0.0588 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(2x+2y = 16\)
\(3x-2y = 9\)

\(x = 5, y = 3\)

Equations (Simultaneous 2)

Solve:

\(3x-3y = -6\)
\(5x-12y = -59\)

\(x = 5, y = 7\)

Equations (Simultaneous 3)

Solve:

\(3x+2y = 5\)
\(5x-7y = -48.5\)

\(x = -2, y = 5.5\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

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

{6,7,8}

Bearings

A plane flies from point A to point B on a bearing of 169^o. What bearing would it return on from B to A? 349^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:

5 + (2 × 5² − 5)

50

Simplify

Simplify the following by collecting like terms:

\(2y+2y^2-5y+y^2\)

\(3y^2-3y\)

Ratio

Divide 84 in the ratio

7:5

49 and 35

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:

360

2 x 2 x 2 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £102 after a 15% reduction. What was the original price?

£120

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.

0.565656... \(\frac{56}{99}\)

Percentage (Decrease)

Decrease £180 by 40%

£108

Brackets (Linear)

Expand:

\(4(3x-7)\)

\(12x-28\)

Brackets (Quadratic)

Expand:

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

\(4x^2-11x-3\)

Factorise (Linear)

Factorise:

\(10x-25\)

\(5(2x-5)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-16\)

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

Factorise (Quadratic 2)

Factorise:

\(5x^2+x-4\)

\((x+1)(5x-4)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

5.14 × 10^-2

= 0.0514

Standard Form 3

Write in standard form:

2080

= 2.08 × 10³

Standard Form 4

Write in standard form:

0.0000773

= 7.73 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(11, 22, 37, 56, 79, \)

\(2n^2+5n+4\)

Standard Form 5

Multiply 6 × 10⁶
by 7 × 10⁴ and give the answer in standard form.

= 4.2 × 10¹¹

Equations (Quadratic 1)

Solve:

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

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

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

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

\(x = 1.85\) and \(-1.35\)

Polygon Angles

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

36°

Change The Subject

Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$

$$g=h(e-d)$$

Basic Division 1

Calculate the value of:

3857 ÷ 7

= 551

Number Sequences 2

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

Square Numbers

What is the square of

12

144

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.

Angles

Calculate \(x\).

Decimals (Ordering)

Write down these numbers: 0.9, 0.99, 9.9, 9, 9.09, 9.99, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

e = 69

Angles with Parallels 2

h = 75