Number Sequences 1

What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17

Factors

Find all the factors of:

43

1, 43.

Multiples

Subtract the 4th from the 9th multiples of:

6

30

Polygons

What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.

Octagon, Nonagon and Decagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 42.94; 42.9
b) 975211; 975000
c) 0.002395; 0.00240

Area of a Triangle

Find the area of a triangle that has a base of 3cm and a height of 7cm.

10.5cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 12cm and a top (parallel to base) of 6cm. 120cm²

Fractions (Adding)

Evaluate:

\( \frac{4}{5} + \frac{8}{9}\) \(= 1\frac{31}{45}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{3} × \frac{5}{6}\) \(= \frac{5}{9}\)

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.

\( \frac{3}{6}\) \(= 50\)%

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 8cm. Give your answer to three significant figures.

50.3cm

Decimals (Adding)

Calculate the value of:

4.9 + 7.4

= 12.3

Decimals (Subtracting)

Calculate the value of:

9.1 − 3.7

= 5.4

Decimals (Multiplying)

Calculate the value of:

9.4 × 5.8

= 54.52

Decimals (Dividing)

Calculate the value of:

102.6 ÷ 19

= 5.4

Indices (Simple)

What is the value of:

5²

= 25

Indices (Advanced)

What is the value of:

\(3^{0}\)

\(= 1\)

Basic Addition

Calculate the value of:

96 + 86

= 182

Basic Subtraction

Calculate the value of:

81 − 28

= 53

Basic Multiplication

Calculate the value of:

42 × 58

= 2436

Basic Division 2

Calculate the value of:

1674 ÷ 18

= 93

Percentage (Of)

Find the value of:

65% of 300

= 195

Standard Form 1

Find the value of:

4.56 × 10⁴

= 45600

Highest Common Factor

Find the highest common factor of twenty four 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:

\( \frac{14}{21}\) \(= \frac{2}{3}\)

Fractions (Mixed)

Evaluate:

\( 3\frac{4}{5} − \frac{7}{8}\) \(= 2\frac{37}{40}\)

Pythagoras

Find BC if AB = 3.9m and AC = 5.3m. 6.58m

Trigonometry (Angle)

Find angle BCA if AB = 5.7m and AC = 7.4m. 37.6^o

Trigonometry (Side)

Find AB if angle ABC = 44^o and BC = 4.5m. 3.24m

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.

\( \frac{4}{6}\) \(= 0.667\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.71\) = \( \frac{71}{100}\)

Percentage (Increase)

Increase £180 by 45%

£261

Lowest Common Multiple

What is the lowest common multiple of nine and eighteen.

= 18

Sequence (Arithmetic)

5,16,27,38,49...

Find the:
a) next term; 60
b) n^th term; 11n - 6
c) term number 38; 412

Sequence (Geometric)

6,18,54,162,486...

Find the:
a) next term; 1458
b) n^th term; 6 × 3^n-1
c) term number 9; 39366

Interest (Simple)

If £160 is invested for 9 years with a simple interest rate of 6%, find the amount of interest earned. £86.40

Interest (Compound)

If £100 is invested with an interest rate of 3% compounded annually, find the value of the investment after 9 years. £130.48

Currency Exchange

If £1 is worth $1.23, convert:

a) £200 to dollars; $246.00

b) $200 to pounds; £162.60

Coordinates (Midpoint)

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

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

(-3,-3)

Gradient

What is the gradient of the line joining:

\((-1,6) \text{ and } (5,11)\)

\(\frac{5}{6}\)

Coordinates (Square)

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

\((1,1),(4,4),(-2,4)\)

(1,7)

Negative Numbers

a) 11 − 20 = -9
b) 11 × (-8) = -88
c) (11−18)(11−18) = 49
d) 88 ÷ (-8) = -11
e) (-6)² = 36

Substitution

If p = 5, q = 25 and
r = -11 evaluate:

a) 2q − p = 45
b) pq + r = 114
c) p² − 5q - r = -89

Equations (Type 1)

Solve:

\(3x = 15\)

\(x = 5\)

Equations (Type 2)

Solve:

\(3x +4= 25\)

\(x = 7\)

Equations (Type 3)

Solve:

\(7x -2= 5x + 16\)

\(x = 9\)

Equations (Type 4)

Solve:

\(4(3x -3)+11= 59\)

\(x = 5\)

Equations (Type 5)

Solve:

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

\(x = 1\)

Equations (Simultaneous 1)

Solve:

\(4x+3y = 26\)
\(3x-3y = 9\)

\(x = 5, y = 2\)

Equations (Simultaneous 2)

Solve:

\(4x+5y = 58\)
\(6x-10y = -18\)

\(x = 7, y = 6\)

Equations (Simultaneous 3)

Solve:

\(2x+3y = 0\)
\(3x+2y = -7.5\)

\(x = -4.5, y = 3\)

Sets (Union)

Find the union of:

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

{2,3,4,5,6,7,8,10}

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 212^o. What bearing would it return on from B to A? 032^o

Probability

A number is picked at random from the set

{2,6,12}

what is the probability it is even? 1

BIDMAS

Evaluate:

8 + (6 × 8² − 7)

385

Simplify

Simplify the following by collecting like terms:

\(3x+5x^2-8x+x^2\)

\(6x^2-5x\)

Ratio

Divide 132 in the ratio

7:4

84 and 48

Graph (Linear)

Draw a rough sketch of the graph of:

\(2y=x+4\)

Gradient 0.5
y intercept 2

Prime Factors

Express the following number as the product of prime numbers:

60

2 x 2 x 3 x 5

Percentage (Reverse)

In a sale an item costs £45 after a 25% reduction. What was the original price?

£60

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.

0.757575... \(\frac{25}{33}\)

Percentage (Decrease)

Decrease £160 by 20%

£128

Brackets (Linear)

Expand:

\(7(8x-2)\)

\(56x-14\)

Brackets (Quadratic)

Expand:

\((2x+1)(2x-4)\)

\(4x^2-6x-4\)

Factorise (Linear)

Factorise:

\(10x-45\)

\(5(2x-9)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-x-6\)

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

Factorise (Quadratic 2)

Factorise:

\(6x^2+5x-4\)

\((3x+4)(2x-1)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

2.74 × 10^-5

= 0.0000274

Standard Form 3

Write in standard form:

9340000

= 9.34 × 10⁶

Standard Form 4

Write in standard form:

0.0416

= 4.16 × 10^-2

Sequence (Quadratic)

Find the n^th term:

\(11, 20, 31, 44, 59, \)

\(n^2+6n+4\)

Standard Form 5

Multiply 7 × 10²
by 9 × 10⁶ and give the answer in standard form.

= 6.3 × 10⁹

Equations (Quadratic 1)

Solve:

\(x^2+x-6= 0\)

\(x = 2\) and \(-3\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(5x^2-x-1 = 0\)

\(x = 0.558\) and \(-0.358\)

Polygon Angles

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

45°

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:

3845 ÷ 5

= 769

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

2

4

Prime Numbers

What are the three largest prime numbers less than
37

31, 29, 23

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: 2.2, 0.22, 2.02, 0.2, 2, 2.22, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

h = 75

Angles with Parallels 2

d = 91