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:

49

1, 7, 49.

Multiples

Subtract the 4th from the 9th multiples of:

5

25

Polygons

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

Hexagon, Heptagon and Octagon (all regular)

Rounding (3sf)

Round to three significant figures:
a) 11.95; 12.0
b) 187125; 187000
c) 92; 92.0
d) 0.009295; 0.00930

Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 9cm.

18cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 13cm, a height of 8cm and a top (parallel to base) of 5cm. 72cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{4} + \frac{7}{10}\) \(= 1\frac{9}{20}\)

Fractions (Multiplying)

Evaluate:

\( \frac{3}{4} × \frac{6}{8}\) \(= \frac{9}{16}\)

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.

\( \frac{4}{8}\) \(= 50\)%

Circle Area

Find the area of a circle that has a radius of 7cm. Give your answer to three significant figures.

154cm²

Circle Circumference

Find the circumference of a circle that has a radius of 3cm. Give your answer to three significant figures.

18.8cm

Decimals (Adding)

Calculate the value of:

6.9 + 7.7

= 14.6

Decimals (Subtracting)

Calculate the value of:

7.4 − 4.8

= 2.6

Decimals (Multiplying)

Calculate the value of:

2.7 × 5.6

= 15.12

Decimals (Dividing)

Calculate the value of:

52.8 ÷ 12

= 4.4

Indices (Simple)

What is the value of:

1²

= 1

Indices (Advanced)

What is the value of:

\(3^{-3}\)

\(= \frac{1}{27}\)

Basic Addition

Calculate the value of:

29 + 59

= 88

Basic Subtraction

Calculate the value of:

94 − 27

= 67

Basic Multiplication

Calculate the value of:

23 × 64

= 1472

Basic Division 2

Calculate the value of:

1344 ÷ 24

= 56

Percentage (Of)

Find the value of:

90% of 360

= 324

Standard Form 1

Find the value of:

4.73 × 10⁴

= 47300

Highest Common Factor

Find the highest common factor of thirty two and twenty.

= 4

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:

\( 1\frac{4}{5} − \frac{6}{7}\) \(= \frac{33}{35}\)

Pythagoras

Find AB if AC = 4.6m and BC = 6m. 3.85m

Trigonometry (Angle)

Find angle BCA if AB = 5.8m and BC = 7m. 56.0^o

Trigonometry (Side)

Find AC if angle ABC = 25^o and BC = 4.5m. 1.90m

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.

\( \frac{1}{5}\) \(= 0.2\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.67\) = \( \frac{67}{100}\)

Percentage (Increase)

Increase £140 by 35%

£189

Lowest Common Multiple

What is the lowest common multiple of nine and fifteen.

= 45

Sequence (Arithmetic)

2,6,10,14,18...

Find the:
a) next term; 22
b) n^th term; 4n - 2
c) term number 45; 178

Sequence (Geometric)

4,8,16,32,64...

Find the:
a) next term; 128
b) n^th term; 4 × 2^n-1
c) term number 11; 4096

Interest (Simple)

If £100 is invested for 4 years with a simple interest rate of 6%, find the amount of interest earned. £24.00

Interest (Compound)

If £160 is invested with an interest rate of 4% compounded annually, find the value of the investment after 9 years. £227.73

Currency Exchange

If £1 is worth $1.36, convert:

a) £220 to dollars; $299.20

b) $220 to pounds; £161.76

Coordinates (Midpoint)

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

\((-1,1) \text{ and } (7,13)\)

(3,7)

Gradient

What is the gradient of the line joining:

\((4,3) \text{ and } (9,7)\)

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

Coordinates (Square)

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

\((3,4),(6,10),(-3,7)\)

(0,13)

Negative Numbers

a) 11 − 17 = -6
b) 11 × (-10) = -110
c) (11−17)(12−18) = 36
d) 110 ÷ (-10) = -11
e) (-8)² = 64

Substitution

If p = 6, q = 22 and
r = -6 evaluate:

a) 2q − p = 38
b) pq + r = 126
c) p² − 5q - r = -68

Equations (Type 1)

Solve:

\(3x = 9\)

\(x = 3\)

Equations (Type 2)

Solve:

\(4x -3= 13\)

\(x = 4\)

Equations (Type 3)

Solve:

\(9x -6= 5x + 22\)

\(x = 7\)

Equations (Type 4)

Solve:

\(3(3x -3)+11= 65\)

\(x = 7\)

Equations (Type 5)

Solve:

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

\(x = -1.2\)

Equations (Simultaneous 1)

Solve:

\(5x+2y = 18\)
\(4x-2y = 0\)

\(x = 2, y = 4\)

Equations (Simultaneous 2)

Solve:

\(2x+4y = 34\)
\(5x+8y = 73\)

\(x = 5, y = 6\)

Equations (Simultaneous 3)

Solve:

\(2x+5y = -29.5\)
\(3x-2y = 36.5\)

\(x = 6.5, y = -8.5\)

Sets (Union)

Find the union of:

{5,6,7,8,9,10} and
{2,3,5,7,11,13}

{2,3,5,6,7,8,9,10,11,13}

Sets (Intersection)

Find the intersection of:

{2,4,6,8,10} and
{1,3,6,10,15}

{6,10}

Bearings

A plane flies from point A to point B on a bearing of 242^o. What bearing would it return on from B to A? 062^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 + 2 × 5

235

Simplify

Simplify the following by collecting like terms:

\(3b+5c+8b+4c\)

\(11b+9c\)

Ratio

Divide 50 in the ratio

3:2

30 and 20

Graph (Linear)

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:

270

2 x 3 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £96 after a 20% reduction. What was the original price?

£120

Averages

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

1,3,1,10,5

Mean = 4, mode = 1,
median = 3 and range = 9

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.

0.333333... \(\frac{1}{3}\)

Percentage (Decrease)

Decrease £140 by 45%

£77

Brackets (Linear)

Expand:

\(4(7x-5)\)

\(28x-20\)

Brackets (Quadratic)

Expand:

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

\(8x^2-12x-8\)

Factorise (Linear)

Factorise:

\(6x-21\)

\(3(2x-7)\)

Factorise (Quadratic 1)

Factorise:

\(x^2+x-2\)

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

Factorise (Quadratic 2)

Factorise:

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

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

8.04 × 10^-3

= 0.00804

Standard Form 3

Write in standard form:

5970

= 5.97 × 10³

Standard Form 4

Write in standard form:

0.000275

= 2.75 × 10^-4

Sequence (Quadratic)

Find the n^th term:

\(4, 17, 36, 61, 92, \)

\(3n^2+4n-3\)

Standard Form 5

Multiply 8 × 10⁶
by 8 × 10³ and give the answer in standard form.

= 6.4 × 10¹⁰

Equations (Quadratic 1)

Solve:

\(x^2+2x-8= 0\)

\(x = 2\) and \(-4\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(3x^2-3x-1 = 0\)

\(x = 1.26\) and \(-0.264\)

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:

4805 ÷ 5

= 961

Number Sequences 2

What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144

Square Numbers

What is the square of

5

25

Prime Numbers

What is the 7th prime number?

17

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

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

f = 132

Angles with Parallels 2

j = 58

Rounding (1sf)

Round to one significant figure:
a) 34.22; 30
b) 831538; 800000
c) 32; 30
d) 0.00561; 0.006