Number Sequences 1

What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11

Factors

Find all the factors of:

42

1, 2, 3, 6, 7, 14, 21, 42.

Multiples

Subtract the 6th from the 11th multiples of:

5

25

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) 26.36; 26.4
b) 258360; 258000
c) 0.007695; 0.00770

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 10cm.

30cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 11cm, a height of 10cm and a top (parallel to base) of 3cm. 70cm²

Fractions (Adding)

Evaluate:

\( \frac{2}{4} + \frac{7}{8}\) \(= 1\frac{3}{8}\)

Fractions (Multiplying)

Evaluate:

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

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.

\( \frac{5}{6}\) \(= 83.3\)%

Circle Area

Find the area of a circle that has a radius of 5cm. Give your answer to three significant figures.

78.5cm²

Circle Circumference

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

44.0cm²

Decimals (Adding)

Calculate the value of:

3.5 + 4.7

= 8.2

Decimals (Subtracting)

Calculate the value of:

9.1 − 1.5

= 7.6

Decimals (Multiplying)

Calculate the value of:

5.7 × 3.9

= 22.23

Decimals (Dividing)

Calculate the value of:

111.6 ÷ 18

= 6.2

Indices (Simple)

What is the value of:

4³

= 64

Indices (Advanced)

What is the value of:

1^-2

= 1

Basic Addition

Calculate the value of:

98 + 37

= 135

Basic Subtraction

Calculate the value of:

81 − 27

= 54

Basic Multiplication

Calculate the value of:

56 × 93

= 5208

Basic Division 2

Calculate the value of:

1768 ÷ 26

= 68

Percentage (Of)

Find the value of:

90% of 220

= 198

Standard Form 1

Find the value of:

9.47 × 10²

= 947

Highest Common Factor

Find the highest common factor of twelve and four.

= 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:

\( \frac{15}{20}\) \(= \frac{3}{4}\)

Fractions (Mixed)

Evaluate:

\( 3\frac{4}{5} − \frac{8}{9}\) \(= 2\frac{41}{45}\)

Pythagoras

Find AB if AC = 4.3m and BC = 5.8m. 3.89m

Trigonometry (Angle)

Find angle BCA if AC = 3.3m and BC = 4.7m. 45.4^o

Trigonometry (Side)

Find AC if angle BCA = 58^o and AB = 4.6m. 2.87m

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.

\( \frac{3}{8}\) \(= 0.375\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.39\) = \( \frac{39}{100}\)

Percentage (Increase)

Increase £80 by 40%

£112

Lowest Common Multiple

What is the lowest common multiple of six and twenty four.

= 24

Sequence (Arithmetic)

4,10,16,22,28...

Find the:
a) next term; 34
b) n^th term; 6n - 2
c) term number 35; 208

Sequence (Geometric)

5,20,80,320,1280...

Find the:
a) next term; 5120
b) n^th term; 5 × 4^n-1
c) term number 9; 327680

Interest (Simple)

If £120 is invested for 6 years with a simple interest rate of 5%, find the amount of interest earned. £36.00

Interest (Compound)

If £100 is invested with an interest rate of 6% compounded annually, find the value of the investment after 5 years. £133.82

Currency Exchange

If £1 is worth $1.46, convert:

a) £100 to dollars; $146.00

b) $220 to pounds; £150.68

Coordinates (Midpoint)

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

\((-3,-6) \text{ and } (3,2)\)

(0,-2)

Gradient

What is the gradient of the line joining:

\((2,6) \text{ and } (6,10)\)

1

Coordinates (Square)

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

\((3,5),(6,9),(-1,8)\)

(2,12)

Negative Numbers

a) 9 − 21 = -12
b) 9 × (-8) = -72
c) (7−12)(9−16) = 35
d) 72 ÷ (-8) = -9
e) (-9)² = 81

Substitution

If p = 6, q = 26 and
r = -5 evaluate:

a) 2q − p = 46
b) pq + r = 151
c) p² − 5q - r = -89

Equations (Type 1)

Solve:

\(5x = 35\)

\(x = 7\)

Equations (Type 2)

Solve:

\(4x -8= 4\)

\(x = 3\)

Equations (Type 3)

Solve:

\(9x +5= 4x + 50\)

\(x = 9\)

Equations (Type 4)

Solve:

\(5(3x -5)-7= 28\)

\(x = 4\)

Equations (Type 5)

Solve:

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

\(x = -0.429 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(3x-3y = -12\)
\(2x-3y = -15\)

\(x = 3, y = 7\)

Equations (Simultaneous 2)

Solve:

\(4x-5y = 1\)
\(5x+15y = 65\)

\(x = 4, y = 3\)

Equations (Simultaneous 3)

Solve:

\(3x-5y = -49.5\)
\(5x-6y = -68.5\)

\(x = -6.5, y = 6\)

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:

{1,2,3,4,5} and
{1,3,6,10,15}

{1,3}

Bearings

A plane flies from point A to point B on a bearing of 038^o. What bearing would it return on from B to A? 218^o

Probability

A number is picked at random from the set

{2,6,12}

what is the probability it is even? 1

BIDMAS

Evaluate:

5 + 4 × 5 − 2

23

Simplify

Simplify the following by collecting like terms:

\(3a+5b-3a+4b^2\)

\(5b+4b^2\)

Ratio

Divide 84 in the ratio

4:3

48 and 36

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:

6

2 x 3

Percentage (Reverse)

In a sale an item costs £11 after a 45% reduction. What was the original price?

£20

Averages

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

2,6,12,6,14

Mean = 8, mode = 6,
median = 6 and range = 12

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.

0.474747... \(\frac{47}{99}\)

Percentage (Decrease)

Decrease £180 by 5%

£171

Brackets (Linear)

Expand:

\(2(4x-4)\)

\(8x-8\)

Brackets (Quadratic)

Expand:

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

\(2x^2-2\)

Factorise (Linear)

Factorise:

\(14x-21\)

\(7(2x-3)\)

Factorise (Quadratic 1)

Factorise:

\(x^2+x-12\)

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

Factorise (Quadratic 2)

Factorise:

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

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

8.94 × 10^-3

= 0.00894

Standard Form 3

Write in standard form:

8360

= 8.36 × 10³

Standard Form 4

Write in standard form:

0.000375

= 3.75 × 10^-4

Sequence (Quadratic)

Find the n^th term:

\(-2, 9, 26, 49, 78, \)

\(3n^2+2n-7\)

Standard Form 5

Multiply 5 × 10⁴
by 6 × 10³ and give the answer in standard form.

= 3 × 10⁸

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:

\(5x^2+x-3 = 0\)

\(x = 0.681\) and \(-0.881\)

Polygon Angles

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

72°

Change The Subject

Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$

$$h=4(e+5)$$

Basic Division 1

Calculate the value of:

3220 ÷ 5

= 644

Number Sequences 2

What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13

Square Numbers

What is the difference between the 6th and the 7th square numbers?

13

Prime Numbers

What are the next three prime numbers after
13

17, 19, 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.