Number Sequences 1

What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13

Factors

Find all the factors of:

46

1, 2, 23, 46.

Multiples

Subtract the 4th from the 8th multiples of:

3

12

Polygons

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

Square, Pentagon and Hexagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 89.16; 89.2
b) 719311; 719000
c) 0.005195; 0.00520

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 15cm, a height of 8cm and a top (parallel to base) of 5cm. 80cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{5} + \frac{8}{9}\) \(= 1\frac{22}{45}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{3} × \frac{4}{5}\) \(= \frac{8}{15}\)

Fractions (Dividing)

Evaluate:

\( \frac{3}{4} ÷ \frac{6}{5}\) \(= \frac{5}{8}\)

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.

\( \frac{5}{8}\) \(= 62.5\)%

Circle Area

Find the area of a circle that has a radius of 4cm. Give your answer to three significant figures.

50.3cm²

Circle Circumference

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

31.4cm

Decimals (Adding)

Calculate the value of:

6.7 + 4.7

= 11.4

Decimals (Subtracting)

Calculate the value of:

5.1 − 4.8

= 0.3

Decimals (Multiplying)

Calculate the value of:

9.3 × 4.2

= 39.06

Decimals (Dividing)

Calculate the value of:

107.9 ÷ 13

= 8.3

Indices (Simple)

What is the value of:

3³

= 27

Indices (Advanced)

What is the value of:

\(1^{-1}\)

\(= 1\)

Basic Addition

Calculate the value of:

78 + 96

= 174

Basic Subtraction

Calculate the value of:

54 − 29

= 25

Basic Multiplication

Calculate the value of:

82 × 64

= 5248

Basic Division 2

Calculate the value of:

1258 ÷ 17

= 74

Percentage (Of)

Find the value of:

45% of 60

= 27

Standard Form 1

Find the value of:

9.53 × 10³

= 9530

Highest Common Factor

Find the highest common factor of thirty six and eight.

= 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:

\( \frac{24}{48}\) \(= \frac{1}{2}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{2}{3} − \frac{6}{7}\) \(= \frac{17}{21}\)

Pythagoras

Find AB if AC = 6m and BC = 7.3m. 4.16m

Trigonometry (Angle)

Find angle ABC if AC = 5.9m and AB = 7.5m. 38.2^o

Trigonometry (Side)

Find BC if angle BCA = 68^o and AB = 4.4m. 4.75m

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.

\(0.16\) = \( \frac{4}{25}\)

Percentage (Increase)

Increase £140 by 30%

£182

Lowest Common Multiple

What is the lowest common multiple of four and ten.

= 20

Sequence (Arithmetic)

4,13,22,31,40...

Find the:
a) next term; 49
b) n^th term; 9n - 5
c) term number 47; 418

Sequence (Geometric)

6,24,96,384,1536...

Find the:
a) next term; 6144
b) n^th term; 6 × 4^n-1
c) term number 12; 25165824

Interest (Simple)

If £140 is invested for 6 years with a simple interest rate of 2%, find the amount of interest earned. £16.80

Interest (Compound)

If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 4 years. £208.12

Currency Exchange

If £1 is worth $1.35, convert:

a) £120 to dollars; $162.00

b) $240 to pounds; £177.78

Coordinates (Midpoint)

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

\((7,-8) \text{ and } (15,2)\)

(11,-3)

Gradient

What is the gradient of the line joining:

\((5,2) \text{ and } (10,5)\)

\(\frac{3}{5}\)

Coordinates (Square)

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

\((3,4),(7,7),(0,8)\)

(4,11)

Negative Numbers

a) 7 − 13 = -6
b) 7 × (-12) = -84
c) (9−14)(11−17) = 30
d) 84 ÷ (-12) = -7
e) (-5)² = 25

Substitution

If p = 5, q = 18 and
r = -6 evaluate:

a) 2q − p = 31
b) pq + r = 84
c) p² − 5q - r = -59

Equations (Type 1)

Solve:

\(5x = 15\)

\(x = 3\)

Equations (Type 2)

Solve:

\(2x -2= 4\)

\(x = 3\)

Equations (Type 3)

Solve:

\(5x +6= 4x + 15\)

\(x = 9\)

Equations (Type 4)

Solve:

\(5(4x +4)-9= 191\)

\(x = 9\)

Equations (Type 5)

Solve:

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

\(x = -0.143 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(4x-4y = 4\)
\(5x-4y = 7\)

\(x = 3, y = 2\)

Equations (Simultaneous 2)

Solve:

\(2x+3y = 31\)
\(5x+6y = 67\)

\(x = 5, y = 7\)

Equations (Simultaneous 3)

Solve:

\(5x-3y = 39.5\)
\(3x-2y = 25.5\)

\(x = 2.5, y = -9\)

Sets (Union)

Find the union of:

{1,3,5,7,9} and
{2,6,12}

{1,2,3,5,6,7,9,12}

Sets (Intersection)

Find the intersection of:

{1,3,5,7,9} and
{5,6,7,8,9,10}

{5,7,9}

Bearings

A plane flies from point A to point B on a bearing of 190^o. What bearing would it return on from B to A? 010^o

Probability

A number is picked at random from the set

{2,6,12}

what is the probability it is even? 1

BIDMAS

Evaluate:

9 + 5 × 5 − 3

31

Simplify

Simplify the following by collecting like terms:

\(7d−3e−5d+7e\)

\(4e+2d\)

Ratio

Divide 48 in the ratio

2:4

16 and 32

Graph (Linear)

Draw a rough sketch of the graph of:

\(y=2x+1\)

Gradient 2
y intercept 1

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 £78 after a 35% reduction. What was the original price?

£120

Averages

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

5,3,7,5,10

Mean = 6, mode = 5,
median = 5 and range = 7

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.

0.545454... \(\frac{6}{11}\)

Percentage (Decrease)

Decrease £120 by 10%

£108

Brackets (Linear)

Expand:

\(5(8x-6)\)

\(40x-30\)

Brackets (Quadratic)

Expand:

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

\(x^2+x-6\)

Factorise (Linear)

Factorise:

\(42x-18\)

\(6(7x-3)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-1\)

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

Factorise (Quadratic 2)

Factorise:

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

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

2.4 × 10^-5

= 0.000024

Standard Form 3

Write in standard form:

6620

= 6.62 × 10³

Standard Form 4

Write in standard form:

0.000882

= 8.82 × 10^-4

Sequence (Quadratic)

Find the n^th term:

\(11, 23, 39, 59, 83, \)

\(2n^2+6n+3\)

Standard Form 5

Multiply 4 × 10⁵
by 5 × 10² and give the answer in standard form.

= 2 × 10⁸

Equations (Quadratic 1)

Solve:

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

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

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(3x^2+3x-4 = 0\)

\(x = 0.758\) and \(-1.76\)

Polygon Angles

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

45°

Change The Subject

Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$

$$d=\frac{3e+1}{2}$$

Basic Division 1

Calculate the value of:

1328 ÷ 4

= 332

Number Sequences 2

What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8

Square Numbers

What is the square of

10

100

Prime Numbers

What is the difference between the 10th and the 11th prime numbers?

31 - 29 = 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: 0.33, 3.33, 3.03, 3, 3.3, 0.3, 0.03, in ascending order.
0.03, 0.3, 0.33, 3, 3.03, 3.3, 3.33,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

i = 54

Angles with Parallels 2

d = 91