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:

50

1, 2, 5, 10, 25, 50.

Multiples

Subtract the 5th from the 9th multiples of:

11

44

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

Round the following numbers to three significant figures:
a) 58.58; 58.6
b) 774012; 774000
c) 0.005895; 0.00590

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 9cm.

27cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 5cm and a top (parallel to base) of 6cm. 50cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{6} + \frac{8}{9}\) \(= 1\frac{7}{18}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{1}{2} ÷ \frac{5}{3}\) \(= \frac{3}{10}\)

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.

\( \frac{1}{6}\) \(= 16.7\)%

Circle Area

Find the area of a circle that has a radius of 10cm. Give your answer to three significant figures.

314cm²

Circle Circumference

Find the circumference of a circle that has a radius of 9cm. Give your answer to three significant figures.

56.5cm

Decimals (Adding)

Calculate the value of:

4.7 + 5.4

= 10.1

Decimals (Subtracting)

Calculate the value of:

8.2 − 3.9

= 4.3

Decimals (Multiplying)

Calculate the value of:

3.3 × 2.6

= 8.58

Decimals (Dividing)

Calculate the value of:

57.8 ÷ 17

= 3.4

Indices (Simple)

What is the value of:

2³

= 8

Indices (Advanced)

What is the value of:

\(2^{0}\)

\(= 1\)

Basic Addition

Calculate the value of:

75 + 69

= 144

Basic Subtraction

Calculate the value of:

92 − 28

= 64

Basic Multiplication

Calculate the value of:

44 × 84

= 3696

Basic Division 2

Calculate the value of:

1615 ÷ 17

= 95

Percentage (Of)

Find the value of:

95% of 300

= 285

Standard Form 1

Find the value of:

5.53 × 10⁶

= 5530000

Highest Common Factor

Find the highest common factor of forty five and twenty.

= 5

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:

\( \frac{21}{28}\) \(= \frac{3}{4}\)

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find AC if AB = 5.6m and BC = 6.7m. 3.68m

Trigonometry (Angle)

Find angle ABC if AC = 5.5m and AB = 7.3m. 37.0^o

Trigonometry (Side)

Find AC if angle ABC = 25^o and AB = 3.1m. 1.45m

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.

\( \frac{5}{6}\) \(= 0.833\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.44\) = \( \frac{11}{25}\)

Percentage (Increase)

Increase £160 by 40%

£224

Lowest Common Multiple

What is the lowest common multiple of twelve and fifteen.

= 60

Sequence (Arithmetic)

2,11,20,29,38...

Find the:
a) next term; 47
b) n^th term; 9n - 7
c) term number 29; 254

Sequence (Geometric)

4,12,36,108,324...

Find the:
a) next term; 972
b) n^th term; 4 × 3^n-1
c) term number 9; 26244

Interest (Simple)

If £160 is invested for 5 years with a simple interest rate of 4%, find the amount of interest earned. £32.00

Interest (Compound)

If £200 is invested with an interest rate of 3% compounded annually, find the value of the investment after 4 years. £225.10

Currency Exchange

If £1 is worth $1.32, convert:

a) £240 to dollars; $316.80

b) $180 to pounds; £136.36

Coordinates (Midpoint)

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

\((4,1) \text{ and } (12,13)\)

(8,7)

Gradient

What is the gradient of the line joining:

\((2,-4) \text{ and } (8,-1)\)

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

Coordinates (Square)

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

\((4,3),(9,7),(0,8)\)

(5,12)

Negative Numbers

a) 11 − 17 = -6
b) 11 × (-11) = -121
c) (8−17)(8−15) = 63
d) 121 ÷ (-11) = -11
e) (-7)² = 49

Substitution

If p = 6, q = 22 and
r = -7 evaluate:

a) 2q − p = 38
b) pq + r = 125
c) p² − 5q - r = -67

Equations (Type 1)

Solve:

\(4x = 28\)

\(x = 7\)

Equations (Type 2)

Solve:

\(5x +5= 45\)

\(x = 8\)

Equations (Type 3)

Solve:

\(6x +3= 2x + 19\)

\(x = 4\)

Equations (Type 4)

Solve:

\(5(4x -2)+8= 38\)

\(x = 2\)

Equations (Type 5)

Solve:

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

\(x = -1.17 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(3x+2y = 26\)
\(2x-2y = -6\)

\(x = 4, y = 7\)

Equations (Simultaneous 2)

Solve:

\(2x-5y = 0\)
\(6x+20y = 70\)

\(x = 5, y = 2\)

Equations (Simultaneous 3)

Solve:

\(3x-7y = 22.5\)
\(5x-2y = -20.5\)

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

Sets (Union)

Find the union of:

{1,3,5,7,9} and
{1,3,6,10,15}

{1,3,5,6,7,9,10,15}

Sets (Intersection)

Find the intersection of:

{1,2,3,4,5} and
{6,7,8,9,10}

∅

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

{1,2,3,4,5}

what is the probability it is even? \(\frac25\)

BIDMAS

Evaluate:

8 + (9 × 7² − 3)

446

Simplify

Simplify the following by collecting like terms:

\(7d−3e−5d+7e\)

\(4e+2d\)

Ratio

Divide 96 in the ratio

1:7

12 and 84

Graph (Linear)

Draw a rough sketch of the graph of:

\(2y=x\)

Gradient 0.5
y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

540

2 x 2 x 3 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £96 after a 40% reduction. What was the original price?

£160

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.

0.212121... \(\frac{7}{33}\)

Percentage (Decrease)

Decrease £120 by 45%

£66

Brackets (Linear)

Expand:

\(5(7x-4)\)

\(35x-20\)

Brackets (Quadratic)

Expand:

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

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

Factorise (Linear)

Factorise:

\(6x-18\)

\(6(x-3)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-9\)

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

Factorise (Quadratic 2)

Factorise:

\(5x^2+11x-12\)

\((x+3)(5x-4)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

6.23 × 10^-5

= 0.0000623

Standard Form 3

Write in standard form:

68900

= 6.89 × 10⁴

Standard Form 4

Write in standard form:

0.0000604

= 6.04 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(1, 10, 21, 34, 49, \)

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

Standard Form 5

Multiply 4 × 10⁴
by 8 × 10³ and give the answer in standard form.

= 3.2 × 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:

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

\(x = 1.42\) and \(-0.422\)

Polygon Angles

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

135°

Change The Subject

Make \(b\) the subject of the formula
$$c=3b-5$$

$$b=\frac{c+5}{3}$$

Basic Division 1

Calculate the value of:

8199 ÷ 9

= 911

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 root of

144

12

Prime Numbers

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

17 - 13 = 4

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: 5, 5.5, 0.5, 5.55, 5.05, 0.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

j = 97

Angles with Parallels 2

h = 75