Number Sequences 1

What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37

Factors

Find all the factors of:

31

1, 31.

Multiples

Subtract the 7th from the 10th multiples of:

4

12

Polygons

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

Equilateral Triangle, Square and Pentagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 38.21; 38.2
b) 557243; 557000
c) 0.001595; 0.00160

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 11cm.

33cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 12cm, a height of 6cm and a top (parallel to base) of 6cm. 54cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{4} + \frac{6}{8}\) \(= 1\frac{1}{2}\)

Fractions (Multiplying)

Evaluate:

\( \frac{1}{3} × \frac{4}{5}\) \(= \frac{4}{15}\)

Fractions (Dividing)

Evaluate:

\( \frac{1}{3} ÷ \frac{5}{4}\) \(= \frac{4}{15}\)

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.

\( \frac{2}{6}\) \(= 33.3\)%

Circle Area

Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.

3.14cm²

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:

5.6 + 3.4

= 9

Decimals (Subtracting)

Calculate the value of:

6.2 − 3.6

= 2.6

Decimals (Multiplying)

Calculate the value of:

9.7 × 6.2

= 60.14

Decimals (Dividing)

Calculate the value of:

72.2 ÷ 19

= 3.8

Indices (Simple)

What is the value of:

2³

= 8

Indices (Advanced)

What is the value of:

4^-1

= 0.25

Basic Addition

Calculate the value of:

98 + 38

= 136

Basic Subtraction

Calculate the value of:

53 − 27

= 26

Basic Multiplication

Calculate the value of:

77 × 32

= 2464

Basic Division 2

Calculate the value of:

1683 ÷ 17

= 99

Percentage (Of)

Find the value of:

70% of 40

= 28

Standard Form 1

Find the value of:

1.49 × 10²

= 149

Highest Common Factor

Find the highest common factor of sixteen and ten.

= 2

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:

\( \frac{20}{30}\) \(= \frac{2}{3}\)

Fractions (Mixed)

Evaluate:

\( 2\frac{2}{3} − \frac{4}{5}\) \(= 1\frac{13}{15}\)

Pythagoras

Find AC if AB = 3.8m and BC = 4.8m. 2.93m

Trigonometry (Angle)

Find angle BCA if AB = 4m and AC = 5.8m. 34.6^o

Trigonometry (Side)

Find AB if angle ABC = 61^o and BC = 4.6m. 2.23m

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.

\( \frac{2}{7}\) \(= 0.286\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.45\) = \( \frac{9}{20}\)

Percentage (Increase)

Increase £100 by 15%

£115

Lowest Common Multiple

What is the lowest common multiple of ten and twenty five.

= 50

Sequence (Arithmetic)

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

Find the:
a) next term; 34
b) n^th term; 6n - 2
c) term number 50; 298

Sequence (Geometric)

5,15,45,135,405...

Find the:
a) next term; 1215
b) n^th term; 5 × 3^n-1
c) term number 12; 885735

Interest (Simple)

If £240 is invested for 5 years with a simple interest rate of 6%, find the amount of interest earned. £72.00

Interest (Compound)

If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 7 years. £214.43

Currency Exchange

If £1 is worth $1.59, convert:

a) £160 to dollars; $254.40

b) $220 to pounds; £138.36

Coordinates (Midpoint)

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

\((-9,-1) \text{ and } (-1,5)\)

(-5,2)

Gradient

What is the gradient of the line joining:

\((-7,1) \text{ and } (-4,7)\)

2

Coordinates (Square)

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

\((3,1),(8,6),(-2,6)\)

(3,11)

Negative Numbers

a) 5 − 15 = -10
b) 5 × (-6) = -30
c) (11−17)(7−13) = 36
d) 30 ÷ (-6) = -5
e) (-9)² = 81

Substitution

If p = 6, q = 21 and
r = -6 evaluate:

a) 2q − p = 36
b) pq + r = 120
c) p² − 5q - r = -63

Equations (Type 1)

Solve:

\(2x = 6\)

\(x = 3\)

Equations (Type 2)

Solve:

\(3x +7= 34\)

\(x = 9\)

Equations (Type 3)

Solve:

\(6x -5= 3x + 10\)

\(x = 5\)

Equations (Type 4)

Solve:

\(4(4x -5)+11= 23\)

\(x = 2\)

Equations (Type 5)

Solve:

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

\(x = -1\)

Equations (Simultaneous 1)

Solve:

\(2x+5y = 36\)
\(5x-5y = -15\)

\(x = 3, y = 6\)

Equations (Simultaneous 2)

Solve:

\(4x+5y = 50\)
\(7x-10y = -25\)

\(x = 5, y = 6\)

Equations (Simultaneous 3)

Solve:

\(5x-3y = 41\)
\(3x+2y = -11.5\)

\(x = 2.5, y = -9.5\)

Sets (Union)

Find the union of:

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

{1,2,3,4,5,6,8,10}

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 261^o. What bearing would it return on from B to A? 081^o

Probability

A number is picked at random from the set

{2,4,6,8,10}

what is the probability it is even? 1

BIDMAS

Evaluate:

(15 − 2)² + 6 × 5

199

Simplify

Simplify the following by collecting like terms:

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

\(11b+9c\)

Ratio

Divide 154 in the ratio

8:3

112 and 42

Graph (Linear)

Draw a rough sketch of the graph of:

\(2y=x-2\)

Gradient 0.5
y intercept -1

Prime Factors

Express the following number as the product of prime numbers:

24

2 x 2 x 2 x 3

Percentage (Reverse)

In a sale an item costs £120 after a 25% reduction. What was the original price?

£160

Averages

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

2,4,6,8,10

Mean = 6, no mode,
median = 6 and range = 8

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.

0.343434... \(\frac{34}{99}\)

Percentage (Decrease)

Decrease £140 by 40%

£84

Brackets (Linear)

Expand:

\(3(9x-4)\)

\(27x-12\)

Brackets (Quadratic)

Expand:

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

\(4x^2-10x-6\)

Factorise (Linear)

Factorise:

\(27x-6\)

\(3(9x-2)\)

Factorise (Quadratic 1)

Factorise:

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

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

Factorise (Quadratic 2)

Factorise:

\(5x^2+6x-8\)

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

9.42 × 10^-5

= 0.0000942

Standard Form 3

Write in standard form:

7110

= 7.11 × 10³

Standard Form 4

Write in standard form:

0.00273

= 2.73 × 10^-3

Sequence (Quadratic)

Find the n^th term:

\(16, 28, 46, 70, 100, \)

\(3n^2+3n+10\)

Standard Form 5

Multiply 7 × 10⁴
by 9 × 10⁶ and give the answer in standard form.

= 6.3 × 10¹¹

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:

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

\(x = 0.425\) and \(-1.18\)

Polygon Angles

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

72°

Change The Subject

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

$$c=\frac{2d-1}{3}$$

Basic Division 1

Calculate the value of:

4674 ÷ 6

= 779

Number Sequences 2

What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21

Square Numbers

What is the square root of

144

12

Prime Numbers

What are the three largest prime numbers less than
19

17, 13, 11

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: 6.06, 0.6, 6.66, 6.6, 0.66, 6, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,

Lengths (Ordering)

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

Capacities (Ordering)

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