Number Sequences 1

What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31

Factors

Find all the factors of:

36

1, 2, 3, 4, 6, 9, 12, 18, 36.

Multiples

Subtract the 7th from the 10th multiples of:

8

24

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) 19.86; 19.9
b) 207891; 208000
c) 0.005795; 0.00580

Area of a Triangle

Find the area of a triangle that has a base of 5cm and a height of 9cm.

22.5cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 12cm, a height of 11cm and a top (parallel to base) of 6cm. 99cm²

Fractions (Adding)

Evaluate:

\( \frac{1}{3} + \frac{5}{6}\) \(= 1\frac{1}{6}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{3} × \frac{4}{6}\) \(= \frac{4}{9}\)

Fractions (Dividing)

Evaluate:

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

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.

\( \frac{4}{5}\) \(= 80\)%

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 10cm. Give your answer to three significant figures.

62.8cm

Decimals (Adding)

Calculate the value of:

5.8 + 5.7

= 11.5

Decimals (Subtracting)

Calculate the value of:

8.1 − 3.7

= 4.4

Decimals (Multiplying)

Calculate the value of:

2.6 × 9.6

= 24.96

Decimals (Dividing)

Calculate the value of:

43.5 ÷ 15

= 2.9

Indices (Simple)

What is the value of:

4²

= 16

Indices (Advanced)

What is the value of:

\(4^{-1}\)

\(= \frac{1}{4}\)

Basic Addition

Calculate the value of:

68 + 26

= 94

Basic Subtraction

Calculate the value of:

62 − 28

= 34

Basic Multiplication

Calculate the value of:

95 × 72

= 6840

Basic Division 2

Calculate the value of:

1200 ÷ 25

= 48

Percentage (Of)

Find the value of:

60% of 100

= 60

Standard Form 1

Find the value of:

7.68 × 10³

= 7680

Highest Common Factor

Find the highest common factor of twenty four and eight.

= 8

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:

\( \frac{8}{20}\) \(= \frac{2}{5}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{4}{5} − \frac{7}{8}\) \(= \frac{37}{40}\)

Pythagoras

Find BC if AB = 4m and AC = 5.8m. 7.05m

Trigonometry (Angle)

Find angle BCA if AB = 3.3m and AC = 4.4m. 36.9^o

Trigonometry (Side)

Find AC if angle ABC = 69^o and AB = 5.9m. 15.4m

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.

\( \frac{3}{4}\) \(= 0.75\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.48\) = \( \frac{12}{25}\)

Percentage (Increase)

Increase £80 by 40%

£112

Lowest Common Multiple

What is the lowest common multiple of eight and fourteen.

= 56

Sequence (Arithmetic)

4,11,18,25,32...

Find the:
a) next term; 39
b) n^th term; 7n - 3
c) term number 35; 242

Sequence (Geometric)

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

Find the:
a) next term; 972
b) n^th term; 4 × 3^n-1
c) term number 12; 708588

Interest (Simple)

If £180 is invested for 7 years with a simple interest rate of 2%, find the amount of interest earned. £25.20

Interest (Compound)

If £160 is invested with an interest rate of 2% compounded annually, find the value of the investment after 7 years. £183.79

Currency Exchange

If £1 is worth $1.36, convert:

a) £120 to dollars; $163.20

b) $100 to pounds; £73.53

Coordinates (Midpoint)

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

\((-7,6) \text{ and } (5,16)\)

(-1,11)

Gradient

What is the gradient of the line joining:

\((-5,-6) \text{ and } (-2,-1)\)

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

Coordinates (Square)

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

\((3,1),(8,4),(0,6)\)

(5,9)

Negative Numbers

a) 8 − 17 = -9
b) 8 × (-11) = -88
c) (10−19)(12−19) = 63
d) 88 ÷ (-11) = -8
e) (-11)² = 121

Substitution

If p = 5, q = 23 and
r = -9 evaluate:

a) 2q − p = 41
b) pq + r = 106
c) p² − 5q - r = -81

Equations (Type 1)

Solve:

\(3x = 27\)

\(x = 9\)

Equations (Type 2)

Solve:

\(4x +2= 34\)

\(x = 8\)

Equations (Type 3)

Solve:

\(6x +4= 3x + 10\)

\(x = 2\)

Equations (Type 4)

Solve:

\(4(2x +4)-10= 62\)

\(x = 7\)

Equations (Type 5)

Solve:

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

\(x = -2\)

Equations (Simultaneous 1)

Solve:

\(5x+5y = 45\)
\(2x-5y = -3\)

\(x = 6, y = 3\)

Equations (Simultaneous 2)

Solve:

\(2x+5y = 38\)
\(5x+20y = 140\)

\(x = 4, y = 6\)

Equations (Simultaneous 3)

Solve:

\(3x+5y = 14\)
\(5x+3y = 34\)

\(x = 8, y = -2\)

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
{5,6,7,8,9,10}

{5}

Bearings

A plane flies from point A to point B on a bearing of 105^o. What bearing would it return on from B to A? 285^o

Probability

A number is picked at random from the set

{2,3,5,7,11,13}

what is the probability it is even? \(\frac16\)

BIDMAS

Evaluate:

9 + (6 × 3² − 6)

57

Simplify

Simplify the following by collecting like terms:

\(6m+7+5m+8\)

\(11m+15\)

Ratio

Divide 70 in the ratio

1:9

7 and 63

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:

120

2 x 2 x 2 x 3 x 5

Percentage (Reverse)

In a sale an item costs £56 after a 30% reduction. What was the original price?

£80

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.

0.919191... \(\frac{91}{99}\)

Percentage (Decrease)

Decrease £20 by 15%

£17

Brackets (Linear)

Expand:

\(9(7x-6)\)

\(63x-54\)

Brackets (Quadratic)

Expand:

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

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

Factorise (Linear)

Factorise:

\(10x-15\)

\(5(2x-3)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-x-6\)

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

Factorise (Quadratic 2)

Factorise:

\(4x^2+7x-2\)

\((x+2)(4x-1)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

7.19 × 10^-5

= 0.0000719

Standard Form 3

Write in standard form:

9190000

= 9.19 × 10⁶

Standard Form 4

Write in standard form:

0.0478

= 4.78 × 10^-2

Sequence (Quadratic)

Find the n^th term:

\(14, 28, 48, 74, 106, \)

\(3n^2+5n+6\)

Standard Form 5

Multiply 5 × 10⁴
by 7 × 10³ and give the answer in standard form.

= 3.5 × 10⁸

Equations (Quadratic 1)

Solve:

\(x^2-x-12= 0\)

\(x = 4\) and \(-3\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

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

\(x = 2.85\) and \(-0.351\)

Polygon Angles

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

120°

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:

945 ÷ 3

= 315

Number Sequences 2

What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55

Square Numbers

What are the three largest square numbers less than
81

64, 49, 36

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: 8.8, 0.8, 8.88, 8.08, 0.88, 8, 0.08, in ascending order.
0.08, 0.8, 0.88, 8, 8.08, 8.8, 8.88,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

e = 69

Angles with Parallels 2

i = 97