Number Sequences 1

What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23

Factors

Find all the factors of:

26

1, 2, 13, 26.

Multiples

Subtract the 5th from the 10th multiples of:

10

50

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 (3sf)

Round to three significant figures:
a) 62.52; 62.5
b) 966965; 967000
c) 69; 69.0
d) 0.006995; 0.00700

Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 11cm.

38.5cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 9cm, a height of 6cm and a top (parallel to base) of 3cm. 36cm²

Fractions (Adding)

Evaluate:

$\frac{3}{5} + \frac{8}{10}$ $= 1\frac{2}{5}$

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

$\frac{3}{5} ÷ \frac{7}{6}$ $= \frac{18}{35}$

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.

$\frac{4}{7}$ $= 57.1$%

Circle Area

Find the area of a circle that has a radius of 12cm. Give your answer to three significant figures.

452cm²

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:

3.9 + 5.5

= 9.4

Decimals (Subtracting)

Calculate the value of:

7.4 − 2.6

= 4.8

Decimals (Multiplying)

Calculate the value of:

6.2 × 6.2

= 38.44

Decimals (Dividing)

Calculate the value of:

40.6 ÷ 14

= 2.9

Indices (Simple)

What is the value of:

2²

= 4

Indices (Advanced)

What is the value of:

$4^{0}$

$= 1$

Basic Addition

Calculate the value of:

76 + 39

= 115

Basic Subtraction

Calculate the value of:

83 − 25

= 58

Basic Multiplication

Calculate the value of:

32 × 89

= 2848

Basic Division 2

Calculate the value of:

1575 ÷ 25

= 63

Percentage (Of)

Find the value of:

95% of 100

= 95

Standard Form 1

Find the value of:

5.58 × 10⁵

= 558000

Highest Common Factor

Find the highest common factor of twenty seven and nine.

= 9

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:

$\frac{27}{36}$ $= \frac{3}{4}$

Fractions (Mixed)

Evaluate:

$2\frac{3}{4} − \frac{7}{8}$ $= 1\frac{7}{8}$

Pythagoras

Find AB if AC = 5.4m and BC = 6.9m. 4.30m

Trigonometry (Angle)

Find angle ABC if AC = 3.6m and BC = 4.8m. 48.6^o

Trigonometry (Side)

Find BC if angle BCA = 24^o and AC = 5.4m. 5.91m

Roman Numerals (1-12)

VII - III

Give your answer in Roman numerals.

IV

Roman Numerals (60-100)

LXIX - LIX

Give your answer in Roman numerals.

X

Roman Numerals (Large)

MMMDCCCXCIV - MCXLIX

Give your answer in Roman numerals.

MMDCCXLV

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.

$0.38$ = $\frac{19}{50}$

Percentage (Increase)

Increase £160 by 20%

£192

Lowest Common Multiple

What is the lowest common multiple of fifteen and thirty.

= 30

Sequence (Arithmetic)

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

Find the:
a) next term; 47
b) n^th term; 9n - 7
c) term number 41; 362

Sequence (Geometric)

6,18,54,162,486...

Find the:
a) next term; 1458
b) n^th term; 6 × 3^n-1
c) term number 10; 118098

Interest (Simple)

If £100 is invested for 8 years with a simple interest rate of 5%, find the amount of interest earned. £40.00

Interest (Compound)

If £120 is invested with an interest rate of 3% compounded annually, find the value of the investment after 5 years. £139.11

Currency Exchange

If £1 is worth $1.36, convert:

a) £140 to dollars; $190.40

b) $120 to pounds; £88.24

Coordinates (Midpoint)

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

$(3,5) \text{ and } (9,15)$

(6,10)

Gradient

What is the gradient of the line joining:

$(-6,-6) \text{ and } (-2,0)$

$\frac{3}{2}$

Coordinates (Square)

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

$(1,4),(6,8),(-3,9)$

(2,13)

Negative Numbers

a) 5 − 11 = -6
b) 5 × (-5) = -25
c) (7−12)(12−19) = 35
d) 25 ÷ (-5) = -5
e) (-11)² = 121

Substitution

If p = 6, q = 17 and
r = -6 evaluate:

a) 2q − p = 28
b) pq + r = 96
c) p² − 5q - r = -43

Equations (Type 1)

Solve:

$3x = 27$

$x = 9$

Equations (Type 2)

Solve:

$2x +2= 18$

$x = 8$

Equations (Type 3)

Solve:

$5x +2= 3x + 16$

$x = 7$

Equations (Type 4)

Solve:

$2(3x -5)-7= 31$

$x = 8$

Equations (Type 5)

Solve:

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

$x = -2.5$

Equations (Simultaneous 1)

Solve:

$4x-4y = -4$
$2x-4y = -8$

$x = 2, y = 3$

Equations (Simultaneous 2)

Solve:

$4x-2y = 2$
$6x+8y = 80$

$x = 4, y = 7$

Equations (Simultaneous 3)

Solve:

$5x-3y = 29.5$
$3x+2y = -7$

$x = 2, y = -6.5$

Sets (Union)

Find the union of:

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

{3,4,5,6,7,8,9,10}

Sets (Intersection)

Find the intersection of:

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

∅

Bearings

A plane flies from point A to point B on a bearing of 061^o. What bearing would it return on from B to A? 241^o

Probability

A number is picked at random from the set

{1,3,6,10,15}

what is the probability it is even? $\frac25$

BIDMAS

Evaluate:

9 + 8 × 8 − 5

68

Simplify

Simplify the following by collecting like terms:

$5a−5−4a−5$

$a-10$

Ratio

Divide 49 in the ratio

1:6

7 and 42

Graph Linear (1)

Draw a rough sketch of the graph of:

$y=-x+2$

Gradient -1
y intercept 2

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 £102 after a 15% reduction. What was the original price?

£120

Averages

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

7,7,2,7,7

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

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.

0.333333... $\frac{1}{3}$

Percentage (Decrease)

Decrease £160 by 30%

£112

Brackets (Linear)

Expand:

$3(6x-2)$

$18x-6$

Brackets (Quadratic)

Expand:

$(4x+4)(4x-3)$

$16x^2+4x-12$

Factorise (Linear)

Factorise:

$4x-16$

$4(x-4)$

Factorise (Quadratic 1)

Factorise:

$x^2-x-2$

$(x+1)(x-2)$

Factorise (Quadratic 2)

Factorise:

$3x^2+10x-8$

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

6.09 × 10^-3

= 0.00609

Standard Form 3

Write in standard form:

3980

= 3.98 × 10³

Standard Form 4

Write in standard form:

0.0000926

= 9.26 × 10^-5

Sequence (Quadratic)

Find the n^th term:

$0, 9, 20, 33, 48,$

$n^2+6n-7$

Standard Form 5

Multiply 9 × 10⁵
by 9 × 10⁵ and give the answer in standard form.

= 8.1 × 10¹¹

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:

$5x^2+4x-2 = 0$

$x = 0.348$ and $-1.15$

Polygon Angles

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

135°

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:

2373 ÷ 3

= 791

Number Sequences 2

What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89

Square Numbers

What are the three largest square numbers less than
81

64, 49, 36

Prime Numbers

What are the three largest prime numbers less than
23

19, 17, 13

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: 1.1, 0.1, 1.11, 1, 0.11, 1.01, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

c = 81

Angles with Parallels 2

e = 63

Rounding (1sf)

Round to one significant figure:
a) 70.23; 70
b) 291064; 300000
c) 49; 50
d) 0.00808; 0.008

Estimation

Round each value to one significant figure to make an estimate: $$2.5 \times 42 - 182$$ $3 \times 40 - 200 = -80$

Pie Charts (1)

A pie chart shows the colours of 45 books. What sector angle represents the
14 red books?
112°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 6 hats. How many green hats are represented
by a sector
angle of 240°?
4