Number Sequences 1

What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19

Factors

Find all the factors of:

46

1, 2, 23, 46.

Multiples

Subtract the 5th from the 10th multiples of:

5

25

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 (3sf)

Round to three significant figures:
a) 62.94; 62.9
b) 718240; 718000
c) 53; 53.0
d) 0.005395; 0.00540

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 11cm and a top (parallel to base) of 6cm. 110cm²

Fractions (Adding)

Evaluate:

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

Fractions (Multiplying)

Evaluate:

$\frac{3}{5} × \frac{7}{9}$ $= \frac{7}{15}$

Fractions (Dividing)

Evaluate:

$\frac{1}{3} ÷ \frac{7}{5}$ $= \frac{5}{21}$

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.

$\frac{3}{5}$ $= 60$%

Circle Area

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

78.5cm²

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 + 3.6

= 8.3

Decimals (Subtracting)

Calculate the value of:

6.2 − 2.8

= 3.4

Decimals (Multiplying)

Calculate the value of:

6.7 × 3.6

= 24.12

Decimals (Dividing)

Calculate the value of:

87.1 ÷ 13

= 6.7

Indices (Simple)

What is the value of:

4²

= 16

Indices (Advanced)

What is the value of:

$1^{\frac{1}{2}}$

$= 1$

Basic Addition

Calculate the value of:

35 + 24

= 59

Basic Subtraction

Calculate the value of:

74 − 29

= 45

Basic Multiplication

Calculate the value of:

27 × 46

= 1242

Basic Division 2

Calculate the value of:

1650 ÷ 22

= 75

Percentage (Of)

Find the value of:

70% of 120

= 84

Standard Form 1

Find the value of:

6.64 × 10³

= 6640

Highest Common Factor

Find the highest common factor of thirty six and twelve.

= 12

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:

$\frac{24}{30}$ $= \frac{4}{5}$

Fractions (Mixed)

Evaluate:

$1\frac{1}{2} − \frac{5}{6}$ $= \frac{2}{3}$

Pythagoras

Find AC if AB = 3.1m and BC = 4.4m. 3.12m

Trigonometry (Angle)

Find angle ABC if AC = 3m and BC = 5m. 36.9^o

Trigonometry (Side)

Find AC if angle ABC = 31^o and AB = 5.9m. 3.55m

Roman Numerals (1-12)

VI - III

Give your answer in Roman numerals.

III

Roman Numerals (60-100)

LXXIX - XXX

Give your answer in Roman numerals.

XLIX

Roman Numerals (Large)

MMDCCLXX - MDCLXXX

Give your answer in Roman numerals.

MXC

Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$\frac{1}{6}$ $= 0.167$

Decimal to Fraction

Convert this decimal to a fraction.

$0.72$ = $\frac{18}{25}$

Percentage (Increase)

Increase £160 by 35%

£216

Lowest Common Multiple

What is the lowest common multiple of twenty and forty.

= 40

Sequence (Arithmetic)

5,12,19,26,33...

Find the:
a) next term; 40
b) n^th term; 7n - 2
c) term number 54; 376

Sequence (Geometric)

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

Find the:
a) next term; 1458
b) n^th term; 6 × 3^n-1
c) term number 9; 39366

Interest (Simple)

If £160 is invested for 7 years with a simple interest rate of 3%, find the amount of interest earned. £33.60

Interest (Compound)

If £120 is invested with an interest rate of 4% compounded annually, find the value of the investment after 4 years. £140.38

Currency Exchange

If £1 is worth $1.27, convert:

a) £220 to dollars; $279.40

b) $180 to pounds; £141.73

Coordinates (Midpoint)

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

$(6,9) \text{ and } (16,17)$

(11,13)

Gradient

What is the gradient of the line joining:

$(1,-7) \text{ and } (4,-3)$

$\frac{4}{3}$

Coordinates (Square)

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

$(2,4),(8,8),(-2,10)$

(4,14)

Negative Numbers

a) 9 − 19 = -10
b) 9 × (-7) = -63
c) (11−17)(5−11) = 36
d) 63 ÷ (-7) = -9
e) (-8)² = 64

Substitution

If p = 6, q = 25 and
r = -10 evaluate:

a) 2q − p = 44
b) pq + r = 140
c) p² − 5q - r = -79

Equations (Type 1)

Solve:

$3x = 6$

$x = 2$

Equations (Type 2)

Solve:

$2x +6= 18$

$x = 6$

Equations (Type 3)

Solve:

$8x +5= 3x + 20$

$x = 3$

Equations (Type 4)

Solve:

$3(3x +5)-11= 49$

$x = 5$

Equations (Type 5)

Solve:

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

$x = -1$

Equations (Simultaneous 1)

Solve:

$2x+5y = 43$
$5x+5y = 55$

$x = 4, y = 7$

Equations (Simultaneous 2)

Solve:

$2x+4y = 14$
$6x-8y = 2$

$x = 3, y = 2$

Equations (Simultaneous 3)

Solve:

$5x-3y = 9.5$
$3x-2y = 5$

$x = 4, y = 3.5$

Sets (Union)

Find the union of:

{5,6,7,8,9,10} and
{1,3,6,10,15}

{1,3,5,6,7,8,9,10,15}

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 200^o. What bearing would it return on from B to A? 020^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 + 2 × 8 − 4

21

Simplify

Simplify the following by collecting like terms:

$3a+5b-3a+4b^2$

$5b+4b^2$

Ratio

Divide 110 in the ratio

2:9

20 and 90

Graph Linear (1)

Draw a rough sketch of the graph of:

$y=2x-2$

Gradient 2
y intercept -2

Prime Factors

Express the following number as the product of prime numbers:

18

2 x 3 x 3

Percentage (Reverse)

In a sale an item costs £44 after a 45% reduction. What was the original price?

£80

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.

0.262626... $\frac{26}{99}$

Percentage (Decrease)

Decrease £180 by 10%

£162

Brackets (Linear)

Expand:

$4(3x-6)$

$12x-24$

Brackets (Quadratic)

Expand:

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

$6x^2-3x-9$

Factorise (Linear)

Factorise:

$15x-35$

$5(3x-7)$

Factorise (Quadratic 1)

Factorise:

$x^2-x-12$

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

Factorise (Quadratic 2)

Factorise:

$16x^2+8x-3$

$(4x+3)(4x-1)$

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

3.19 × 10^-4

= 0.000319

Standard Form 3

Write in standard form:

175

= 1.75 × 10²

Standard Form 4

Write in standard form:

0.0000866

= 8.66 × 10^-5

Sequence (Quadratic)

Find the n^th term:

$-5, 3, 15, 31, 51,$

$2n^2+2n-9$

Standard Form 5

Multiply 5 × 10⁵
by 7 × 10⁵ and give the answer in standard form.

= 3.5 × 10¹¹

Equations (Quadratic 1)

Solve:

$x^2-x-30= 0$

$x = 6$ and $-5$

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

$4x^2-x-1 = 0$

$x = 0.640$ and $-0.390$

Polygon Angles

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

60°

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:

5816 ÷ 8

= 727

Number Sequences 2

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

Square Numbers

What are the next three square numbers after
100

121, 144, 169

Prime Numbers

What are the three largest prime numbers less than
13

11, 7, 5

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

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

c = 81

Angles with Parallels 2

i = 97

Rounding (1sf)

Round to one significant figure:
a) 60.04; 60
b) 779108; 800000
c) 34; 30
d) 0.00310; 0.003

Estimation

Round each value to one significant figure to make an estimate: $$3.5 \times 83 - 194$$ $4 \times 80 - 200 = 120$

Pie Charts (1)

A pie chart shows the colours of 18 books. What sector angle represents the
2 red books?
40°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 90 hats. How many green hats are represented
by a sector
angle of 252°?
63

Surds (1)

Simplify:
$$\sqrt{8}$$
$2\sqrt{2}$

Surds (2)

Simplify:
$$\dfrac{6}{\sqrt{11}}$$ $\dfrac{6\sqrt{11}}{11}$

Surds (3)

Simplify:
$$\dfrac{5}{3 - \sqrt{2}}$$ $\frac{15 + 5\sqrt{2}}{7}$