Number Sequences 1

What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29

Factors

Find all the factors of:

43

1, 43.

Multiples

Subtract the 7th from the 10th multiples of:

5

15

Polygons

What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.

Heptagon, Octagon and Nonagon (all regular)

Rounding (3sf)

Round to three significant figures:
a) 91.81; 91.8
b) 880241; 880000
c) 59; 59.0
d) 0.005995; 0.00600

Area of a Triangle

Find the area of a triangle that has a base of 5cm and a height of 8cm.

20cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 15cm, a height of 8cm and a top (parallel to base) of 7cm. 88cm²

Fractions (Adding)

Evaluate:

\( \frac{4}{5} + \frac{7}{9}\) \(= 1\frac{26}{45}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{4} × \frac{5}{6}\) \(= \frac{5}{12}\)

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.

\( \frac{1}{2}\) \(= 50\)%

Circle Area

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

254cm²

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:

7.5 + 6.7

= 14.2

Decimals (Subtracting)

Calculate the value of:

6.3 − 2.8

= 3.5

Decimals (Multiplying)

Calculate the value of:

3.3 × 4.6

= 15.18

Decimals (Dividing)

Calculate the value of:

46.8 ÷ 12

= 3.9

Indices (Simple)

What is the value of:

2²

= 4

Indices (Advanced)

What is the value of:

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

\(= 1\)

Basic Addition

Calculate the value of:

67 + 28

= 95

Basic Subtraction

Calculate the value of:

61 − 29

= 32

Basic Multiplication

Calculate the value of:

52 × 65

= 3380

Basic Division 2

Calculate the value of:

1170 ÷ 26

= 45

Percentage (Of)

Find the value of:

80% of 240

= 192

Standard Form 1

Find the value of:

8.54 × 10³

= 8540

Highest Common Factor

Find the highest common factor of thirty two and sixteen.

= 16

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:

\( \frac{12}{24}\) \(= \frac{1}{2}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{4}{5} − \frac{6}{7}\) \(= \frac{33}{35}\)

Pythagoras

Find AC if AB = 5.3m and BC = 6.6m. 3.93m

Trigonometry (Angle)

Find angle ABC if AB = 4.9m and BC = 6m. 35.2^o

Trigonometry (Side)

Find AC if angle BCA = 65^o and AB = 5.3m. 2.47m

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.

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

Percentage (Increase)

Increase £180 by 30%

£234

Lowest Common Multiple

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

= 140

Sequence (Arithmetic)

7,16,25,34,43...

Find the:
a) next term; 52
b) n^th term; 9n - 2
c) term number 55; 493

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 £160 is invested for 6 years with a simple interest rate of 4%, find the amount of interest earned. £38.40

Interest (Compound)

If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 9 years. £218.74

Currency Exchange

If £1 is worth $1.21, convert:

a) £240 to dollars; $290.40

b) $180 to pounds; £148.76

Coordinates (Midpoint)

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

\((-3,1) \text{ and } (7,13)\)

(2,7)

Gradient

What is the gradient of the line joining:

\((-4,-9) \text{ and } (-1,-5)\)

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

Coordinates (Square)

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

\((3,5),(8,11),(-3,10)\)

(2,16)

Negative Numbers

a) 6 − 12 = -6
b) 6 × (-8) = -48
c) (7−14)(11−20) = 63
d) 48 ÷ (-8) = -6
e) (-9)² = 81

Substitution

If p = 5, q = 18 and
r = -7 evaluate:

a) 2q − p = 31
b) pq + r = 83
c) p² − 5q - r = -58

Equations (Type 1)

Solve:

\(3x = 18\)

\(x = 6\)

Equations (Type 2)

Solve:

\(3x -9= 6\)

\(x = 5\)

Equations (Type 3)

Solve:

\(8x -6= 3x + 29\)

\(x = 7\)

Equations (Type 4)

Solve:

\(5(2x +6)+7= 107\)

\(x = 7\)

Equations (Type 5)

Solve:

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

\(x = -0.375\)

Equations (Simultaneous 1)

Solve:

\(5x-4y = 18\)
\(4x+4y = 36\)

\(x = 6, y = 3\)

Equations (Simultaneous 2)

Solve:

\(4x-2y = 4\)
\(7x-4y = 6\)

\(x = 2, y = 2\)

Equations (Simultaneous 3)

Solve:

\(2x-5y = -4\)
\(3x+2y = 22.5\)

\(x = 5.5, y = 3\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

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

{5,7,9}

Bearings

A plane flies from point A to point B on a bearing of 083^o. What bearing would it return on from B to A? 263^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:

(13 − 5)² + 4 × 2

72

Simplify

Simplify the following by collecting like terms:

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

\(11m+15\)

Ratio

Divide 120 in the ratio

7:5

70 and 50

Graph Linear (1)

Draw a rough sketch of the graph of:

\(y=2x\)

Gradient 2
y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

6

2 x 3

Percentage (Reverse)

In a sale an item costs £144 after a 20% reduction. What was the original price?

£180

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.

0.646464... \(\frac{64}{99}\)

Percentage (Decrease)

Decrease £120 by 15%

£102

Brackets (Linear)

Expand:

\(9(5x-6)\)

\(45x-54\)

Brackets (Quadratic)

Expand:

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

\(16x^2-4x-2\)

Factorise (Linear)

Factorise:

\(4x-8\)

\(4(x-2)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-16\)

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

Factorise (Quadratic 2)

Factorise:

\(x^2-16\)

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

6.99 × 10^-5

= 0.0000699

Standard Form 3

Write in standard form:

2610

= 2.61 × 10³

Standard Form 4

Write in standard form:

0.097

= 9.7 × 10^-2

Sequence (Quadratic)

Find the n^th term:

\(0, 15, 36, 63, 96, \)

\(3n^2+6n-9\)

Standard Form 5

Multiply 4 × 10⁵
by 6 × 10³ and give the answer in standard form.

= 2.4 × 10⁹

Equations (Quadratic 1)

Solve:

\(x^2+2x-8= 0\)

\(x = 2\) and \(-4\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(4x^2-5x-5 = 0\)

\(x = 1.91\) and \(-0.656\)

Polygon Angles

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

128.6°

Change The Subject

Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$

$$g=h(e-d)$$

Basic Division 1

Calculate the value of:

1338 ÷ 3

= 446

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
64

49, 36, 25

Prime Numbers

What is the 11th prime number?

31

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: 0.22, 2.2, 2, 0.2, 2.22, 2.02, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

d = 99

Angles with Parallels 2

d = 91

Rounding (1sf)

Round to one significant figure:
a) 34.18; 30
b) 360650; 400000
c) 72; 70
d) 0.00422; 0.004

Estimation

Round each value to one significant figure to make an estimate:$$4.9 \times 23 - 172$$\(5 \times 20 - 200 = -100\)

Pie Charts (1)

A pie chart shows the colours of 40 books. What sector angle represents the
21 red books?
189°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 60 hats. How many green hats are represented
by a sector
angle of 12°?
2

Surds (1)

Simplify:
$$\sqrt{45}$$
\(3\sqrt{5}\)

Surds (2)

Simplify:
$$\dfrac{3}{4\sqrt{2}}$$\(\dfrac{3\sqrt{2}}{8}\)

Surds (3)

Simplify:
$$\dfrac{8}{3 + \sqrt{6}}$$\(\frac{24 - 8\sqrt{6}}{3}\)