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:

29

1, 29.

Multiples

Subtract the 7th from the 10th multiples of:

6

18

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

Round the following numbers to three significant figures:
a) 58.79; 58.8
b) 201299; 201000
c) 0.005195; 0.00520

Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 10cm.

35cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 5cm and a top (parallel to base) of 4cm. 45cm²

Fractions (Adding)

Evaluate:

\( \frac{4}{5} + \frac{7}{8}\) \(= 1\frac{27}{40}\)

Fractions (Multiplying)

Evaluate:

\( \frac{3}{5} × \frac{7}{8}\) \(= \frac{21}{40}\)

Fractions (Dividing)

Evaluate:

\( \frac{2}{4} ÷ \frac{7}{6}\) \(= \frac{3}{7}\)

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.

\( \frac{5}{10}\) \(= 50\)%

Circle Area

Find the area of a circle that has a radius of 6cm. Give your answer to three significant figures.

113cm²

Circle Circumference

Find the circumference of a circle that has a radius of 4cm. Give your answer to three significant figures.

25.1cm²

Decimals (Adding)

Calculate the value of:

2.5 + 6.8

= 9.3

Decimals (Subtracting)

Calculate the value of:

8.2 − 3.5

= 4.7

Decimals (Multiplying)

Calculate the value of:

4.4 × 4.4

= 19.36

Decimals (Dividing)

Calculate the value of:

104 ÷ 16

= 6.5

Indices (Simple)

What is the value of:

2²

= 4

Indices (Advanced)

What is the value of:

4^-2

= 0.0625

Basic Addition

Calculate the value of:

37 + 69

= 106

Basic Subtraction

Calculate the value of:

93 − 25

= 68

Basic Multiplication

Calculate the value of:

85 × 72

= 6120

Basic Division 2

Calculate the value of:

936 ÷ 12

= 78

Percentage (Of)

Find the value of:

20% of 80

= 16

Standard Form 1

Find the value of:

9.35 × 10⁴

= 93500

Highest Common Factor

Find the highest common factor of thirty five and twenty.

= 5

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:

\( \frac{4}{12}\) \(= \frac{1}{3}\)

Fractions (Mixed)

Evaluate:

\( 3\frac{2}{3} − \frac{6}{7}\) \(= 2\frac{17}{21}\)

Pythagoras

Find AB if AC = 5.1m and BC = 6.5m. 4.03m

Trigonometry (Angle)

Find angle BCA if AB = 4.1m and AC = 5.8m. 35.3^o

Trigonometry (Side)

Find AB if angle ABC = 60^o and BC = 4.8m. 2.40m

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.

\( \frac{5}{8}\) \(= 0.625\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.84\) = \( \frac{21}{25}\)

Percentage (Increase)

Increase £100 by 40%

£140

Lowest Common Multiple

What is the lowest common multiple of four and twelve.

= 12

Sequence (Arithmetic)

3,12,21,30,39...

Find the:
a) next term; 48
b) n^th term; 9n - 6
c) term number 45; 399

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 £200 is invested for 5 years with a simple interest rate of 3%, find the amount of interest earned. £30.00

Interest (Compound)

If £140 is invested with an interest rate of 3% compounded annually, find the value of the investment after 4 years. £157.57

Currency Exchange

If £1 is worth $1.54, convert:

a) £140 to dollars; $215.60

b) $100 to pounds; £90.91

Coordinates (Midpoint)

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

\((5,-7) \text{ and } (13,3)\)

(9,-2)

Gradient

What is the gradient of the line joining:

\((2,-3) \text{ and } (5,2)\)

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

Coordinates (Square)

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

\((5,3),(8,8),(0,6)\)

(3,11)

Negative Numbers

a) 12 − 22 = -10
b) 12 × (-7) = -84
c) (12−17)(12−20) = 40
d) 84 ÷ (-7) = -12
e) (-9)² = 81

Substitution

If p = 5, q = 28 and
r = -5 evaluate:

a) 2q − p = 51
b) pq + r = 135
c) p² − 5q - r = -110

Equations (Type 1)

Solve:

\(4x = 20\)

\(x = 5\)

Equations (Type 2)

Solve:

\(3x +8= 32\)

\(x = 8\)

Equations (Type 3)

Solve:

\(4x +5= 2x + 15\)

\(x = 5\)

Equations (Type 4)

Solve:

\(3(3x +5)-12= 39\)

\(x = 4\)

Equations (Type 5)

Solve:

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

\(x = -0.417 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(6x-4y = 22\)
\(5x-4y = 17\)

\(x = 5, y = 2\)

Equations (Simultaneous 2)

Solve:

\(2x+5y = 37\)
\(4x-20y = -76\)

\(x = 6, y = 5\)

Equations (Simultaneous 3)

Solve:

\(7x+3y = -27\)
\(6x+3y = -21\)

\(x = -6, y = 5\)

Sets (Union)

Find the union of:

{2,4,6,8,10} and
{1,3,6,10,15}

{1,2,3,4,6,8,10,15}

Sets (Intersection)

Find the intersection of:

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

{6,10}

Bearings

A plane flies from point A to point B on a bearing of 296^o. What bearing would it return on from B to A? 116^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:

2² − 4 × 8 + 8

-20

Simplify

Simplify the following by collecting like terms:

\(2y+2y^2-5y+y^2\)

\(3y^2-3y\)

Ratio

Divide 130 in the ratio

5:8

50 and 80

Graph (Linear)

Draw a rough sketch of the graph of:

\(y=-x\)

Gradient -1
y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

45

3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £126 after a 10% reduction. What was the original price?

£140

Averages

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

1,3,1,10,5

Mean = 4, mode = 1,
median = 3 and range = 9

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.

0.565656... \(\frac{56}{99}\)

Percentage (Decrease)

Decrease £160 by 45%

£88

Brackets (Linear)

Expand:

\(3(8x-9)\)

\(24x-27\)

Brackets (Quadratic)

Expand:

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

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

Factorise (Linear)

Factorise:

\(4x-6\)

\(2(2x-3)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-4\)

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

Factorise (Quadratic 2)

Factorise:

\(10x^2-x-3\)

\((2x+1)(5x-3)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

4.5 × 10^-3

= 0.0045

Standard Form 3

Write in standard form:

324000

= 3.24 × 10⁵

Standard Form 4

Write in standard form:

0.000956

= 9.56 × 10^-4

Sequence (Quadratic)

Find the n^th term:

\(3, 12, 25, 42, 63, \)

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

Standard Form 5

Multiply 4 × 10⁶
by 9 × 10³ and give the answer in standard form.

= 3.6 × 10¹⁰

Equations (Quadratic 1)

Solve:

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

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

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 hexagon?

120°

Change The Subject

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

$$d=\frac{3e+1}{2}$$

Basic Division 1

Calculate the value of:

2190 ÷ 5

= 438

Number Sequences 2

What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8