What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
30
1, 2, 3, 5, 6, 10, 15, 30.
Subtract the 7th from the 11th multiples of:
3
12
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round to three significant figures:
a) 39.64; 39.6
b) 455137; 455000
c) 78; 78.0
d) 0.007895; 0.00790
Find the area of a triangle that has a base of 5cm and a height of 8cm.
20cm^{2}
Find the area of a trapezium that has a base of 13cm, a height of 10cm and a top (parallel to base) of 7cm. 100cm^{2}
Evaluate:
\( \frac{3}{5} + \frac{8}{10}\) \(= 1\frac{2}{5}\)
Evaluate:
\( \frac{3}{5} × \frac{6}{8}\) \(= \frac{9}{20}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{6}{4}\) \(= \frac{2}{9}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{5}\) \(= 80\)%
Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.
28.3cm^{2}
Find the circumference of a circle that has a radius of 10cm. Give your answer to three significant figures.
62.8cm
Calculate the value of:
6.7 + 7.5
= 14.2
Calculate the value of:
9.2 − 1.9
= 7.3
Calculate the value of:
3.8 × 8.4
= 31.92
Calculate the value of:
130.5 ÷ 15
= 8.7
What is the value of:
4^{2}
= 16
What is the value of:
\(5^{0}\)
\(= 1\)
Calculate the value of:
65 + 65
= 130
Calculate the value of:
73 − 28
= 45
Calculate the value of:
29 × 35
= 1015
Calculate the value of:
1125 ÷ 15
= 75
Find the value of:
20% of 360
= 72
Find the value of:
2.41 × 10^{2}
= 241
Find the highest common factor of forty and ten.
= 10
4 × 4 = 16  8 × 2 = 16 
7 × 4 = 28  9 × 3 = 27 
3 × 3 = 9  6 × 3 = 18 
5 × 5 = 25  2 × 3 = 6 
8 × 4 = 32  4 × 3 = 12 
7 × 12 = 84  9 × 4 = 36 
6 × 6 = 36  5 × 11 = 55 
3 × 2 = 6  2 × 2 = 4 
6 × 2 = 12  8 × 2 = 16 
9 × 2 = 18  5 × 2 = 10 
3 × 2 = 6  7 × 2 = 14 
4 × 2 = 8  2 × 2 = 4 
9 × 3 = 27  3 × 3 = 9 
5 × 3 = 15  7 × 3 = 21 
4 × 3 = 12  8 × 3 = 24 
6 × 3 = 18  2 × 3 = 6 
7 × 4 = 28  9 × 4 = 36 
8 × 4 = 32  6 × 4 = 24 
4 × 4 = 16  3 × 4 = 12 
5 × 4 = 20  2 × 4 = 8 
5 × 5 = 25  9 × 5 = 45 
8 × 5 = 40  3 × 5 = 15 
7 × 5 = 35  4 × 5 = 20 
6 × 5 = 30  2 × 5 = 10 
4 × 6 = 24  9 × 6 = 54 
5 × 6 = 30  3 × 6 = 18 
8 × 6 = 48  7 × 6 = 42 
6 × 6 = 36  2 × 6 = 12 
7 × 7 = 49  3 × 7 = 21 
8 × 7 = 56  6 × 7 = 42 
5 × 7 = 35  4 × 7 = 28 
9 × 7 = 63  2 × 7 = 14 
4 × 8 = 32  7 × 8 = 56 
8 × 8 = 64  9 × 8 = 72 
3 × 8 = 24  6 × 8 = 48 
5 × 8 = 40  2 × 8 = 16 
3 × 9 = 27  9 × 9 = 81 
8 × 9 = 72  7 × 9 = 63 
6 × 9 = 54  5 × 9 = 45 
4 × 9 = 36  2 × 9 = 18 
6 × 12 = 72  4 × 12 = 48 
9 × 12 = 108  3 × 12 = 36 
8 × 12 = 96  7 × 12 = 84 
5 × 12 = 60  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{3}{12}\) \(= \frac{1}{4}\)
Evaluate:
\( 1\frac{3}{4} − \frac{6}{7}\) \(= \frac{25}{28}\)
Find AC if AB = 3.4m and BC = 4.7m. 3.24m
Find angle ABC if AC = 4.1m and BC = 5.7m. 46.0^{o}
Find AB if angle ABC = 31^{o} and BC = 5.1m. 4.37m
Give your answer in Roman numerals.
^{2}
Give your answer in Roman numerals.
^{2}
Give your answer in Roman numerals.
^{2}
Convert this fraction to a decimal.
\( \frac{3}{8}\) \(= 0.375\)
Convert this decimal to a fraction.
\(0.08\) = \( \frac{2}{25}\)
Increase £160 by 15%
£184
What is the lowest common multiple of ten and twenty five.
= 50
6,19,32,45,58...
Find the:
a) next term; 71
b) n^{th} term; 13n  7
c) term number 50; 643
5,15,45,135,405...
Find the:
a) next term; 1215
b) n^{th} term; 5 × 3^{n1}
c) term number 9; 32805
If £120 is invested for 7 years with a simple interest rate of 1%, find the amount of interest earned. £8.40
If £200 is invested with an interest rate of 2% compounded annually, find the value of the investment after 7 years. £229.74
If £1 is worth $1.25, convert:
a) £180 to dollars; $225.00
b) $120 to pounds; £96.00
What are the coordinates of the midpoint of the line joining:
\((0,7) \text{ and } (8,5)\)
(4,1)
What is the gradient of the line joining:
\((9,3) \text{ and } (13,8)\)
\(\frac{5}{4}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((5,2),(8,7),(0,5)\)
(3,10)
a) 6 − 15 = 9
b) 6 × (7) = 42
c) (9−18)(6−18) = 108
d) 42 ÷ (7) = 6
e) (11)^{2} = 121
If p = 5, q = 21 and
r = 8 evaluate:
a) 2q − p = 37
b) pq + r = 97
c) p^{2} − 5q  r = 72
Solve:
\(4x = 36\)
\(x = 9\)
Solve:
\(5x 2= 8\)
\(x = 2\)
Solve:
\(7x 5= 4x + 1\)
\(x = 2\)
Solve:
\(3(5x 3)9= 42\)
\(x = 4\)
Solve:
\(4(5x + 2)= 5(3x + 5)\)
\(x = 3.4\)
Solve:
\(2x2y = 2\)
\(5x2y = 16\)
\(x = 6, y = 7\)
Solve:
\(4x+5y = 23\)
\(6x10y = 18\)
\(x = 2, y = 3\)
Solve:
\(5x+5y = 62.5\)
\(3x2y = 22.5\)
\(x = 9.5, y = 3\)
Find the union of:
{5,6,7,8,9,10} and
{2,3,5,7,11,13}
{2,3,5,6,7,8,9,10,11,13}
Find the intersection of:
{2,4,6,8,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 268^{o}. What bearing would it return on from B to A? 088^{o}
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
2^{2} − 5 × 4 + 8
8
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a10\)
Divide 81 in the ratio
5:4
45 and 36
Draw a rough sketch of the graph of:
\(2y=x\)
Gradient 0.5
y intercept 0
Express the following number as the product of prime numbers:
36
2 x 2 x 3 x 3
In a sale an item costs £68 after a 15% reduction. What was the original price?
£80
Find the mean, mode, median and range of the following:
1,2,3,4,5
Mean = 3, no mode,
median = 3 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.262626... \(\frac{26}{99}\)
Decrease £140 by 40%
£84
Expand:
\(8(7x3)\)
\(56x24\)
Expand:
\((2x+3)(2x4)\)
\(4x^22x12\)
Factorise:
\(16x56\)
\(8(2x7)\)
Factorise:
\(x^2x2\)
\((x+1)(x2)\)
Factorise:
\(2x^2+3x9\)
\((x+3)(2x3)\)
Which theorem?
Find the value of:
5.67 × 10^{5}
= 0.0000567
Write in standard form:
685000
= 6.85 × 10^{5}
Write in standard form:
0.00618
= 6.18 × 10^{3}
Find the n^{th} term:
\(7, 19, 37, 61, 91, \)
\(3n^2+3n+1\)
Multiply 9 × 10^{4}
by 9 × 10^{4} and give the answer in standard form.
= 8.1 × 10^{9}
Solve:
\(x^2x20= 0\)
\(x = 5\) and \(4\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^25x4 = 0\)
\(x = 3.14\) and \(0.637\)
What is the size of each interior angle of a regular octagon?
135°
Make \(a\) the subject of the formula
$$b=2a3$$
$$a=\frac{b+3}{2}$$
Calculate the value of:
5670 ÷ 6
= 945
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What is the difference between the 8th and the 9th square numbers?
17
What is the difference between the 5th and the 6th prime numbers?
13  11 = 2
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Calculate \(x\).
Write down these numbers: 1.11, 1, 1.01, 0.11, 1.1, 0.1, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,
Write down these lengths: 107cm, 17cm, 18mm, 1.8m, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 17cl, 18cl, 173ml, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
j = 97
c = 78
Round to one significant figure:
a) 97.96; 100
b) 567675; 600000
c) 88; 90
d) 0.00214; 0.002
Topics: Starter  Algebra  Arithmetic  Circles  Coordinates  Fractions  Mental Methods  Mixed  Money  Sets  Simultaneous Equations  Tables  Trigonometry
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