What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
50
1, 2, 5, 10, 25, 50.
Subtract the 4th from the 7th multiples of:
11
33
What are the names of regular polygons with:
a) four sides;
b) five sides;
c) six sides.
Square, Pentagon and Hexagon (all regular)
Round the following numbers to three significant figures:
a) 80.34; 80.3
b) 900396; 900000
c) 0.002995; 0.00300
Find the area of a triangle that has a base of 4cm and a height of 9cm.
18cm^{2}
Find the area of a trapezium that has a base of 9cm, a height of 12cm and a top (parallel to base) of 3cm. 72cm^{2}
Evaluate:
\( \frac{1}{3} + \frac{6}{9}\) \(= 1\)
Evaluate:
\( \frac{1}{2} × \frac{3}{5}\) \(= \frac{3}{10}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{7}{5}\) \(= \frac{5}{14}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{5}{8}\) \(= 62.5\)%
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 2cm. Give your answer to three significant figures.
12.6cm^{2}
Calculate the value of:
9.5 + 9.8
= 19.3
Calculate the value of:
5.2 − 3.8
= 1.4
Calculate the value of:
6.7 × 3.4
= 22.78
Calculate the value of:
42.9 ÷ 13
= 3.3
What is the value of:
4^{3}
= 64
What is the value of:
3^{1}
= 0.333333333333333
Calculate the value of:
29 + 69
= 98
Calculate the value of:
82 − 27
= 55
Calculate the value of:
95 × 57
= 5415
Calculate the value of:
2444 ÷ 26
= 94
Find the value of:
55% of 120
= 66
Find the value of:
9.5 × 10^{5}
= 950000
Find the highest common factor of twenty seven and six.
= 3
9 × 5 = 45  7 × 5 = 35 
4 × 2 = 8  3 × 4 = 12 
5 × 4 = 20  6 × 2 = 12 
8 × 3 = 24  2 × 2 = 4 
6 × 10 = 60  5 × 7 = 35 
9 × 5 = 45  4 × 9 = 36 
3 × 12 = 36  8 × 5 = 40 
7 × 5 = 35  2 × 12 = 24 
8 × 2 = 16  5 × 2 = 10 
7 × 2 = 14  6 × 2 = 12 
4 × 2 = 8  3 × 2 = 6 
9 × 2 = 18  2 × 2 = 4 
6 × 3 = 18  9 × 3 = 27 
8 × 3 = 24  7 × 3 = 21 
3 × 3 = 9  5 × 3 = 15 
4 × 3 = 12  2 × 3 = 6 
4 × 4 = 16  3 × 4 = 12 
9 × 4 = 36  6 × 4 = 24 
7 × 4 = 28  5 × 4 = 20 
8 × 4 = 32  2 × 4 = 8 
7 × 5 = 35  9 × 5 = 45 
8 × 5 = 40  3 × 5 = 15 
4 × 5 = 20  5 × 5 = 25 
6 × 5 = 30  2 × 5 = 10 
9 × 6 = 54  5 × 6 = 30 
8 × 6 = 48  7 × 6 = 42 
6 × 6 = 36  4 × 6 = 24 
3 × 6 = 18  2 × 6 = 12 
5 × 7 = 35  8 × 7 = 56 
7 × 7 = 49  4 × 7 = 28 
3 × 7 = 21  9 × 7 = 63 
6 × 7 = 42  2 × 7 = 14 
8 × 8 = 64  4 × 8 = 32 
5 × 8 = 40  9 × 8 = 72 
6 × 8 = 48  7 × 8 = 56 
3 × 8 = 24  2 × 8 = 16 
3 × 9 = 27  4 × 9 = 36 
6 × 9 = 54  5 × 9 = 45 
7 × 9 = 63  9 × 9 = 81 
8 × 9 = 72  2 × 9 = 18 
7 × 12 = 84  3 × 12 = 36 
5 × 12 = 60  8 × 12 = 96 
4 × 12 = 48  6 × 12 = 72 
9 × 12 = 108  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{5}{10}\) \(= \frac{1}{2}\)
Evaluate:
\( 3\frac{2}{3} − \frac{4}{5}\) \(= 2\frac{13}{15}\)
Find AC if AB = 4.8m and BC = 5.9m. 3.43m
Find angle BCA if AB = 5.5m and BC = 6.9m. 52.9^{o}
Find BC if angle BCA = 43^{o} and AC = 4m. 5.47m
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 to 3 significant figures.
\( \frac{1}{3}\) \(= 0.333\)
Convert this decimal to a fraction.
\(0.83\) = \( \frac{83}{100}\)
Increase £120 by 30%
£156
What is the lowest common multiple of twelve and twenty.
= 60
7,20,33,46,59...
Find the:
a) next term; 72
b) n^{th} term; 13n  6
c) term number 49; 631
6,18,54,162,486...
Find the:
a) next term; 1458
b) n^{th} term; 6 × 3^{n1}
c) term number 8; 13122
If £220 is invested for 9 years with a simple interest rate of 6%, find the amount of interest earned. £118.80
If £220 is invested with an interest rate of 4% compounded annually, find the value of the investment after 5 years. £267.66
If £1 is worth $1.45, convert:
a) £140 to dollars; $203.00
b) $100 to pounds; £96.55
What are the coordinates of the midpoint of the line joining:
\((3,7) \text{ and } (11,15)\)
(7,11)
What is the gradient of the line joining:
\((6,6) \text{ and } (10,11)\)
\(\frac{5}{4}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((4,4),(9,9),(1,9)\)
(4,14)
a) 8 − 19 = 11
b) 8 × (5) = 40
c) (6−17)(12−21) = 99
d) 40 ÷ (5) = 8
e) (8)^{2} = 64
If p = 6, q = 24 and
r = 11 evaluate:
a) 2q − p = 42
b) pq + r = 133
c) p^{2} − 5q  r = 73
Solve:
\(5x = 10\)
\(x = 2\)
Solve:
\(3x 5= 22\)
\(x = 9\)
Solve:
\(7x 3= 6x + 5\)
\(x = 8\)
Solve:
\(3(2x 5)6= 9\)
\(x = 2\)
Solve:
\(2(5x + 5)= 4(2x + 5)\)
\(x = 5\)
Solve:
\(3x+4y = 30\)
\(5x4y = 14\)
\(x = 2, y = 6\)
Solve:
\(5x+4y = 39\)
\(2x8y = 42\)
\(x = 3, y = 6\)
Solve:
\(4x6y = 46\)
\(4x+3y = 35\)
\(x = 2, y = 9\)
Find the union of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{1,3,4,5,6,7,8,9}
Find the intersection of:
{1,3,5,7,9} and
{5,6,7,8,9,10}
{5,7,9}
A plane flies from point A to point B on a bearing of 145^{o}. What bearing would it return on from B to A? 325^{o}
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
5 + 6 × 7 − 7
40
Simplify the following by collecting like terms:
\(3n+7−2n+8\)
\(n+15\)
Divide 132 in the ratio
3:8
36 and 96
Draw a rough sketch of the graph of:
\(2y=x4\)
Gradient 0.5
y intercept 2
Express the following number as the product of prime numbers:
50
2 x 5 x 5
In a sale an item costs £15 after a 25% reduction. What was the original price?
£20
Find the mean, mode, median and range of the following:
5,6,7,8,9,10
Mean = 7.5, no mode,
median = 7.5 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.878787... \(\frac{29}{33}\)
Decrease £60 by 45%
£33
Expand:
\(3(8x5)\)
\(24x15\)
Expand:
\((2x+3)(3x3)\)
\(6x^2+3x9\)
Factorise:
\(8x4\)
\(4(2x1)\)
Factorise:
\(x^24\)
\((x+2)(x2)\)
Factorise:
\(4x^2+13x12\)
\((x+4)(4x3)\)
Which theorem?
Find the value of:
2.76 × 10^{3}
= 0.00276
Write in standard form:
1820
= 1.82 × 10^{3}
Write in standard form:
0.0000872
= 8.72 × 10^{5}
Find the n^{th} term:
\(6, 19, 38, 63, 94, \)
\(3n^2+4n1\)
Multiply 8 × 10^{5}
by 9 × 10^{5} and give the answer in standard form.
= 7.2 × 10^{11}
Solve:
\(x^2+3x10= 0\)
\(x = 2\) and \(5\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^23x1 = 0\)
\(x = 1.78\) and \(0.281\)
What is the size of each exterior angle of a regular decagon?
36°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}5$$
$$h=4(e+5)$$
Calculate the value of:
1886 ÷ 2
= 943
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
Topics: Starter  Algebra  Arithmetic  Circles  Coordinates  Fractions  Mental Methods  Mixed  Money  Sets  Simultaneous Equations  Tables  Trigonometry
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