What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
43
1, 43.
Subtract the 4th from the 7th multiples of:
10
30
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round the following numbers to three significant figures:
a) 74.23; 74.2
b) 325133; 325000
c) 0.002895; 0.00290
Find the area of a triangle that has a base of 4cm and a height of 8cm.
16cm^{2}
Find the area of a trapezium that has a base of 12cm, a height of 11cm and a top (parallel to base) of 6cm. 99cm^{2}
Evaluate:
\( \frac{3}{5} + \frac{8}{11}\) \(= 1\frac{18}{55}\)
Evaluate:
\( \frac{2}{4} × \frac{6}{7}\) \(= \frac{3}{7}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{1}{2}\) \(= 50\)%
Find the area of a circle that has a radius of 9cm. Give your answer to three significant figures.
254cm^{2}
Find the circumference of a circle that has a radius of 11cm. Give your answer to three significant figures.
69.1cm^{2}
Calculate the value of:
7.5 + 3.5
= 11
Calculate the value of:
6.3 − 2.7
= 3.6
Calculate the value of:
7.2 × 8.8
= 63.36
Calculate the value of:
78 ÷ 12
= 6.5
What is the value of:
3^{3}
= 27
What is the value of:
4^{1}
= 0.25
Calculate the value of:
65 + 36
= 101
Calculate the value of:
61 − 28
= 33
Calculate the value of:
75 × 97
= 7275
Calculate the value of:
2552 ÷ 29
= 88
Find the value of:
30% of 280
= 84
Find the value of:
6.21 × 10^{5}
= 621000
Find the highest common factor of forty five and fifteen.
= 15
8 × 5 = 40  7 × 2 = 14 
4 × 3 = 12  5 × 5 = 25 
3 × 3 = 9  6 × 3 = 18 
9 × 3 = 27  2 × 5 = 10 
8 × 4 = 32  9 × 5 = 45 
3 × 9 = 27  4 × 8 = 32 
6 × 5 = 30  5 × 2 = 10 
7 × 7 = 49  2 × 5 = 10 
7 × 2 = 14  6 × 2 = 12 
4 × 2 = 8  3 × 2 = 6 
5 × 2 = 10  9 × 2 = 18 
8 × 2 = 16  2 × 2 = 4 
5 × 3 = 15  3 × 3 = 9 
9 × 3 = 27  8 × 3 = 24 
7 × 3 = 21  6 × 3 = 18 
4 × 3 = 12  2 × 3 = 6 
5 × 4 = 20  4 × 4 = 16 
7 × 4 = 28  8 × 4 = 32 
9 × 4 = 36  3 × 4 = 12 
6 × 4 = 24  2 × 4 = 8 
8 × 5 = 40  4 × 5 = 20 
3 × 5 = 15  7 × 5 = 35 
5 × 5 = 25  9 × 5 = 45 
6 × 5 = 30  2 × 5 = 10 
5 × 6 = 30  6 × 6 = 36 
7 × 6 = 42  8 × 6 = 48 
9 × 6 = 54  3 × 6 = 18 
4 × 6 = 24  2 × 6 = 12 
8 × 7 = 56  6 × 7 = 42 
4 × 7 = 28  9 × 7 = 63 
5 × 7 = 35  7 × 7 = 49 
3 × 7 = 21  2 × 7 = 14 
6 × 8 = 48  7 × 8 = 56 
3 × 8 = 24  9 × 8 = 72 
4 × 8 = 32  8 × 8 = 64 
5 × 8 = 40  2 × 8 = 16 
7 × 9 = 63  5 × 9 = 45 
3 × 9 = 27  4 × 9 = 36 
9 × 9 = 81  6 × 9 = 54 
8 × 9 = 72  2 × 9 = 18 
6 × 12 = 72  8 × 12 = 96 
7 × 12 = 84  5 × 12 = 60 
4 × 12 = 48  3 × 12 = 36 
9 × 12 = 108  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{20}{32}\) \(= \frac{5}{8}\)
Evaluate:
\( 2\frac{3}{4} − \frac{5}{6}\) \(= 1\frac{11}{12}\)
Find AC if AB = 4.8m and BC = 6.5m. 4.38m
Find angle ABC if AB = 4.5m and BC = 6.3m. 44.4^{o}
Find BC if angle BCA = 61^{o} and AB = 3.8m. 4.34m
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.
\( \frac{2}{6}\) \(= 0.333\)
Convert this decimal to a fraction.
\(0.75\) = \( \frac{3}{4}\)
Increase £180 by 20%
£216
What is the lowest common multiple of four and twelve.
= 12
6,14,22,30,38...
Find the:
a) next term; 46
b) n^{th} term; 8n  2
c) term number 44; 350
6,24,96,384,1536...
Find the:
a) next term; 6144
b) n^{th} term; 6 × 4^{n1}
c) term number 8; 98304
If £140 is invested for 9 years with a simple interest rate of 1%, find the amount of interest earned. £12.60
If £120 is invested with an interest rate of 3% compounded annually, find the value of the investment after 5 years. £139.11
If £1 is worth $1.48, convert:
a) £140 to dollars; $207.20
b) $180 to pounds; £94.59
What are the coordinates of the midpoint of the line joining:
\((1,5) \text{ and } (9,17)\)
(4,11)
What is the gradient of the line joining:
\((4,0) \text{ and } (1,6)\)
2
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((5,4),(8,10),(1,7)\)
(2,13)
a) 6 − 12 = 6
b) 6 × (5) = 30
c) (6−18)(10−16) = 72
d) 30 ÷ (5) = 6
e) (5)^{2} = 25
If p = 6, q = 18 and
r = 9 evaluate:
a) 2q − p = 30
b) pq + r = 99
c) p^{2} − 5q  r = 45
Solve:
\(5x = 20\)
\(x = 4\)
Solve:
\(3x 6= 18\)
\(x = 8\)
Solve:
\(6x +5= 4x + 21\)
\(x = 8\)
Solve:
\(3(4x 4)+6= 30\)
\(x = 3\)
Solve:
\(3(4x + 3)= 2(4x + 2)\)
\(x = 1.25\)
Solve:
\(3x+5y = 47\)
\(4x+5y = 51\)
\(x = 4, y = 7\)
Solve:
\(4x+2y = 38\)
\(3x+6y = 60\)
\(x = 6, y = 7\)
Solve:
\(5x+5y = 52.5\)
\(2x+4y = 26\)
\(x = 8, y = 2.5\)
Find the union of:
{6,7,8,9,10} and
{3,6,9,12,15}
{3,6,7,8,9,10,12,15}
Find the intersection of:
{6,7,8,9,10} and
{2,6,12}
{6}
A plane flies from point A to point B on a bearing of 219^{o}. What bearing would it return on from B to A? 039^{o}
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
40 ÷ 8 × 18 ÷ 3
30
Simplify the following by collecting like terms:
\(3a+5b3a+4b^2\)
\(5b+4b^2\)
Divide 143 in the ratio
7:4
91 and 52
Draw a rough sketch of the graph of:
\(y=2x2\)
Gradient 2
y intercept 2
Express the following number as the product of prime numbers:
40
2 x 2 x 2 x 5
In a sale an item costs £90 after a 10% reduction. What was the original price?
£100
Find the mean, mode, median and range of the following:
1,3,5,7,9
Mean = 5, no mode,
median = 5 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.141414... \(\frac{14}{99}\)
Decrease £120 by 45%
£66
Expand:
\(6(7x3)\)
\(42x18\)
Expand:
\((x+2)(4x4)\)
\(4x^2+4x8\)
Factorise:
\(6x27\)
\(3(2x9)\)
Factorise:
\(x^22x3\)
\((x+1)(x3)\)
Factorise:
\(4x^27x2\)
\((4x+1)(x2)\)
Which theorem?
Find the value of:
6.28 × 10^{5}
= 0.0000628
Write in standard form:
6510000
= 6.51 × 10^{6}
Write in standard form:
0.0000398
= 3.98 × 10^{5}
Find the n^{th} term:
\(9, 17, 29, 45, 65, \)
\(2n^2+2n+5\)
Multiply 9 × 10^{4}
by 6 × 10^{5} and give the answer in standard form.
= 5.4 × 10^{10}
Solve:
\(x^2+x6= 0\)
\(x = 2\) and \(3\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^25x4 = 0\)
\(x = 1.80\) and \(0.554\)
What is the size of each interior angle of a regular pentagon?
108°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}2$$
Calculate the value of:
3276 ÷ 9
= 364
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
Topics: Starter  Algebra  Arithmetic  Circles  Coordinates  Fractions  Mental Methods  Mixed  Money  Sets  Simultaneous Equations  Tables  Trigonometry
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