What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
39
1, 3, 13, 39.
Subtract the 7th from the 12th multiples of:
7
35
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) 68.02; 68.0
b) 623133; 623000
c) 0.003195; 0.00320
Find the area of a triangle that has a base of 3cm and a height of 8cm.
12cm^{2}
Find the area of a trapezium that has a base of 16cm, a height of 12cm and a top (parallel to base) of 6cm. 132cm^{2}
Evaluate:
\( \frac{3}{6} + \frac{7}{9}\) \(= 1\frac{5}{18}\)
Evaluate:
\( \frac{1}{3} × \frac{5}{6}\) \(= \frac{5}{18}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{7}{5}\) \(= \frac{5}{21}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage to 3 significant figures.
\( \frac{4}{9}\) \(= 44.4\)%
Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm^{2}
Find the circumference of a circle that has a radius of 1cm. Give your answer to three significant figures.
6.28cm
Calculate the value of:
3.9 + 5.6
= 9.5
Calculate the value of:
7.2 − 4.8
= 2.4
Calculate the value of:
9.7 × 6.5
= 63.05
Calculate the value of:
51.2 ÷ 16
= 3.2
What is the value of:
2^{3}
= 8
What is the value of:
\(4^{1}\)
\(= \frac{1}{4}\)
Calculate the value of:
39 + 86
= 125
Calculate the value of:
82 − 29
= 53
Calculate the value of:
85 × 35
= 2975
Calculate the value of:
798 ÷ 19
= 42
Find the value of:
55% of 260
= 143
Find the value of:
7.22 × 10^{4}
= 72200
Find the highest common factor of thirty six and twelve.
= 12
6 × 4 = 24  5 × 2 = 10 
4 × 5 = 20  3 × 2 = 6 
8 × 4 = 32  9 × 4 = 36 
7 × 2 = 14  2 × 2 = 4 
8 × 5 = 40  6 × 5 = 30 
5 × 5 = 25  3 × 10 = 30 
9 × 2 = 18  4 × 12 = 48 
7 × 5 = 35  2 × 7 = 14 
9 × 2 = 18  4 × 2 = 8 
8 × 2 = 16  5 × 2 = 10 
7 × 2 = 14  3 × 2 = 6 
6 × 2 = 12  2 × 2 = 4 
7 × 3 = 21  4 × 3 = 12 
6 × 3 = 18  5 × 3 = 15 
3 × 3 = 9  9 × 3 = 27 
8 × 3 = 24  2 × 3 = 6 
9 × 4 = 36  4 × 4 = 16 
3 × 4 = 12  7 × 4 = 28 
8 × 4 = 32  5 × 4 = 20 
6 × 4 = 24  2 × 4 = 8 
5 × 5 = 25  7 × 5 = 35 
3 × 5 = 15  6 × 5 = 30 
8 × 5 = 40  4 × 5 = 20 
9 × 5 = 45  2 × 5 = 10 
3 × 6 = 18  9 × 6 = 54 
7 × 6 = 42  5 × 6 = 30 
8 × 6 = 48  4 × 6 = 24 
6 × 6 = 36  2 × 6 = 12 
6 × 7 = 42  7 × 7 = 49 
9 × 7 = 63  5 × 7 = 35 
4 × 7 = 28  8 × 7 = 56 
3 × 7 = 21  2 × 7 = 14 
5 × 8 = 40  8 × 8 = 64 
3 × 8 = 24  4 × 8 = 32 
6 × 8 = 48  9 × 8 = 72 
7 × 8 = 56  2 × 8 = 16 
6 × 9 = 54  4 × 9 = 36 
8 × 9 = 72  9 × 9 = 81 
5 × 9 = 45  3 × 9 = 27 
7 × 9 = 63  2 × 9 = 18 
5 × 12 = 60  8 × 12 = 96 
9 × 12 = 108  7 × 12 = 84 
3 × 12 = 36  6 × 12 = 72 
4 × 12 = 48  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{28}{42}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{3}{4} − \frac{5}{6}\) \(= \frac{11}{12}\)
Find AC if AB = 4.5m and BC = 6.1m. 4.12m
Find angle ABC if AC = 5.3m and BC = 6.7m. 52.3^{o}
Find BC if angle BCA = 54^{o} and AC = 3m. 5.10m
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.
\( \frac{1}{6}\) \(= 0.167\)
Convert this decimal to a fraction.
\(0.61\) = \( \frac{61}{100}\)
Increase £140 by 15%
£161
What is the lowest common multiple of six and ten.
= 30
4,11,18,25,32...
Find the:
a) next term; 39
b) n^{th} term; 7n  3
c) term number 50; 347
4,8,16,32,64...
Find the:
a) next term; 128
b) n^{th} term; 4 × 2^{n1}
c) term number 12; 8192
If £200 is invested for 7 years with a simple interest rate of 5%, find the amount of interest earned. £70.00
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 $1.34, convert:
a) £180 to dollars; $241.20
b) $100 to pounds; £74.63
What are the coordinates of the midpoint of the line joining:
\((5,3) \text{ and } (5,9)\)
(0,3)
What is the gradient of the line joining:
\((0,9) \text{ and } (5,12)\)
\(\frac{3}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((2,2),(8,8),(4,8)\)
(2,14)
a) 12 − 19 = 7
b) 12 × (7) = 84
c) (10−22)(9−20) = 132
d) 84 ÷ (7) = 12
e) (10)^{2} = 100
If p = 6, q = 25 and
r = 6 evaluate:
a) 2q − p = 44
b) pq + r = 144
c) p^{2} − 5q  r = 83
Solve:
\(2x = 4\)
\(x = 2\)
Solve:
\(2x 5= 1\)
\(x = 3\)
Solve:
\(9x +4= 5x + 32\)
\(x = 7\)
Solve:
\(2(2x 3)+10= 32\)
\(x = 7\)
Solve:
\(3(2x + 5)= 4(4x + 4)\)
\(x = 0.1\)
Solve:
\(4x+5y = 53\)
\(3x+5y = 46\)
\(x = 7, y = 5\)
Solve:
\(3x+2y = 22\)
\(6x+8y = 64\)
\(x = 4, y = 5\)
Solve:
\(2x+2y = 8\)
\(3x+5y = 3\)
\(x = 8.5, y = 4.5\)
Find the union of:
{2,4,6,8,10} and
{6,7,8,9,10}
{2,4,6,7,8,9,10}
Find the intersection of:
{1,2,3,4,5} and
{6,7,8,9,10}
∅
A plane flies from point A to point B on a bearing of 285^{o}. What bearing would it return on from B to A? 105^{o}
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
2 + 2 × 3 − 9
1
Simplify the following by collecting like terms:
\(b+4c7b+4c\)
\(8c6b\)
Divide 104 in the ratio
6:2
78 and 26
Draw a rough sketch of the graph of:
\(y=2x+1\)
Gradient 2
y intercept 1
Express the following number as the product of prime numbers:
12
2 x 2 x 3
In a sale an item costs £36 after a 40% reduction. What was the original price?
£60
Find the mean, mode, median and range of the following:
2,4,6,8,10
Mean = 6, no mode,
median = 6 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.929292... \(\frac{92}{99}\)
Decrease £60 by 20%
£48
Expand:
\(8(3x5)\)
\(24x40\)
Expand:
\((2x+4)(3x1)\)
\(6x^2+10x4\)
Factorise:
\(6x4\)
\(2(3x2)\)
Factorise:
\(x^2+x12\)
\((x+4)(x3)\)
Factorise:
\(2x^2+7x4\)
\((x+4)(2x1)\)
Which theorem?
Find the value of:
8.67 × 10^{4}
= 0.000867
Write in standard form:
994000
= 9.94 × 10^{5}
Write in standard form:
0.000562
= 5.62 × 10^{4}
Find the n^{th} term:
\(1, 15, 35, 61, 93, \)
\(3n^2+5n7\)
Multiply 4 × 10^{5}
by 5 × 10^{3} and give the answer in standard form.
= 2 × 10^{9}
Solve:
\(x^2+x12= 0\)
\(x = 3\) and \(4\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^22x5 = 0\)
\(x = 1.40\) and \(0.896\)
What is the size of each interior angle of a regular heptagon?
128.6°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}5$$
$$h=4(e+5)$$
Calculate the value of:
3056 ÷ 8
= 382
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the difference between the 11th and the 12th square numbers?
23
What is the 10th prime number?
29
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: 5.55, 5.5, 5, 0.5, 5.05, 0.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 18mm, 1.8m, 107cm, 1.08m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 173ml, 200ml, 17cl, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
e = 69
a = 132
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