Maths 1
Convert 45km/hr to m/s.
12.5 m/s
Factorise: p6 – 9w2
(p3+3w)(p3-3w)
Expand and simplify where appropriate: r(3r – k)
3r2 - kr
factorise 56j2h4 + 14j3h2
14h2j2(4h2 + j)
Solve 3a+c=8
2a-c=7
a=3; c=-1
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The total ticket sales for a pop concert was 7·36 × 105. If each person paid £38, how many people attended? Give you answer in Scientific Notation.
1.9268 x 104
Points A and B have coordinates (–5, –1) and (9, 3) respectively. Calculate the gradient of AB
M = 2/7
Expand and simplify where appropriate:
5(u - 4)(u + 7)
5u2+ 15u - 140
There are 7.442 x 10^11 people in the world in 2012. 0.0089% of this number live in the UK. How many people live in the UK? Give your answer in scientific notation.
6.62338 x 10^7
simplify :
( t^6 x t^3) / t^6
t^3/t^2
Calculate the volume of a cone with a diameter of 80 cm and a height of 7 m. Round your answer to 3 significant figures
1.17m3
Write each of the following as a single fraction:
(2/c) - (5/b)
(2b-5c)/bc
$16.63
Factorise: 289d² – 144
(17d+12)(17d-12)
Calculate the volume of a sphere with radius 7.4 cm, giving your answer correct to 2 significant figures.
1700 cm2
Factorise: x² -3x - 18
(x+3)(x-6)
Points R and S have coordinates (3, –2) and (–6, –3) respectively. Calculate the equation of the line RS.
y = (1/9) m - (7/3)
Write each of the following as a single fraction:
7/x + 9/x2
(7x + 9) / x2
Calculate the length of an arc to 1 d.p. if the radius is 5 inches and the angle at the centre of the arc is 39 degrees
3.4 inches
Simplify: (3w4g-3)(4m2w-5g6)3
(3w4g-3)(64m6w-15g18)
= 192 m6w-11g15
What is 3w/8c + 2r/6w
(9w2 + 8cr) / 24cw
Simplify:
3w^5 x 2w^(1/2)
6w^(11/2)
Calculate the angle at the centre of a sector if its total area is 54cm2 and it has a diameter of 24cm. Give you answer to 2 significant figures
43o
factorise 3x2 + 18x + 15
3(x+5)(x+1)