Maths 1
Simplify, giving your answer in surd form:
sqrt(32)
4 sqrt(2)
Factorise: p² – 9p
p(p-9)
Expand and simplify where appropriate:
r(3r – k)
3r^2 - kr
factorise 6h + 4l
2(3h + 2l)
Express x² + 12x + 8 in the form (x + p)² + q.
(x+6)^2 -28
Expand and simplify:
(y-3)( y -1)
y^2 - 4y + 3
The total ticket sales for a pop concert was 7·36 × 10^5. If each person paid £38, how many people attended? Give you answer in Scientific Notation.
1.9268 x 10^4
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:
(u - 4)(u + 7)
u^2 + 3u - 28
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
1.17m^3
Write each of the following as a single fraction:
(2/c) - (5/b)
(2b-5c)/bc
Express x² – 11x + 1 in the form (x - p)² + q.
(x - 5.5)^2 - 29.25
Factorise: d² – 144
(d+12)(d-12)
Calculate the volume of a sphere with radius 7.4 cm, giving your answer correct to 2 significant figures.
1700 cm^2
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/x^2
(7x + 9) / x^2
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
Rationalise the denominator:
3 / (1+sqrt(3))
(3 - 3 sqrt(3)) / -2
What is 3w/8c + 2r/6w
(9w^2 + 8cr) / 24cw
Simplify:
3w^5 x 2w^(1/2)
6w^(11/2)
Calculate the angle at the center of a sector if its total area is 54cm^2 and it has a diameter of 24cm. Give you answer to 2 significant figures
43 degrees
factorise 3x^2 + 18x + 15
3(x+5)(x+1)