Geometry
A right-angled triangle has an angle of 32 degrees. The hypotenuse is 4cm long. What is the length of the side opposite to the 42degree angle? Give your answer to 2d.p.
2.12cm
Factorise:
9xz - 3x + 27x2
3x(3z - 1 + 9x)
What is three quarters divided by five sevenths
1.05 or 1 and a twentieth
(x - 3) (x + 2.5)
x2 - 0.5x - 7.5
What area of pizza will you get if you take two slices of a 14inch margarita that has been cut up into 12 slices in total
102.6inches squared
Simplify:
2x + x(3z - 4) + 4z(x -7z) + 2xz
9xz -2x - 28z2
Find the ratio of the change in y over the change in x for the line joining these two points: (2,4) (7, 6.5).
And give the name of what this ratio represents?
0.5, Gradient
What is the nth term of this sequence:
5, 12, 19, 26...
What's the perimeter of:
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42.2cm
Solve these simultaneous equations:
y = x +7
3x + 6y = 69
3x + 6x + 42 = 69
9x = 27
x = 3, y = 10
What is 0.787878... as a fraction?
78/99
Solve these simultaneous equations:
y = x + 3
y = x^2 + 5x + 6
x + 3 = ( x + 2 )(x + 3 )
x + 2 = 1
x = -1, y = 2
A surveyor wants to know the height of a skyscraper. He places his inclinometer on a tripod 1m from the ground. At a distance of 50m from the skyscraper, he records an angle of elevation of 82degrees.
What is the height of the skyscraper? Give your answer to one decimal place.
356.8m
Make "a" the subject of this equation:
2z = -3.2h + 2(4 / 3a2) + 4c
a = 8/(2z + 3.2h - 4c)
Ice-cream sales at a park is directly proportional to the temperature. When it was 32 degrees celsius, 302 ice-creams were sold. How many will sell tomorrow if the temperature drops by 3degrees?
(round to the nearest ice-cream)
274
-2x2 - 7x -6
(-x - 2)(2x + 3)
x = 1.5 OR 2