Fractions/ percentages/ ratios
Algebra questions
Miscellaneous
Miscellaneous 2.0
Equations
100
Solve the following and write your answer in its simplest form.
32/16 x 4/5
8/5.
100
What is the radius of a circle with diameter 12.75? Give your answer to two decimal places.
6.38
100
Write the following in the form 1:n (juice to water).
A cup with 750ml water and 250ml juice.
1:3
100
Calculate the gradient of the following line:
2
100
What is the gradient in the equation: 2y = 6x - 4?
3
200
What is 168/291 in its simplest form?
56/97
200
Calculate the area of a trapezium with horizontal sides 8 and 6m, and a height of 10m.
70m^2.
200
Write the ratio of the following shape's side length vs perimeter in the form 1:n.
A regular decagon with sides 12cm each.
1:12.
200
Charlie decides to become a postlady as a side hobby. On her first day, she delivers 120 letters in 46 minutes. How many letters does she deliver a minute? Give your answer to one decimal place.
2.6 letters per minute.
200
Write an expression to represent the area of a rectangle with sides 2x+4 and x-3.
(2x+4)(x-3) (2x^2-2x-12)
300
Charlie is answering some questions on fractions. Here is one of Charlie's answers:
3/5 + 4/7 = 7/12
Explain her mistake. (1/2 marks)
Charlie hasn't found a common denominator- she has just added together the top numbers and then added together the bottom numbers.
300
(Non-calculator) Find the approximate area of a circle sector with central angle of 36 degrees and a diameter of 12cm. Take pi to be 3.1cm,
.
3.6 pi (or 11.16cm^2)
300
Rotate this triangle 90 degrees clockwise around point (0,0).
(-1, -1), (-1, -3), (-2, -1)
300
Enlargement of -0.5
300
a) Write and solve an expression for the perimeter and for the area of an isosceles triangle with sides 3x and 2x+5, taking x to be 12cm.
a) Perimeter: 8x+5, Area: 3x^2+7.5x
b) P = 101cm, A = 38,880cm^2
400
Rainbow's paint palette was worth £16 when she bought it. It is now worth £62. Calculate the percentage change in the value of her paint palette. Give your answer to three significant figures. [3]
288%.
400
(Non-calculator) Calculate the surface area of the polygon below. Give your answer to 1 decimal place. (3)
258cm^2.
400
State all possible transformations that would map shape F onto shape G.
Rotation of 180 degrees around point (1,2)
400
Describe the transformation mapping shape A to shape B (2).
Translation along vector (4/-1).
400
Solve:
a) 12x + 3 = 7x − 4.
b) 7y + 6 = 5(y − 2) (Non-calculator)
a) x = -1.4
b) y = -8
500
Each girl at a school plays one of four sports. 0.4 play hockey, 0.2 rugby, 0.1 football and the rest cricket. A student is chosen at random. Work out the probability that the student plays cricket. There are 600 girls at the school. Work out the number who play rugby.
Cricket probability = 0.3, 120 play rugby.
500
Simplify the following expressions:
a) 3gh x -5h
b) 2k-4k
c) 16/ 8x
d) 3x^3 / yx^2
a) -15gh^2
b) -2k
c) 2/x
d) 3x/y
500
Charlie has a bag of counters. The counters are red, green, white and pink. There are 250 counters in the bag. The probability of a pink counter is 0.2. The probability of a green counter is 0.4. The probability of a red counter is three times the probability of a white counter. Calculate the number of red counters in the bag, and the probability of a red counter.
75/ 0.3.
500
Enlarge the shape by scale factor 2, taking the centre of enlargement to be (0,0).
Sides 6cm, 6cm and 2cm.
500
(Non-calculator) A triangle has a perimeter of 300cm. If the long side is two times the short side, and the middle side is 1.5 times the short side, how long is the middle side?
66.67cm.