Fractions & percentages
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 area of a circle with diameter 15.5m? Give your answer to two decimal places.
188.69m squared.
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: y = 3x - 6?
3
200
What is 168/291 in its simplest form?
56/97
200
Calculate the area of this shape.
75m^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
Farmer Lulu 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
8x squared + 38x + 35
300
(Non-calculator) If Rainbow has £1000 and puts it in an account with 5% simple interest, how much will she have at the end of 5 years?
£1250.
300
(Non-calculator) Find the area of a trapezium with horizontal sides 3.2 and 3.6cm, and a height of 7.8cm.
.
26.52cm^2
300
Find the perimeter of the following shape. Give your answer to two decimal places.
30.85cm.
300
Enlargement of -0.5
300
a) Write an expression for the perimeter and for the area of a rectangle with sides 2x-5 and 3x+6.
b) (Non-calculator) Taking x to be 15cm, find the value of the perimeter and area of this rectangle.
a) Perimeter: 10x+2, Area: 6x^2 -3x - 30
b) P = 152cm, A = 1275cm^2
400
(Non-calculator) Eggbert makes a smoothie with twelve mangoes and forty-six potatoes. Write the mangoes:potatoes ratio in the form 1:n.
1: 3.83 (recurring)
400
(Non-calculator) Write and solve an expression for the perimeter and area of a rectangle with sides 2x+4 and 3x+3, taking x to be 5.1.
P: 2(2x+4) + 2(3x+3). Perimeter = 65cm.
A: 2x+4(3x+3). A = 259.86cm^2
400
Name 3 examples of direct proportion, and one example of indirect proportion.
Direct proportion: Both things increase at the same time.
Indirect proportion: One thing increases, the other thing decreases.
400
State the single transformation that maps shape A onto shape B.
Enlargement of scale factor -2.
400
(Non-calculator) Solve 1/4 x -3 divided by 0.5. Show your working and give your answer in its simplest form as a fraction, mixed number and decimal.
-3/2 / 1 1/2 / 1.5
500
Solve 1, 2 and 3 on this sheet:
1) x squared / 3x
2) 2am / 20b
3) y^5/ y^2+y-6
500
Farmer Lulu wants to build a new house. Calculate the area of her house according to its description:
A circle sector with diameter 3.16m and central angle 18 degrees, on top of an equilateral triangle with sides 16m each. Give your answer in cm squared and to one decimal place.
1,003,891.2 cm squared.
500
Charlie has a bar of chocolate but Mr Carrot takes a bite out of it. Calculate the area of the chocolate Charlie has left.
34.29cm^2.
500
Solve the following:
(x +2)(x+3) + (14/4 + 8/32)
x squared + 5x + 9.75
500
Find the volume of the following shape, and the area of the top side. Give your answers to three significant figures.
V = 103cm^3, A = 154cm^2