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 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
A = (-1,-3), B = (-3,-3), C = (-3,-1)
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) If Alice has 4.5n, and uses 60% of this to buy a hot air balloon for £6000, state the original value of n and how much money Alice had originally.
1% = £100, 4.5n = £10,000. 10,000/4.5= 2,222.22 (recurring). n = £2,222.22.
400
Solve (2x − 3)³ − (x − 4)³
7x³ - 24x^2 +6x +37
400
Shape A has been rotated 180 degrees around the point (0,0), giving it the new coordinates of (0,-3), (3,55), and (3,-3).
400
(Non-calculator) Rainbow and Charlie both travel 90 miles to get to Santa's lab, without any breaks. Rainbow drives and it takes her 1 hour 30 minutes. Charlie cycles and it takes her 7.25 hours. Work out the difference between their average speeds.
Rainbow= 60mph, Charlie = 12.41mph. Difference = 47.59
400
(Non-calculator) State the value of x and y.
3x - 2y = 60
5x - 6y = 130
x = 12.5
y =-11.25
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
Farmer Lulu goes to see a new movie about aliens. It has a 12 hour running time split up in a 6:8:2 ratio, with breaks between each section. How long does each section last in minutes?
270:360:90.
500
Solve the following:
(x +2)(x+3) + (14/4 + 8/32)
x squared + 5x + 9.75
500
A cone has a radius of 6cm and a height of 46cm. Find its volume and give your answer to three decimal places.
V = 1/3 pi r^2 h. V = 1716.818 cm.