Equations
Equations
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100
Solve for x:
4x+7=31
x = 6
100
Solve for x:
5x-8=27
x = 7
100
Find the circumference of the circle to 2 decimal points:
43.98 cm
100
A triangular prism has a base of 5 cm, a height of 3 cm and a length of 8 cm. Find its volume.
60 cm3
100
Solve for x:
x/4 + 7 = 12
x = 20
200
Solve for x:
7x-5=3x+19
x = 6
200
A number is multiplied by 4, and then 7 is added. The result is 39. What is the number?
8
200
Find the area of the circle in terms of pi.
25pi
200
A cylindrical drink container has a radius of 4 cm and a height of 10 cm. Calculate its capacity to the nearest mL.
503 mL
200
A semi circle has a diamter of 18 cm. Find its perimeter to the nearest cm.
46 cm
300
Solve for x:
3(2x-5)+4=4x+9
x = 10
300
Rearrange the following equation to make x the subject:
y=4x-7
x=(y+7)/4
300
A sector has a central angle of 60 degrees and a radius of 8 cm. Find the area of the sector. Give your answer to 1 decimal place.
33.5 cm2
300
A container in the shape of a rectangular prism has a capacity of 2400L. Find the height of the container if the base measures 2 m long and 0.8 m wide.
1.5 m
300
A school hires a bus for an excursion. The bus costs $180 to hire, plus $12 per student. The total cost is $516. How many students are going on the excursion?
28
400
Rearrange the following equation to make x the subject:
A=(3x+y)/4
x=(4A-y)/3
400
Solve for x:
x^2+3=28
x=5 and x=-5
400
Find the perimeter of the following sector. Give your answer correct to 2 decimal places.
24.57 cm
400
A tank in the shape of a parallelogram prism has a base of 25 cm and, perpendicular height of 16 cm and a length of 40 cm. It currently contains 11.5 L of water. How many more litres are required to fill it?
4.5L
400
A sector has a radius of 9 cm and a perimeter of 24 cm. Find the angle of the sector correct to the nearest degree.
38 degrees.
500
A bowling alley charges a $12 entry fee plus $7 per game. Another bowling alley charges a $20 entry fee plus $5 per game. Write and solve an equation to find how many games you would need to play for the total cost at each alley to be the same.
4 games
500
Three consecutive whole numbers have a total of 72. Write an equation and solve it to find all three numbers.
23, 24, and 25
500
The shaded sector below has an area of 48 pi cm2. Find the radius of the circle.
12 cm.
500
A cylindrical water tank has a diameter of 1.2m and a height of 1.5m. The tank is currently 65% full. Water is added to the tank using 12L buckets.
What is the minimum number of full buckets needed to completely fill the tank?
50 buckets.
500
A rectangular prism has a length of x+20 cm, a width of 40 cm and a height of 50cm. Its capacity is 120 L.
Find x.
40 cm