Maths practice for 14 year olds - page 12 of 370

Number of problems found: 7388

The HCF
The HCF of two numbers is 18 and their product is 12960. Their LCM will be
Billy 2
Billy has 3/4 of the money Derek has, and Derek has 7/9 of the Jason has. If they have a total of $680. How much does each person has?
Missing side length
Use the Pythagorean Theorem (a² + b²=c²) to find a unknown side length: a = 5; c = 13 ; b=?
Multiple and remainder
What is the least multiple of 7, which, when divided by each one of 6,9,15,18, gives the remainder of 4 in each case?
A boat 2
A boat can travel with a speed of 13 km/h in still water.If the speed speed of stream is 4 km/h, then find the time taken 1) to go 68 km downstream . 2) to go 63 km upstream .
A passenger
A passenger train, 150 m long, passes a railway platform, 200 m long, in 35 seconds. Find: 1) speed of the train in km/h 2) the time taken by the train to pass a man cycling in the direction of the train at the rate of 9 km/h.
The first
The first 300 km of a journey is covered in 10/3 hours, and the remaining journey is covered in 8/3 hours at 75 km/h. Find the average speed of the whole journey.
An election
In an election between two candidates, one candidate secured 43% of the total votes polled and lost the election by 4900 votes. Find the total number of votes polled.
Telephones
The cost of manufacturing x telephones by Josh Mobiles is given by C = 500 + 45x, and the revenue from selling these are given by R = 65x. How many telephones must be produced and sold in order to realize a profit?
The difference 8
The difference between the ages of two brothers is 10 years, and 15 years ago their ages were in the ratio 2:1.Find the ratio of their ages 15 years hence .
A man 20
A man sells an article at successive discounts of 10% and 5% on the listed price. Another man sells the same article at a discount of 15%.If the difference between the two selling prices be Rs 24, find the listed price of the article.
Three pipes PPM
Pipe A can fill a tank in 20 h while pipe B can fill it in 10 h and pipe C can empty the full tank in 30 h. If all the pipes are opened together, how much time will be needed to make the tank full?
Walker
Walker A takes 3 hours more than B in walking 30 km. If A doubles his speed, he will take 2 h less than walker B. Find the speeds of walkers A and B .
Number 77
Find a number which is as much greater than 31 as it is less than 77. Many failed to do it!
Two men
2 men or 3 women can do a piece of work in 45 days. Find, in how many days 6 men and 1 women be able to complete the same work.
Wheat plus and minus
If the price of wheat is increased by 20% today, at what percent should it be decreased tomorrow, so as to bring down the price back to the original?
Known hcf and find lcm
Given that HCF (306, 657) = 9, find LCM (306, 657).
Midpoint 11
Consider the following line segment - start point A=(-4,1), endpoint B=(4,-1). Find the midpoint. Please show your work.
Three ratios 2
What is the ratio of bases of two triangles when the ratio of their heights is 3:4 and the ratio of their areas is 4:3?
What will
What will be the average of the numbers from 1 to 51?

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