Maths practice for 14 year olds - page 5 of 367

Number of problems found: 7329

The tourist
A man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/h and partly by bicycle at 9 km/h. Find the distance travelled on foot.
4100 USD
$4,100 was distributed among 50 boys and girls. Each boy received $90 and each girl $65. Find the number of boys.
Triangle 90
A triangle has sides of 6 cm, 4.5 cm, and 7.5 cm. What are the sizes of its angles?
Somebody
Somebody spends 5% of his wages on school fees. That amounts to 800 shillings. How much does he earn?
The sum 51
The sum of two numbers is 100 and their difference is 37. Find the difference between their squares.
By selling 2
By selling 100 pens, a shopkeeper gains the selling price of 20 pens. Find his gain percentage.
Percents and ratio
When 20% of one number is added to a second number, the second number increases by 50%. What is the ratio of the two numbers?
5 yrs
5 years ago, the average age of Rasmi and Suravi was 20 years. Now, the average age of Rasmi, Suravi, and Mita is 30 years. What will be the age of Mita after 15 years?
Inverse percentages
If a is 40% of b, what percentage of a is b?
A baseball
A baseball is hit over a fence that is 325 feet away and 110 feet tall. How far did the ball travel in a straight line when it reached the fence?
The boat
A boatman rows 2 km against the current in 40 minutes and returns to the same spot in 30 minutes. What is his rowing speed in still water?
Dual profit
A merchant has 1,000 kg of sugar, part of which he sells at an 8% profit and the rest at an 18% profit. He gains 14% on the whole. Find the quantity sold at an 8% profit.
Fund raising
A number of people decided to raise 3 million euros by contributing equal amounts. Had each person contributed 50 euros extra, the total contribution would have been 3.25 million euros. How many people are there?
An article 2
An article is bought for $124. What should the marked selling price be so that there is a profit of 10% even after allowing a discount of 12%?
Three inscribed objects
A circle is inscribed in a square. An equilateral triangle with side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
Price of rice
The price of rice is reduced by 5%. How many kilograms of rice can now be bought for the money that was sufficient to buy 50 kg of rice before the reduction?
Bananas 5
A fruit vendor was able to sell 85% of his 80 kilograms of bananas. How many kilograms of bananas were sold?
A kite 3
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in th
Failed in examination
In an examination, 20% of the total students failed in history, 15% failed in English, and 5% of the total number of students failed in both subjects. Find the percentage of the total number of students who passed in both subjects.
Horses and hens
In a park, there are some horses and some hens. If the total number of heads is 68 and the total number of legs is 198, find the number of hens in the park.

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