Maths practice for 13 year olds - page 9 of 341
Number of problems found: 6814
- The sum 40
The sum of the two numbers is 75. If the smaller number is 20 more than 1/5 of the larger number, find those two numbers. The large number is x, and the small number is y. - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - The pole in the mud
4/7 of a pole is in the mud. When 1/3 of it is pulled out, an 8 m long piece of the pole still remains in the mud. What is the full length of the pole? - The fractions
The fractions 10/3 and 10/X give the same answer when multiplied as they do when they are added. Find the value X.
- Orange juice
Water and orange are mixed in a ratio of 7:4. An amount of 36 cm³ of orange is used. What volume of water is used? - The price 6
The price of petrol is set to increase by 5% next month. If the current fuel price is R9,00 per liter, what will the new petrol price be next month? - A number 8
A number K is such that when it is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K - A man 15
A man owns a piece of land worth 0.6 million. He taxed in 3/4 of its value at the rate of ₱7.00 per 1000. How much is he paying for the tax on his property? - Three 237
Three vertices of a rectangle have the coordinates (5, 3), (5, -1), (-1, -1). What are the coordinates of the fourth vertex of the rectangle?
- A store 2
A store sells 12 oz of Brand A for $1.20 and 16 oz of Brand B for $1.50. Which is the more economical buy? - A student 5
A student took the measurements of his classroom and gave the width as 7m and the length as 9m. If there is an error of 2 percent in measurement, determine the greatest value of [X+Y]/X if X and Y are the width and length of the classroom, respectively. G - Colour
The square is divided into 100 squares. If you needed to color 49%, how many squares would you color? - A biker
A biker traveled from city A to city B via city C with a uniform speed of 52 km/h. He then returned directly to city A with a uniform speed of 89 km/h. Find, in minutes, the total time of his whole journey to two decimal places. City distance A from B is - Glue strength
At 40°C, it takes 3 hrs to get 125% glue strength. How long does it take to get 100% at 50 ˚C? The higher the temperature, the faster it cures the glue.
- Logical and
At a football game, 8/15 of the fans wore team T-shirts. Of those wearing team T-shirts, 1/4 also wore team hats. What fraction game wore both a team T-shirt and a team hat? - Ekene and Amina
The probability that Ekene will be alive in 5 years' time is 3/4, and the probability that his wife Amina will be alive in 5 years' time is 2/5. Find the probability that in 5 years' time: a) both of them will be alive b) only Ekene will be alive - Your brownie
Your brownie recipe calls for 5 cups of butter to make 80 brownies. You want to make 100 brownies for your family. How much butter should you use? - An electorate
In an electorate, 3/4 th of the voters are Tamils. Of the remaining 2/3 rd are Muslims, and the others are Sinhalese. If the number of Sinhalese in that electorate is 587, find the number of voters in that electorate. - Fittings
If 7 3/4 dozen 1/2 inch connector fittings cost $31, what is the cost per dozen?
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