Math practice for 13 year olds - page 2 of 428

Number of problems found: 8556

Trail mix
You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make, if each batch requires 2 3/4 cups of granola and 1 1/3 cups of peanuts?
Isosceles right triangle
If I have a right triangle with each leg on either side of the right angle measuring 24 inches, what is the length of the hypotenuse?
The ratio 22
The ratio of two numbers is 5:4 and their LCM is 800. Find the sum of the two numbers.
A,B and
A, B, and C invested capital in the ratio 1/3 : 1/4 : 1/5. After 4 months, A withdraws half of his capital. If the yearly profit is Rs 8,470, find A's share.
Velocity ratio 2
The ratio of the walking speeds of A and B is 2:3. If B takes 36 minutes to cover a certain distance, how long does it take A?
Spending in 3 days
Jesse spends 1/2 of his pocket money on Monday. On Tuesday, he spends 2/3 of what is left. On Wednesday, he spends 1/4 of what remains. What fraction of his pocket money does he have left?
Horses equation
Some men and an equal number of horses are travelling together. Half the men are riding the horses and the rest are walking alongside them. If the total number of feet on the ground is 70, how many horses are there?
Triangle 97
Triangle DEF with angle Ê = 40°, angle F = 90°, EF = 45 mm. Find the length of DE.
Negative degrees Celsius
From 1:00 a.m. to 10:00 a.m., the temperature dropped 7 °C. From 10:00 a.m. until 4:00 p.m., the temperature then rose 15 °C. From 4:00 p.m. to 10:00 p.m., the temperature then dropped 4 °C. At 10:00 p.m., the temperature was −14 °C. What was the temperat
Clara
Clara earned $24 for mowing her neighbour's lawn 3 times. If Clara charged the same rate and earned $32, how many times did she mow her neighbour's lawn? Use a unit rate to find the unknown value.
Cycloshop
On increasing the price of a bicycle by 14%, it becomes Rs 1,425. What was its original price?
Equilateral RT
In a right triangle, leg a = 12 and leg b = 12. What is the hypotenuse c?
Four plates
Four equal maximum-sized circular plates are cut from a square sheet of paper with an area of 784 cm². Calculate the circumference of each plate.
Length units
How many times does one and a half inches go into 12 feet?
Three in a ratio
If A is 40% more than B, and B is 20% less than C, find the ratio A:C.
School - boys:girls
In a school, 10% of the boys is equal to 1/4 of the number of girls, and 10% of the number of girls is equal to 1/25 of the boys. Find the ratio of the number of boys to girls.
Eva wraps
Eve wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square metres?
A solid
A solid consists of a cone standing on a hemisphere, both with equal radii of 1 cm, and the height of the cone equals its radius. Find the volume of the solid.
Compare ratios
Are the ratios 4:7 and 16:19 equivalent?
The profit 6
A man sells an article at a profit of 20%. If he had bought it at 20% less and sold it for $5 less, he would have gained 25%. Find the cost price of the article.

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