Math practice for 13 year olds - page 19 of 399

Number of problems found: 7966

Numerator and denominator
If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction?
Two coins
Two coins are tossed simultaneously. What is the probability of getting (i) At least one head? (ii) At most one tail? (iii) A head and a tail?
Katy bought
Katy bought 4/5 kg of oranges, 2 1/2 kg of bananas, and 1 1/2 kg of apples every day. How many kilograms of fruit did she buy each day?
Walnuts 2
There are 6 2/3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 1/2 pounds. How many containers will walnuts fill?
The marathon
Twelve athletes are joining the Topolcany Marathon Event. How many ways can the first, second, and third placers be chosen?
A rope
A 75 m piece of rope needs to be cut in a ratio of 1:4. What is the length of each piece?
Closer to one
Here are two sums: A=1/2 + 1/3 and B=1/5 + 1/3. Which of the two sums is closer in value to 1? You must show your work and state clearly whether the answer is A or B.
Lara's sequence
Lara starts with a number less than 20. She divides it by 2 and adds 6. She then divides this result by 3. Her answer is 4.5. What number does she start with?
Empty rooms
In the tourist dormitory, 44 students slept in eight rooms, some of which were four-bed and others six-bed. When two beds were empty, how many four-bed and six-bed rooms were there in the dormitory?
One muffin
Eight muffins and one drink cost $8.12. If the drink costs $1.24, find the cost of one muffin.
Mixed numbers equation
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box.
Negative mixed number 2
What is the product of 1 1/2 and -1 1/4? Enter your answer as a mixed number, in simplest form, in the box.
Monthly expenses
John's monthly expenses are analyzed as follows: 1/8 for stationery, 1/3 for fuel, 1/6 for parking, and the rest for food. His total expenses are 4500. Calculate the rand value of the food expenses.
Electronics price loss
Archie buys a TV set for 15000. After some time, he plans to sell it again and reduce the price by 800. What is the percent of loss?
13 times
1/3 times the sum of a number, and 2.6 is 4.9. What is the number? Enter your answer as a simplified mixed number in the box.
A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²?
Water per day
Liam's goal is to drink 12 cups of water a day. So far, Liam has drank one-half gallon of water today. How much more water, in OUNCES, does Liam need to drink today to reach his goal of 12 cups of water per day?
Grain storage
On their farm, Adam's family maintains a storage facility that can hold 19.2 cubic yards (yd3) of grain. Since 1 yard is approximately equal to 0.9144 m, this volume can be converted to m³.
Regular polygons
The number of sides of two regular polygons differ by 1. The sum of the interior angles of the polygons is in the ratio of 3:2. Calculate the number of sides of each polygon.
Vidya
Vidya and Peter went for a picnic. Their mother gave them a 5-liter water bottle. Vidya consumed 2/5 of the water, and Peter consumed the remaining water. How much water did Vidya drink? How much water did Peter drink?

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