Math practice for 13 year olds - page 17 of 421
Number of problems found: 8413
- To percentages
Convert the following ratios to percentages. (a) 3 : 4 (b) 2 : 3 (c) 5/8 (d) 15/16
- Overtime and salary
An employee earns R150 per hour, and the agreed normal working hours are 45 hours per week. Overtime is paid at 1 1/2 of the normal rate. Suppose Dave works 52 hrs during the first week of March. What will the total earnings for that particular week be?
- Double sides
If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle.
- Taps and a tank
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
- Manday, manhour
Job problem: 10 men can make 20 toys in 12 days working 12 hours a day.Then, in how many days can 24 persons make 32 toys working 16 hours a day?
- Tricky result
Classic adding with percentages: Evaluate 28% of 450 + 45% of 280
- Two chords 6
A chord PQ is 10.4cm long, and its distance from the center of a circle is 3.7cm. Calculate the length of a second chord RS, which is 4.1cm from the center of this circle.
- 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 75m 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.
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