Math practice for 13 year olds - page 16 of 432
Number of problems found: 8632
- Students
In a school, 2/5 of the total number of students come by car while 1/4 by bus, and others walk to school, of which 1/3 walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own. Find the total number
- An adventurer
An adventurer makes 2/5 of a car trip, 1/3 on horseback, and the rest on foot. He walks 80 km. What is the total length of your route?
- The test 3
The provided test marks for a small class of student are as follows Don 70%, Jody 68%, Raz 65% and that of Max is not provided. If the class average is 75%, what is Max test marks?
- Two persons
Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train.
- 20 men
20 men are supposed to complete a work in 10 days. After working for 5 days, they realize that only one-fourth of the work is done. How many more men they need to employ to complete the work on time?
- Offset the mean
The mean of 16 numbers is 8. If 2 is added to every number, what will be the new mean?
- Plasticine cuboid
Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube?
- 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?
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