Math practice for 13 year olds - page 16 of 419

Number of problems found: 8370

Line segments
There are three line segments on the line: the length of MN = 3 1/2, the length of NO= 2 3/4, and the length of OP=1 2/3. Find the length of line segment MP. Write your answer as a mixed number.
The salary 4
The salary of a worker is first increased by 5% and then it is decreased by 5% . What is the change in his salary?
LCM and HCF 2
If the product of two numbers is 5780 and their HCF is 17, then what is their LCM?
Roland 2
Roland sold his watch at a 15% loss. If he had sold it for 210 USD more, he would have made a profit of 20%. Find the cost of price of the watch.
Remainder one
Find the least number when divided by 2,3,4,5,6, and 7, leaving the remainder as 1 in each case.
Divisible by three
What least value must be assigned to the unknown x so that the number 789x563 is divisible by 3?
Father and son 10
Two years ago, Philip was 3 times as old as his son, and 2 years hence, twice his age will be equal to 5 times that of his son. Find their present ages.
Two places 3
The distance between two places, A and B, is 90 km. Two cars start together from A and B. If both the cars go in the same direction, they meet after 9 hours, and if they go in opposite directions, they meet after 9/7 hours. Find their speeds. (Assume that
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.
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

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