Reason - practice for 13 year olds
Number of problems found: 863
- Division with a remainder
Find the least number which when divided by 8, 12, and 20 leaves a remainder of 5 in each case. - A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum. - Three people
Three people - Peter, Quinton and Roland. 5 years ago, the average age of P and Q was 15 years. Present average age of P, Q and R is 20 years. Find the age of R after 10 years. - Common work 39 men can repair a road in 12 days working 5 hours a day. How many days will be required to complete the work by 30 men working 6 hours a day?
- Big school 2
The ratio of the number of boys to the number of girls in a school of 450 pupil is 4 : 5 . When some new boys and girls are admitted, the number of boys increases by 25 and ratio of boys and girls changes to 9 : 13 . Calculate the number of new girls admi - Clock error
How much does a watch lose per day, if its hands coincide every 64 minutes? - Minimum interior angle
What is the minimum interior angle possible for a regular polygon? - Milk bottles
A container of milk was 4/5 full. When 12 bottles of milk were taken out and 8 bottles of milk poured into it, it was 3/4 full.How many bottles of milk can the container contain? - Full-tank
A full-tank of petrol a car lasts for 10 days. If driver starts using 25% more everyday, how many days will the full-tank petrol last?
- A contractor 2 A contractor has to complete his contract in 92 days. 234 men were set to do the work, each of them works for 16 hours/day. After 66 days, 4/7 of the work is completed. How many additional men may be employed, so that the work may be completed in time, ea
- Multiple and remainder
What is the least multiple of 7, which, when divided by each one of 6,9,15,18, gives the remainder of 4 in each case? - Sport field
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Roland takes 12 minutes for the same. Suppose they both start at the same point and at the same time and go in the same direction. After how many - Secondary 5 Secondary Middle School has 1200 students. Each student takes 5 classes a day. Each teacher teaches 4 classes. Each class has 30 students and 1 teacher. How many teachers are there at Secondary Middle School?
- Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- The reflection law
AB is a mirror, PQ is the incident ray, and QR is the reflected ray. If angle PQR = 112°, find angle PQA. - Diagonals
What is the number of diagonals of a decagon? - Remainder one Find the least number when divided by 2,3,4,5,6, and 7, leaving the remainder as 1 in each case.
- 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?
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