Math practice for 13 year olds - page 10 of 357
Number of problems found: 7130
- Known hcf and find lcm
Given that HCF (306, 657) = 9, find LCM (306, 657). - 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 - Midpoint 11
Consider the following line segment - start point A=(-4,1), endpoint B=(4,-1). Find the midpoint. Please show your work. - Three ratios 2
What is the ratio of bases of two triangles when the ratio of their heights is 3:4 and the ratio of their areas is 4:3?
- Milk mixture
In a container, milk and water are 7:5. If 15 L water is added, the ratio becomes 7:8. Find the quantity of water in the new mixture. - The average 14
The average of the present ages of Susan and Beata is 36 years .If Susan is 8 years older than Beata. What is the Beata's present age? - Two pipes 3
Two pipes, A and B, can fill a tank in 15 minutes and 20 minutes, respectively. Both pipes are opened together. After 4 minutes, pipe A is turned off.What is the total time required to fill the tank? - Three 262
Three farmers, A, B, and C, hire meadow for Rs 1460. Farmer A puts in 10 cows for 20 days, farmer B 30 cows for 8 days, and farmer C 16 cows for 9 days. Find the rent paid by each one of them. - Days, hours, minutes
Add the following: 1 day 18 hr 45 m 55 sec, 13 hr 55 m 58 sec and 23 hr 49 m 45 sec
- Factorial divisible by 75 Find the least positive integer n such that n! is divisible by 75.
- The average 13
The average of 6 consecutive odd numbers is 64. Find the greatest number. - A conical
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - The size 3
The size of a wooden block is 15cm × 12cm × 20cm. How many such blocks will be required to construct a solid wooden cube of minimum size? - Three athletes A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point
- Two cats
Sally has 2 cats. Each cat eats 1/4 of a tin of cat food each day. Sally buy 7 tins of cats food. How many days did she feed her 2 cats? Show your work. - Carol 3
Carol reduces the size of a photo by 30%. If the length of each side is 12 cm, what is the length of the side of the new photo? - Divisors 7 If 540=2²×3³×5, what is the number of all factors of 540?
- Milk with water How many liters of water are to be mixed in 12 liters of milk costing Rs 40 per liter so that it can be sold at Rs 32 per liter?
- Slant height 3
The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height.
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