Math practice for 13 year olds - page 96 of 429

Number of problems found: 8562

Number line middle
Which number lies exactly in the middle between the numbers 258 and 326 on the number line?
Three 205
Three metallic bars of lengths 400 cm, 600 cm, and 720 cm are cut into equal pieces. Find the largest possible area of a square that can be made from any of the three bars.
Two painters
Two painters are assigned to finish painting the houses in a housing project. John can finish a house in 4 days, and Kurt painted it in 3 days. How long would it have taken if John and Kurt had worked painting the house together?
The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²?
Ulysses
Ulysses bought 6 1/2 kg of beef, 3 3/4 kg of pork, and 5 1/2 kg of chicken. If 1 kg of beef costs 400 pesos, 1 kg of pork costs 300 pesos, and 1 kg of chicken costs 170 pesos. How much change is left if he gives 5,000 pesos for his purchase?
Block volume height
The block has a length of 12 cm and a width of 0.6 dm. The height is the same size as the edge of a cube whose volume is 64cm³. Calculate the volume of the cuboid in cm³.
Hiker average speed
The hiker walked for 3 hours at a 4 km/h speed. Due to the deteriorating weather, he increased his pace and walked at 7 km/h for the next hour and a half. At the end of his trip, it started to rain, so he started running at a speed of 20 km/h for 30 minut
Unknown number quarter
A quarter of an unknown number multiplied by 4 equals 30% of that unknown number. Determine the unknown number.
Soccer season
Joel is training for soccer season. On Monday, Joel exercises for 20 minutes before school, and 25% of that time is spent playing soccer. On Mondays, he exercises for 60 minutes after school, and 40% of that time is spent playing soccer. What is the total
A truck 4
A truck covers a particular distance in 3 hours with a speed of 60 miles per hour. If the speed is increased by 30 miles per hour, find the time the truck takes to cover the same distance in hours.
Six pipes
6 Pipes are required to fill a tank in 1 hour 20 minutes. How long will it take to use only five pipes of the same type? Give your answer in hours and minutes.
Thabo
Thabo uses 3 ½ liters of petrol per week for his motorcycle. How long will he be driving with 49 liters?
Overnight change
It was 13°C yesterday, but the temperature changed by -18.6° overnight. What is the temperature now?
Hydraulic jack
Hydraulic jack has a capacity of 10 tons. The hydraulic lifter has 6 cm² and 360 cm² pistons. Determine the diameter of the small piston (d) and the force I will create on the piston (F). Design a single-reverse and a double-reverse lever.
Largest possible area
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle.
Ava ran
Ava ran 4 1/6 miles in 36 11/24 minutes. Assuming she kept a constant pace, how many miles did she run each minute?
Socks
Ben's favorite colors are blue and green. He has six blue socks and six green socks in his sock drawer. Unfortunately, they are completely mixed up, and one day, he has to grab some socks to wear in complete darkness. How many socks (minimum) does he have
Marksman shelter speed
The igniter cord used in normal quarry blasting burns at a rate of 8 mm/s, the length usually used is 60 cm. At what minimum speed must the marksman move to a shelter 150 m away?
A book 3
A book that is printed on both sides has 36 pages. If the book is 3/8 cm thick, determine the thickness of one page in cm.
Car uses
The car uses 91 liters of petrol to travel 700km. Determine the rate in liters per 100km.

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