Math practice for 13 year olds - page 70 of 353
Number of problems found: 7056
- The coordinates 2
The coordinates of the vertices of the triangle shown are A(1,7), B(5,2), and C(5,7). What is the length of segment AB in units?
- Kinetic energy
A 100 kg car has a velocity of 15 m/s. What is the car's kinetic energy?
- Hypotenuse 78844
Construct triangle KLM if side m=6.5cm, hypotenuse tm=4cm, height to side m: vm=3.2cm
- Baking 5
Baking 120 kg of bread requires 87 kg of flour. How many kilograms of flour will be needed to bake 400 kg of bread?
- Daily balance
For the month of April, each checking account has a balance of $555 for 24 days, $2436 for one day, and $243 for five days. What is the daily balance of the account for April?
- Numbers 78704
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?
- 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?
- Deteriorating 78504
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
- 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.
- 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.
- Right-angled 78394
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 78334
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?
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