Maths practice for 14 year olds - page 72 of 378
Number of problems found: 7554
- Swimming 79054
One hundred seventy-one pupils from the second to fourth years of primary school participated in swimming training. How many of them were from the fourth grade if there were 10% more third graders than second graders and 20% more fourth graders than third
- Pencils 4
Pencils, Pens, and Exercise books in a shop are in the ratio of 1:2:3. If there are 12 pencils, the number of exercise books in the shop is:
- Bag of marbles
In a bag full of marbles, 1/4 of these marbles are green, 1/8 are blue, 1/2 are yellow, and the remaining 26 are white. How many marbles are blue?
- Hand soap
A bottle of hand soap costs $2.50. The same bottle of hand soap went on sale for $2.00. What is the percent decrease in the price of hand soap?
- Rectangle - area and width
The length of the rectangle is 1 cm more than its width. Its area is 4 cm². What is its width?
- 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?
- Gingerbread 78864
One package of chocolate costs 9 CZK more than one package of gingerbread. Five packages of chocolate were CZK 15 more expensive than 10 packages of gingerbread. How much was a package of chocolates, and how much was a package of gingerbread?
- Sum of absolute values
Is it possible for |r| + |s| = |r+s|? If so, when?
- 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?
- The temperature 36
The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F. What was the average temperature for the day
- 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?
- 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?
- 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
- Multiplied 78494
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
- 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.
- 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
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