Maths practice for 14 year olds - page 262 of 371
Number of problems found: 7404
- Sportswear 5358
They reduced the winter jacket in the sportswear store by 24% and another 15% from the new price, so it cost 3876 kc. How much did the winter jacket cost before the first discount? - One million
Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions. - Motorcycle 5354
The diameter of the motorcycle wheel is 60 cm. How many times does the wheel turn on a track 1,884 km long? - Difference 5344
the product of the sum and difference of the numbers -2.3 and 4.7 - Alcohol mixture
Three liters of 96 percent alcohol set up a certain amount of distilled water to form 54 percent alcohol. How many liters of distilled water were used? - Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB. - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Construct 5333
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm. - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - Isosceles triangle
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c. - Staircase 5322
Find out if the handrail on a staircase with 20 steps will be longer than 7 m if the step is 32 cm wide and 15 cm high. (1 = Yes, 0 = No) - Rectangular 5320
Forest workers planted the rectangular forest nursery with dimensions of 80m and 50m 2/5 with spruce, 12 ares were planted with beech, and the rest grew other deciduous trees. Determine what area the other deciduous trees are growing on. - Participants 5319
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Spending
Suppose I spend 25% of my net pay of $922.28 on entertainment. How much money is that? - Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres) - Three-digit 5312 Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits.
- Big Ben clock
They had three tower clocks in the city. Some went right, others were 10 minutes ahead of the day, and the third was 12 minutes late each day. One day, they struck all the clocks at noon at once. How long will it be like this again? - Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n
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