Maths practice for 14 year olds - page 214 of 371
Number of problems found: 7413
- Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Flawless
Of the 3820 products, 3792 were flawless. What percentage was due to failures? - Persons
Persons surveyed:100 with the result: Volleyball = 15% Baseball = 9% Sepak Takraw = 8% Pingpong = 8% Basketball = 60% Find the average of how many like Basketball and Volleyball. Would you please show your solution? - Car and motorcyclist
A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds. - Simplify
Simplify expression - which expression is equivalent to: 3(m + 2) − 4(2m − 9) - Isosceles triangle
In an isosceles triangle, the arm's length and the length of the base are in a ratio of 3 to 5. What is the length of the arm? - Lee is
Lee is eight years more than twice Parker's age. Four years ago, Lee was three times as old. How old was Lee 4 years ago? - Rectangular plot
The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the plot's perimeter is 36m. Find the area of the diagonal of the plot. - Vítovcová 7776
Ms. Vítovcová and Ms. Kupcová went to Paris for a few days. Mrs. Vítovcová exchanged 30 marks and 100 francs at the exchange office and paid a total of 1,200 CZK. Ms. Kupcová paid a total of CZK 1,400 for 10 marks and 200 francs. How many crowns was the m - Mathematics 7775
A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered. How many pages does this textbook have if it is: a) single-volume b) two-volume (with both parts hav - Following 7774
The store sells 3 types of cakes: poppy, cottage cheese, and jam. They all cost the same. As of yesterday, the following offer applies: If you buy any 8 of these cakes, you will pay for only 5. How much percent less will I pay now for 8 of these cakes? - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an - Driver's 7771
How long does it take for a 15C charge to pass through the driver's average if a 3mA current passes through the driver? - Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area. - Rectangle 7768
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of - Increase 7763
What number do we need to multiply by 20 to increase by 5% - Calculate 7762
Calculate the size of the diagonal of an ABCD square whose perimeter is 40cm - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Three-part novel
In how many ways can seven books be stored on a shelf if there is one three-part novel to be placed side by side?
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