Maths practice for 14 year olds - page 257 of 361
Number of problems found: 7214
- Spending
Suppose I spend 25% of my net pay of $922.28 on entertainment. How much money is that? - Diamond base
A prism with a rhombus-shaped base has base diagonals of 24 cm and 20 cm. Calculate the height of the prism if its volume is 9.6 dm³. - Four-digit number
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 - Body diagonal
Cuboid with base 7 cm x 3,9 cm and body diagonal 9 cm long. Find the height of the cuboid and the length of the diagonal of the base, - The mast
A 40 m high mast is secured in half by eight ropes 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance. - Exponential equation
Solve for x: (4^x):0,5=2/64. - Cube wall
The perimeter of one face of a cube is 120 meters. Calculate the surface area and the space diagonal of this cube. - Kaufland sales-off
As a rule, the goods are approaching the end of consumption in Kaufland three days before the consumption ends 30% off and one day before the consumption ends 50% discounts. Sometimes, however, the seller has been mistaken, and the second discount is alre - Finding the base
Find the unknown base of percent: 12.5 percent of what = 16? - Part-timer payment
Three part-timers have a total of CZK 2,850. The first received 20% less than the second part-timer, and the third part-timer received CZK 50 more than the second part-timer. How much CZK did the first, second, and third part-timers get? - The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - Debt Joe and Caryl have a debt of $100,500. Joe makes $90,000 annually, and Caryl makes $35,000 annually. Based on their salaries, how much should both pay to zero out the debt fairly?
- Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm (a = base edge length) ha = 4 dm. (ha = base triangle height length) v = 23 dm (v = body height) - ICE train
German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 110 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the average train speed for both journeys woul - Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be? - Six on dice
When throwing two dice, what is the probability they will fall at least one six? - Sum on dice We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)?
- Outer angles
The outer angle of the triangle ABC at the A vertex is 71°40 ' outer angle at the vertex B is 136°50'. What size is the inner triangle angle at the vertex C?
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