Maths practice for 14 year olds - page 18 of 370

Number of problems found: 7388

20 men
20 men are supposed to complete a work in 10 days. After working for 5 days, they realize that only one-fourth of the work is done. How many more men they need to employ to complete the work on time?
Offset the mean
The mean of 16 numbers is 8. If 2 is added to every number, what will be the new mean?
Plasticine cuboid
Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube?
To percentages
Convert the following ratios to percentages. (a) 3 : 4 (b) 2 : 3 (c) 5/8 (d) 15/16
Overtime and salary
An employee earns R150 per hour, and the agreed normal working hours are 45 hours per week. Overtime is paid at 1 1/2 of the normal rate. Suppose Dave works 52 hrs during the first week of March. What will the total earnings for that particular week be?
Double sides
If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle.
Taps and a tank
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Manday, manhour
Job problem: 10 men can make 20 toys in 12 days working 12 hours a day.Then, in how many days can 24 persons make 32 toys working 16 hours a day?
Tricky result
Classic adding with percentages: Evaluate 28% of 450 + 45% of 280
Two chords 6
A chord PQ is 10.4cm long, and its distance from the center of a circle is 3.7cm. Calculate the length of a second chord RS, which is 4.1cm from the center of this circle.
Bad weather
An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight.
Numerator and denominator
If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction?
Two coins
Two coins are tossed simultaneously. What is the probability of getting (i) At least one head? (ii) At most one tail? (iii) A head and a tail?
Solution dilution
I'm further diluting a solution which has previously been diluted. I started with a 1:4 dilution, then diluted that a further 1:5, what is my dilution factor after this?
The marathon
Twelve athletes are joining the Topolcany Marathon Event. How many ways can the first, second, and third placers be chosen?
Richard
Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on tails and the die will land on an even number?
Empty rooms
In the tourist dormitory, 44 students slept in eight rooms, some of which were four-bed and others six-bed. When two beds were empty, how many four-bed and six-bed rooms were there in the dormitory?
One muffin
Eight muffins and one drink cost $8.12. If the drink costs $1.24, find the cost of one muffin.
Mixed numbers equation
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box.
A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²?

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