Maths practice for 14 year olds - page 76 of 379
Number of problems found: 7575
- A fair coin
A fair coin is tossed twice. Write down the set of possible outcomes. What is the probability of obtaining it? I. Exactly one head ii. No head
- Building a wall
If 12 men can build a wall 398 meters long in 48 days, how long would it take 33 men to build a wall 347 meters long? Answer to 3 decimal places.
- Jellybeans
There are 120 jellybeans in a bag. Sixty-three are orange, and the rest are red. In its simplest form, what is the ratio of orange jellybeans to red jellybeans?
- I bought 2
I bought two bottles of alcohol and two sanitizers for Php126. How much is a bottle of alcohol if the cost of alcohol is five times the cost of sanitizer?
- A cube
A cube has a surface area of 64 ft². Hedy creates a reduction of this cube using a scale factor of 0.5. What is the surface area of the reduction?
- One gas
One gas tank was 2/3 full. The second tank of equal size was 1/5 full. The amount of gas in the 1st tank was 100 liters. How many liters is the amount of gas in the second tank?
- Fuel volume
1/2 of a tank is filled with oil when 36 liters are removed, and the remaining oil fills 1/10 of the tank. What fraction of the total is the amount of oil removed?
- Weighted-average
Calculate the weighted average cost of the following inventory purchases: Date Quantity; Purchased ; Cost per Unit May 4; 33; $12.25 May 11; 41; $13.87 May 29; 37; $11.99
- A car 3
A car rental agency advertised renting a car for 27.95 per day and 0.28 per mile. If Greg rents this car for two days, how many whole miles can he drive on a $100 budget?
- School
There are 500 students in the school. 60% of them are boys, and the rest are girls. What is the percentage of girls? Also, find the total number of boys and girls in the school.
- Sari-sari store
Ms. Rona bought 25 kg of sugar for her sari-sari store. She then repacked the sugar into ¼ and ½ kg. If Alica packed 30 pcs of ½ kilograms of sugar, how many ¼ kg of sugar did she pack?
- A total
A total of 200 cash consists of 1-peso, 5-peso, and 10-peso coins, their values being in the ratio of 80:C:50. Find the ratio (in terms of quantity of coins) of 5-peso coins to 1-peso coins.
- Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
- A father
A father wants to leave 30,000 to his four children in the ratio of 1:2:3:4. How much will each child receive?
- Isosceles triangle
Find the area of an isosceles triangle whose leg is twice the base, b=1
- A committee
A committee of 6 is chosen from 8 men and 7 women. If a particular man must be included, find how many committees are possible.
- A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem.
- Ms. Althea
Ms. Althea reaped 180 tomatoes from her field. She gave 1/5 of them to a friend, sold 0.75 of the remainder, and kept the rest for herself. What percentage of the total did Ms. Does Althea keep it for herself?
- Probability 86
At a business conference, there were ten social workers, 16 doctors, five lawyers, and two journalists. If a person is picked at random from the entire group, what is the probability: a) to be a lawyer b) to be a doctor.
- Ivan rented
Ivan rented a truck for one day. The base fee was $14.95, and he drove an additional charge of 73 cents for each mile. When he returned the truck, he had to pay $114.96. How many miles did he drive the truck?
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