Maths practice for 14 year olds - page 75 of 376
Number of problems found: 7519
- 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?
- A sum 3
A sum of money is shared among Jamby, Fritz, and Alvin in the ratio of 5:2:3. If Jamby received Php 35, find the amount of money received by Alvin and the total sum of money shared.
- Movie theatre
At the movie theatre, child admission is 5.40, and adult admission is 9.70. On Thursday, the theatre sold 159 tickets for a total sales of 1142.40. How many child tickets were sold that day?
- Raj walk
Raj walks 9/7 km from place A towards the east and then 2 1/4 km from there towards the west. Where will he be now from A?
- Gardener 75344
A gardener lays tiles around a square flower bed. It needs 12 tiles around the 2x2 bed. How many tiles will he need around the size of the bed? a) 9x9 b) nxn? How big was the bed for which the gardener consumed c) 112 d) 4n tiles?
- Rectangular 75334
In the rectangular coordinate system, find the images of points A[-3; 2] and B[4; -5] in central symmetry according to point O[0; 0]. A. A'[3; 2], B'l-4; -5] C. A'[-3; -2], B'[4; 5] B. A'[-3; -2], B'[-4; 5] D. A'[3; -2], B'[-4; 5]
- Six segmants
Given are 6 line segments with lengths of 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm. How many equilateral triangles can make from them? List all the options.
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