Maths practice for 14 year olds - page 77 of 371
Number of problems found: 7408
- 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. - A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile? - A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and seven are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors - The interior
The interior angle of a regular polygon is x. If x is 9° less than the average of 153° and 145°, find the number of sides of the polygon. - The radius
A right circular cone's radius and slant heights are 9 cm and 15 cm, respectively. Find, correct to one decimal place, the (i) Height (ii) Volume of the cone - A Shopkeeper 4
A Shopkeeper gave a bill to a customer. The bill was in two digits but was mistakenly interchanged, thereby undercharging the customer by $45.00. If the sum of the digits is 9, find the actual value of the bill.
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