Math practice for 13 year olds - page 98 of 435
Number of problems found: 8682
- Water level 7
Between 9 PM and 6:45 AM, the water level in a swimming pool decreased by 4/9 inch. Assuming that the water level decreased constantly, how much did the water level drop each hour?
- 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.
- 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?
- Trapezoid and bases
Find the area of the trapezoid whose bases differ by three and whose height is three less than twice the upper base.
- Evaluate 26
Evaluate square root: √1³+2³+3³+4³=
- 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?
- 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.
- 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]
- The product 8
The product of five and the difference of triple the number and three is 25. Find the number.
- Germinate 75304
Out of 150 seeds, 12 did not germinate. How many seeds will not germinate if we sow 450 of them?
- 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 bus 3
A bus has a petrol tank in the shape of a cylinder. The cylinder is 125 cm long and has a diameter of 42 cm. (i) How much will a full tank of petrol cost at the rate of 5.23 per liter? (ii) If the bus uses petrol at 12.5 liters for every 50 km, how far ca
- 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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