Maths practice for 14 year olds - page 22 of 315
Number of problems found: 6282
- Heat energy
Energy is measured using the unit Joule (J). Temperature is measured using the unit degree Celsius °C). To increase the temperature of 1 liter of water by 1°C, 4200 J of heat energy is required. (a) Kelly wants to increase the temperature of 2 liters of w
- Two chords 2
The length of one of two chords of a circle is 12cm. If the chords are 6cm and 7cm, respectively, away from the center of the circle, calculate the length of the second chord.
- Amy, Cindy
Amy, Cindy, and John shared a sum of money among themselves in the ratio of 5:8:11, respectively. If the money had been divided equally among themselves, Amy would have received an extra $18. (a) Would the amount of money that Cindy received change? Expla
- A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m².
- Jake desires
Jake desires to purchase a house valued at 3000000. The bank approves his mortgage with a 12% deposit and 5% interest. What is the deposit?
- A fair dice
A fair six-sided dice are rolled. What is the probability that the first number rolled is greater than 1 and the second number rolled is odd? Type your answer as a fraction in the simplest form.
- New drink
Create a new drink can that will double the volume of the original can used. The dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : O
- AP with variables
What is the second member in the arithmetic sequence with 7 terms, whose first and last terms are x+2y and 7x-4y
- Emu vs. Ostrich
The ostrich and the emu are the two largest birds. An emu is usually 1/2 the size of an ostrich. The sum of their heights is 150 inches. How tall is the average ostrich?
- Dinesh 2
Dinesh left town L for town M at a constant speed and took 10 hours to complete the journey. At the same time, Saanvi left town M for town L, traveled at a constant speed, and took 6 hours to complete the journey. They both passed each other at a point 72
- A fruit 3
A fruit market sells mangoes and apricots in a ratio of 3:2. If their sales of mangoes and apricots combined came to 35, how many apricots did they sell?
- HST Ontario
Wants to buy some new stylish shoes for back to school in grade 8. These crocs cost 59.99 before tax. How much does he need to pay in total in Ontario (sales tax HST=13%)?
- Mrs. Clarke
Mrs. Clarke is teaching a 5th-grade class. She is standing 40 feet in front of Valeria. Sarah is sitting to Valeria's right. If Sarah and Mrs. Clarke are 50 feet apart, how far apart are Valeria and Sarah?
- A trail mix
Diego is making a trail mix for him and his friends to take with them on a hike next week. He mixes 4 2/6 pounds of mixed nuts, 3 3/6 pounds of peanuts, and 2 3/6 pounds of chocolate chips. How many 1/3-pound bags of trail mix can he make?
- A right
A right triangle has side lengths a=3, b=5, and c=4, as shown below. Use these lengths to find tan x, sin x, and cos x.
- The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height.
- I have 2
I have $907 to pay 13 people. Five people will receive half of what the other 8 people will receive. How much will the payments to each person be?
- Belle
Belle is planning to buy a cake and a dress as a gift for Alice. The price of the cake is Php 40.00 more than half the price of the dress. The total cost of the cake and the dress is 670.00 Php. How much is the cake?
- Map scale
On a map, on a scale of 1:50000, what is the distance in kilometers that 6 cm on the map represents?
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