Maths practice for 14 year olds - page 9 of 312
Number of problems found: 6233
- Bank deposits
At the end of each quarter, Patti deposits $1,400 into an account that pays 10% interest compounded quarterly. How much will Patti have in the account in three years? Note: Use tables, Excel, or a financial calculator round your final answer to the neares - The angles 4
The angles of a triangle are divided into the ratio 126: 213: 312. If the three angles sum to 180°, find the size of each of the three angles. - Three sets
Of 240 students, 173 are on the honor roll, 48 are members of the varsity team, and 36 are on the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the vars - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation.
- A potato
A potato farmer incurred a total cost of $1600 and $2500 from producing 5 and 8 potato bags, respectively, in 2 separate weeks. Find the cost of x bags. - 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. - Create 6
Create a new drink can that will double the volume of the original can used. 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 : Optio - 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?
- Inheritances
According to a will, the inheritance is to be divided among 2 sons and 1 daughter. The ratio of the amount given to the eldest son to the amount given to the daughter is 2:1 the ratio of the amount given to the youngest son to the amount given to the daug - 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?
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