Maths practice for 14 year olds - page 25 of 379
Number of problems found: 7575
- General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse. - A shop 6
A shop sells cool drinks at R10 (Indian rupees) each, excluding 15% VAT. What is the price of the cool Drink, including VAT? - After 9
After reducing the price by 10%, the dress costs 270 GEL. What was the cost of the dress before it got cheaper? - Miloš
Miloš and Martin helped water the new vineyard. They had to carry water from the well in buckets. How did they divide the 20-euro reward if Miloš applied 20 buckets and Martin 30 buckets? - Joey had
Joey had 70% of his money in a savings account. The rest of his money was in a cheque account. (a). What percentage of his money was in his cheque account? (b). He had $240 in his cheque account. How much money did he have in his savings account? - 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. - 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? - 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
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