Maths practice for 14 year olds - page 75 of 371

Number of problems found: 7413

Big tree
You are standing 20 feet away from a tree, and you measure the elevation angle to be 38°. How tall is the tree?
Erica’s
Erica's bank account increased from $1,200.00 to $1,500.00. By what percent did the amount of money in her bank account increase?
Choose
Choose the three equivalent forms of 6.375. A. six and three-eighths, 6.375%, fifty-one eighths B. six and three seventy-fifths, 6.375%, thirty-seven sixths C. six and three seventy-fifths, 637.5%, thirty-seven sixths D. six and three-eighths, 637.5%, fif
RT a-b-x
There is a right triangle with legs long a, b, and hypotenuse long x. Given that a = 6 cm and b = 9 cm, work out x. Give your answer as an exact surd.
Garden tree
Anna is drawing a picture of her garden. A tree is 9 meters high, and she draws it as 13.5 cm tall in her drawing. If a flowering plant is 40 cm high in reality, how will Anna have to draw it to keep the proportion correct?
Garrett
Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a distance of 5 units from the x-axis and three units from the y-axis. Jeffrey places a treasure at point J at coordinates (5,3), and Garrett places one a
Electricity 77094
The smaller bakery had a long-term contract and purchased one MWh of gas for 36 euros in 2021. After the contract expired, it had to switch to the current spot price and pay up to 196 euros for one MWh. By what percentage did the price of electricity for
Ordered pairs
Given: Set T = {(1,2), (2,3), (3,4), (4,5), (5,5), (6,7), (6,6), (7,8), (8,9), (9,9), (9, 10), (11,12), (12,13), (13,14), (15,16), (16,16), (17,18), (18,19), (20,21)} Find the probability of having an ordered pair wherein the second element is greater tha
Add number
Suppose the same number is added to the one near raider and denominator of math fractions seven and nine. The result is .9. What is the number?
A teacher 2
A teacher checked two sets of test papers. The first set took 3 3/4 hours. The second took 1 1/2 hours, and the third took 2 3/5 hours. How much faster did the teacher check the third set than the first and second?
One angle
One angle is 10 degrees more than four times the measure of the other angle. Together they have a sum of 120 degrees. What is the measure of each angle?
The salary 2
The salary for a group of executives was listed as follows: 18 at P50,000:10 at P60,000; 8 at P75,000:2 at P90,000; and two at P10,000. The average salary is:
A vendor 3
A vendor borrowed PHP 150,000 from their cooperative. The rate of interest was 11.5% a year. How much interest does he pay to the bank at the end of one year?
After 6
After buying half a dozen eggs, three cans of sardines, and a pack of milk, Enya received a change of P0.50 from her P200. The pack of milk costs P105, and a can of sardines costs P16.50. How much is the price of an egg?
Tanya
Tanya bought three adult tickets and one children's ticket to a movie for $22.10. Li bought five adult tickets and four children's tickets for $43.60. Find the cost of one adult ticket and the cost of one children's ticket.
Markup 2
A store manager paid $74 for an item and set the selling price at $102.86. What was the percent markup?
Din has
Din has 15 3/4 kg of nuts. Suppose you sell the nuts for P40.00 for every 1/4 kg. How much is the total cost of the nuts?
Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there?
Score on tests
On the first six tests in his Mathematics subject, his scores were 92, 82, 86, 93, 96, and 91. If he took the seventh test and raised the mean of his scores by exactly one point, what is his score on the 7th test?
Henry
Henry has scored 72, 67, 82, and 79 on his Algebra tests. Use an inequality to find the scores he must take on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two tests.

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