Examples for secondary school students
I enjoyed high school math the most. It was faster paced, more complex, and overall more in-depth. It wasn't just mechanical multiplication tables like in elementary school. They even took derivatives and integrals.Number of problems found: 4621
- Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added? - Three angles
Find all missing angle values using the Law of Cosines, given all three sides: a = 12, b = 13, and c = 20 - Simple interest pa
If a sum of money doubles in 8 years at simple interest, in how many years will it become 3 times the original amount? - Reading newspaper
40% of people read newspaper X, 50% read newspaper Y, and 10% read both newspapers. What percentage of people read neither newspaper? - Two terms and d
The 8th term of an arithmetic progression is 17 and its 14th term is 29. Find the common difference. - Common work 2
Person A works twice as fast as person B. If both of them together can finish a piece of work in 12 days, how many days would person B alone take to do it? - Three legs journey
A train runs for 3 hours at 40 km/h and then for 4.5 hours at 60 km/h, covering 3/5 of the total distance. It needs to cover the remaining distance in 4 hours. Find the average speed required for the remaining distance. - ABCD rhombus
ABCD is a rhombus with sides of 10.5 cm. If the length of diagonal AC = 15.8 cm, use the cosine rule to: a. calculate the length of diagonal BD to the nearest centimetre, b. find the angles of the rhombus to the nearest degree. - Spherical sector - parameters
Find the volume and surface area of a spherical sector whose base has a height of 8 cm, drawn on a sphere with a diameter of 36 cm. - Insert two > GP
If 4, 36, 324 are in a geometric progression, insert two more numbers into this progression so that it still forms a geometric progression. - According 10
According to the Board of Math Examiners, approximately 62% of people taking the Math Exam pass the exam. If 18 people who have taken the Math Exam are randomly selected, what is the probability that at least 76% have passed? Round your answer to 4 decima - Common difference 4 The 28th term of an arithmetic progression is −5. Find its common difference if the first term is 31.
- Vertical components
Find the horizontal and vertical components of the vector which has a magnitude of 750 as shown in the figure. - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After moving 10 m closer to the pole, the angle of elevation becomes 30°. What is the height of the pole? - V jedálni
In the school canteen of an elementary school, a survey was conducted among pupils about their favourite food. The results are shown in the following table: Pancakes; 102 Fried cheese; 81 Spaghetti; 18 Sweet dumplings; 42 Chicken with rice; 30 Determine: - Journey 9
A person covers half of his journey at 40 km/h and the remaining half at 20 km/h. Find his average speed for the whole journey. - Lamp shade
A lampshade is in the form of a frustum of a cone with a slant height of 7 inches and base radii of 3 inches and 7 inches respectively. How much material is used in its construction if 1/4 inch is allowed for the seam? - Area + perimeter TR2
Find the area of a triangle, two sides of which are 8 cm and 11 cm and whose perimeter is 32 cm. - GP - negative term
The first term of a geometric progression is −3 and the square of the second term equals its 4th term. Find the 7th term of the progression. - Mother and daughter 6
A mother is six times as old as her daughter. In 6 years' time, she will be four times as old as her daughter. How old is each of them?
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