Examples for secondary school students - page 4 of 214
Number of problems found: 4261
- A sample variance
Calculate the value of the sample variance. −8,−8,−3,13,4,−8,10,8 - Two dice 3
Two dice are thrown together. What is the probability that the number obtained on one of the dice is a multiple of the number obtained on the other dice? 2/3 9/36 12/36 11/18 - A barrel
A barrel of sorghum weighs 56kg. The same barrel filled with kerosene weighs 35kg. If sorghum is twice as heavy as kerosene, how much does the empty barrel weigh? - A piece 11
A piece of wood is 220cm long. If 66cm is cut away from the wood, what percentage remains?
- Student examination
How many ways can a teacher select a group of 6 students to sit in the front row if the class has 13 students? - How many 31
How many ways can a teacher select a group of 3 students to sit in the front row if the class has 13 students? - A lighthouse
A lighthouse overlooks a bay, and it is 77 meters high. From the top, the lighthouse keeper can see a yacht southward at an angle of depression of 32 degrees and another boat eastward at an angle of 25 degrees. What is the distance between the boats? - Compare variation
The mean blood pressure was 135 mmHg in a series of adults with a standard deviation of 10 mm Hg. In the same series, the mean height was 170 cm with a standard deviation of 6 cm. Find which character shows a greater variation (write A or B). - Q10 - investigate
A nutritionist who investigates fruits reported that the average weight of a raspberry is 4.4 g with a standard deviation of 1.28 g. What is the probability that a randomly selected raspberry would weigh less than 3.1 grams? Let X represent the weight of
- A group 2
A group of students was asked, "How many hours did you watch television last week? "Here are their responses. 13, 14, 4, 19, 19, 11 Find the median and mean number of hours for these students. If necessary, round your answers to the nearest tenth. (a) Med - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - Three 235
Three houses form a triangular shape. House A is 50 feet from house C and house B is 60 feet from house C. The measure is angle ABC is 80 degrees. Draw a picture and find the distance between A and B. - 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces? - Family survey
A total of 160 families with 4 children each were surveyed with the following results. Boys; 4; 3; 2; 1; 0 Girls ; 0; 1; 2; 3; 4 Families; 7; 50; 55; 32; 16 Let the probability of picking a boy or a girl be 1/2. Let P=boy, Q=girl. What is the probability
- A man 12
A man in his will shared his money geometrically among his six sons, so the eldest son received ; 5,589 and the youngest son received ; 736. (A)How much will the fourth son receive? (B)How much was shared among them - Coordinates - rectangle
Find the perimeter of the rectangle with vertices A(1,4), B (1,0 ), C (4,0), D (4,4 ) - One side 3
One side of a triangular banner is 1 1/2 times longer than the second side and 2cm shorter than the third side. The perimeter of the triangle is 98cm. How long is the shortest side? - Lengths 6
Lengths of 130 tubes are measured. The arithmetic mean is 17.27 cm, and the standard deviation is 1.2 cm. How many tubes do have a length: a) between 16.5 cm and 18.1 cm b) greater than 17 cm - Bulb life
Tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standard deviation of 75 hours. Find the probability that a randomly selected light bulb will last between 675 and 900 hours.
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