Examples for secondary school students
Number of problems found: 3407
- North + west
Find the magnitude of the resultant of the given vectors: vector 1: 2 m/s, north vector 2: 7 m/s, west
- Three 192
Three separate containers each have one purple marble and two blue marbles. One marble is chosen from each box. Find the probability of choosing a blue marble from each box.
- A ship
A ship has been spotted by two lighthouses A, B as shown in the figure. What is the distance from the ship to Lighthouse A, to the nearest tenth? Figure - distance between lighthouses A and B is 40 nautical miles. From A is seen in view angle 57° and from
- What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5,6,10
- Shopping mall
A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10 percent more than the number of shoppers the day before. What is the total number of shoppers that visited the mall in the fir
- Inspect 5
Inspect the sequence and complete the following statement: seq: 1, 4, 9, 16, 25, 36, 49 The first two numbers differ by a. The second and third numbers differ by b. The third and fourth numbers differ by c. The difference between any two successive number
- A Ferris wheel
A Ferris whee with a diameter of 100 feet makes 5 revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3PM sharp. a) wrote an equation to express the height in feet of your friend at any given time in secon
- Impulse, force and momentum
A 50 kg mass is sitting on a frictionless surface. An unknown constant force pushes the mass for 2 seconds until the mass reaches a velocity of 3 m/s. What is the value of the unknown force? b) through your solutions prove that Impulse and momentum will h
- The change
The change in momentum of an unknown object was 56N.s. What was the force applied when it moved a distance of 2m in 10 seconds?
- The following
The following data represents the number of cases of coffee or filters sold by four sales reps in a recent sales competition. Sales Person; Gourmet; Single Cup; Filters; Total Connor; 142; 325; 30; 497 Paige ; 42; 125; 40; 207 Bryce ; 9; 100;
- Bisector 2
ABC is an isosceles triangle. While AB=AC, AX is the bisector of the angle ∢BAC meeting side BC at X. Prove that X is the midpoint of BC.
- Three trucks
There are places A and Y, three trucks, B, C, and D, respectively. Truck B is 60 km/h, C is 40 km/h and D is 80 km/h. Trucks B and C start at place A while D starts at Y. After D and B meet, two hours later, will D meet C. What is the distance between pla
- Numbers 74084
I think two numbers. The first is smaller by 30 than the second. The sum of these numbers is 60. What two numbers do I think?
- Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base.
Melanie invests a total of $21,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 10% loss in the same time period. At the end of one year, the total amount of money gained was $225
- Three flocks
There are flocks of birds passes by and one bird on a tree ask them, how many all of you? And they response, we are so plenty, the second flocks of birds again passes by and ask by the bird on a tree, how many all of you, and response we are one half (1/2
- Seven segments display
Electronic devices sometime make use of the type of digits below, where each digit uses a number of short stripes, for examples seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes?
- Busi has
Busi has a bag containing twenty balls. There are twice as many yellow balls than blue balls, but the yellow balls are only a third of the red balls. The green balls are the same number as the blue balls. How many are each of the colour ball?
- Cryptogram 73784
Solve the cryptogram (equation with letters, where the letter is one digit) Fot Bal ---- Cvik
It is estimated that 10% of all federal prisoners have a positive self-image, 40% have a neutral self-image, and the rest have a negative self-image. The estimated probability of rehabilitating a prisoner with a negative self-image is 0.1. With a neutral