Examples for secondary school students - page 26 of 214
Number of problems found: 4261
- Intersection of Q2 with line
The equation of a curve C is y=2x² - 8x +9, and the equation of a line L is x + y=3. (1) Find the x-coordinates of the points of intersection of L and C. (ii) show that one of these points is also the - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - Calculate 74794
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman math - Box of donuts
Elizabeth brought a box of donuts to share. There are two dozen (24) donuts in the box, all identical in size, shape, and color. Six are jelly-filled, ten are lemon-filled, and eight are custard-filled. You randomly select one donut, eat it, and s
- ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - In an
In an ABCD square, n interior points are chosen on each side. Find the number of all triangles whose vertices X, Y, and Z lie at these points and on different sides of the square. - Z-score test
The fish weights in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If four fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a decim - A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - A rectangle 12
A rectangle has a width of 7.2 cm shorter than its length. The perimeter of this rectangle is 22.8 cm. Write the width-to-length ratio of this rectangle in the simplest form and show how you solve the problem.
- Summaries
A specialist teacher observes the time taken by each of the students with learning disabilities to complete a psychological task. She summaries the times using the following: Time Taken(mins) ; 1-5; 6-10; 11-12; 16-20 No. of Student ; 2 ; 4 ; 12; 4 Using - Karim
Karim uses a photocopier to enlarge the triangle PQR diagram by 150%. a) Write the ratio of the length of P' Q' to the length of PQ. b) Is the ratio of the length P 'R' to the length PR equal to the ratio of the length P 'Q' to the length PQ? c) Use your - The slope
Find the slope of the line that passes through the following two points: (-3, 16) and (-5, 30) Give your answer as a number, rounded to the nearest tenth, if necessary. - Pre-stocking 74604
They delivered potatoes, cabbage, and carrots to the vegetable shop for winter pre-stocking. 2/7 of the total amount is carrots, 1/3 is cabbage, and the rest is potatoes. Carrots are 10 kg less than cabbage. How many kilograms of potatoes do they have in - 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 selecting a blue marble from each box. - A ship
A ship has been spotted by two lighthouses, A and B, as shown in the figure. What is the distance from the ship to Lighthouse A to the nearest tenth? Figure - the distance between lighthouses A and B is 40 nautical miles. From A is seen in view angle 57° - 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, and 10? - Radioactive 74344
A type of radioactive element has a mass of 1.125 grams. Upon analysis, he is found to be 405 years old. If this radioactive element decays by half every 45 years, find how many grams of this radioactive element there were 405 years ago. - 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 day before. What is the total number of shoppers that visited the mall in the first seven days? Round yo
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