Examples for secondary school students - page 25 of 213
Number of problems found: 4256
- A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and seven are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors - The radius
A right circular cone's radius and slant heights are 9 cm and 15 cm, respectively. Find, correct to one decimal place, the (i) Height (ii) Volume of the cone - The lengths
The lengths of the twelve poles form an Arithmetic Progression (A. P). If the third pole is 3m and the eighth pole is 5 m, find the (i) Length of the first pole (ii) Sum of the length of the poles - The cost 5
The cost of three chairs and four tables is 320.00. If two chairs and five of the same kind cost 330.00, find the cost of (i) 4 chairs (ii) 3 tables
- Electric charge
The electric current in a microprocessor circuit is 0.230 μA. How many coulombs pass a given point in the circuit in 1.50 ms? - The scores
The scores of 10 learners in a test arranged in ascending order is 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23 and 24. If the median mark is 20, find (a) value of a. (b) mean - SAS calculation
Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle A is 47°, find side a. Please round to one decimal. - The terms
The terms 1/64, 1/32, and 1/16 form a geometric progression (GP). If the sum of the GP is (2³6 – 2^-6), find the number of terms. - Regular polygons
Two regular polygons, x and y, are such that the number of sides of x is three more than the number of the sides of y. If the sum of the exterior angles of x and y is 117°, how many sides have x?
- Four digit codes
Given the digits 0-7. If repetition is not allowed, how many four-digit codes that are greater than 2000 and divisible by 4 are possible? - Parabola with abs
A). Sketch the graph of the function f(x)=x * absolute(x) = x * |x| b). For what values of x is f(x) differentiable c). Find F(x) - Carrots and potatoes
Juri is doing his weekly grocery shop and buying carrots and potatoes. He calculates that the average weight of a carrot is 60 g and the average weight of a potato is 125 g. Furthermore, he calculates that the average weight of the carrots and potatoes he - Estimate linear fx
Which of the following is the best estimate for the temperature at 11 PM if the temperature continues to drop at the same rate? time; temperature °C 3 PM; 32 6 PM; 30 12 PM; 20 - Intersection 74914
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis.
- Solve 12
Solve the following quadratic equation: 3/2-(2x-1)²=5/4 - Mr. Erel
Mr. Erel earns 12% compounded quarterly. He projected to collect Ᵽ500,000 after ten years. What is the amount he needs to invest? - 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
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