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Questions and Answers
What is the value of y when $x = 12$ in the equation $y = x + 26$?
What is the value of y when $x = 12$ in the equation $y = x + 26$?
If $b = 20$ cm and $h = 45$ cm, then the area of the triangle is 450 cm².
If $b = 20$ cm and $h = 45$ cm, then the area of the triangle is 450 cm².
True
What is the formula for the average A of four numbers m, n, p, and q?
What is the formula for the average A of four numbers m, n, p, and q?
A = \frac{m+n+p+q}{4}
The formula for the product P of three numbers x, y, and z is P = ______.
The formula for the product P of three numbers x, y, and z is P = ______.
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Match the following formulas with their description:
Match the following formulas with their description:
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Study Notes
Exercise 5B
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Basic Level
- If y = x + 26, find y when x = 12. y = 38
- If a = (y² - xz)/5, find a when x = 2, y = -1, and z = -3. a = 1
- If S = 4πr², find S when r = 10½. S = 1386
- Find the positive value of r when S = 616. r = 14
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Intermediate Level
- If k = p + 2q, find p when k = 7 and q = 9. p = -11
- If U = πr(r+h), find r when U = 16 and h=2. (π is ~22/7) r = 2
- If v² = u² + 2gs, find s when v = 25, u = 12 and g = 10. s = 2.5.
- If (1/a) - (1/b) = (1/c) and a = 3, b = 4, and d = -5, find c. c = -12
- If (1/c) = (1/a) + (1/b) + (1/d), find c when a = 1/1, b = 1/2 and d=1/4. c=1/5
Triangle Area
- The area of a triangle is calculated using the formula: A = ½bh where b is the base length and h is the height respectively.
- If the base is 20 cm and the height is 45 cm, calculate A? A = 450 cm²
- If the area is 30 cm² and the base is 10 cm, find the height? h = 6 cm
Other Formulas
- Product P of three numbers x, y and z = xyz
- Sum S of the square of p and the cube of q = p² + q³
- Average A of four numbers m, n, p and q = (m+n+p+q)/4
- Time T, in minutes, for a train journey of a hours b minutes = 60a +b
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Description
Test your skills with this quiz on basic and intermediate level mathematical equations, including finding values for variables and calculating the area of triangles. Solve problems involving algebraic formulas and geometry to reinforce your understanding of these concepts.
