Choose ONE of the options lettered A - D. Write the letter ONLY.

Here are the solutions to the questions: 1. Write 0.000283 in standard form. Step 1: Move the decimal point to the right until it is after the first non-zero digit. 0.000283 2.83 Step 2: Count the number of places the decimal point moved. Since it moved 4 places to the right, the exponent of 10 is -4. 0.000283 = 2.83 × 10^-4 The correct option is A. A. 2.83 × 10^-4 2. What is the next term in the sequence of 2, 5, 11, 23, 47,...? Step 1: Find the difference between consecutive terms. 5 - 2 = 3 11 - 5 = 6 23 - 11 = 12 47 - 23 = 24 Step 2: Observe the pattern in the differences. The differences are 3, 6, 12, 24, which is a geometric progression where each term is multiplied by 2. The next difference will be 24 × 2 = 48. Step 3: Add the next difference to the last term in the sequence. 47 + 48 = 95 The correct option is D. D. 95 3. Arrange the numbers -4, 0, -6 in descending order. Step 1: Descending order means arranging numbers from the largest to the smallest. Step 2: Compare the given numbers: 0 is the largest, followed by -4, and then -6 is the smallest. 0 > -4 > -6 The correct order is 0, -4, -6. The correct option is D. D. 0, -4, -6 4. Find x, if 0.025 = (1)/(x). Step 1: To solve for x, take the reciprocal of both sides of the equation. x = (1)/(0.025) Step 2: Convert the decimal to a fraction or perform the division. x = (1)/(25)1000 = (1000)/(25) Step 3: Simplify the fraction. x = 40 The correct option is D. D. 40 5. If the exterior angles of a quadrilateral are 2x^, (x+15)^, (2x+5)^ and (2x-10)^, find the value of x. Step 1: The sum of the exterior angles of any convex polygon is 360^. Set up the equation. 2x + (x+15) + (2x+5) + (2x-10) = 360 Step 2: Combine like terms. (2x+x+2x+2x) + (15+5-10) = 360 7x + 10 = 360 Step 3: Isolate the term with x. 7x = 360 - 10 7x = 350 Step 4: Solve for x. x = (350)/(7) x = 50 The correct option is C. C. 50^ 6. What is the value of 2p+3q, where p=4 and q=5? Step 1: Substitute the given values of p and q into the expression. 2(4) + 3(5) Step 2: Perform the multiplications. 8 + 15 Step 3: Perform the addition. 23 The correct option is C. C. 23 7. Evaluate 141^2 - 139^2. Step 1: Use the difference of squares formula, a^2 - b^2 = (a-b)(a+b). Here, a=141 and b=139. (141 - 139)(141 + 139) Step 2: Perform the operations inside the parentheses. (2)(280) Step 3: Perform the multiplication. 560 The correct option is D. D. 560 8. What is the shape of the face of a cylinder? Step 1: A cylinder has two flat bases and a curved lateral surface. Step 2: The flat bases of a cylinder are circular. The correct option is A. A. Circle 9. Find the mean of the following sets of number 3, 6, 6, 7, 5, 3. Step 1: The mean is the sum of all numbers divided by the count of the numbers. Count of numbers = 6. Step 2: Sum the numbers. Sum = 3 + 6 + 6 + 7 + 5 + 3 = 30 Step 3: Calculate the mean. Mean = SumCount = (30)/(6) = 5 The correct option is D. D. 5 10. A father shared the sum of N500.00 among his three children Ayo, Dele and Segun in the ratio of 5:3:2. What is Dele's share? Step 1: Find the total number of ratio parts. Total parts = 5 + 3 + 2 = 10 Step 2: Determine Dele's share as a fraction of the total. Dele's ratio is 3. Dele's fraction = (3)/(10) Step 3: Calculate Dele's share by multiplying the fraction by the total sum. Dele's share = (3)/(10) × N500.00 = N150.00 The correct option is C. C. N150.00 11. Solve the equation (3-y)/(3) = 2. Step 1: Multiply both sides of the equation by 3. 3-y = 2 × 3 3-y = 6 Step 2: Subtract 3 from both sides. -y = 6 - 3 -y = 3 Step 3: Multiply both sides by -1 to solve for y. y = -3 The correct option is A. A. -3 12. If 4 is added to 3 times a certain number, the result is 31. Find the number. Step 1: Let the certain number be n. Translate the problem into an algebraic equation. "3 times a certain number" is 3n. "4 is added to 3 times a certain number" is 3n + 4. "the result is 31" means 3n + 4 = 31. Step 2: Subtract 4 from both sides of the equation. 3n = 31 - 4 3n = 27 Step 3: Divide by 3 to solve for n. n = (27)/(3) n = 9 The correct option is A. A. 9 13. A shirt that was originally sold for N1,200.00 is now being sold for N1,300.00. What is the percentage increase in its price? Step 1: Calculate the increase in price. Increase = N1,300.00 - N1,200.00 = N100.00 Step 2: Calculate the percentage increase using the formula: IncreaseOriginal Price × 100\%. Percentage Increase = (N100.00)/(N1,200.00) × 100\% Step 3: Simplify the expression. Percentage Increase = (1)/(12) × 100\% ≈ 8.33\% The closest option is 8%. The correct option is C. C. 8\% 14. What is the coefficient of x in the expression (x-2)(x+9)? Step 1: Expand the expression by multiplying the two binomials. (x-2)(x+9) = x(x+9) - 2(x+9) = x^2 + 9x - 2x - 18 Step 2: Combine the like terms involving x. = x^2 + (9-2)x - 18 = x^2 + 7x - 18 Step 3: Identify the coefficient of x. The coefficient of x is 7. The correct option is D. D. 7 15. What is the multiplication inverse of (1)/(2a)? Step 1: The multiplicative inverse (or reciprocal) of a number is 1 divided by that number. Multiplicative inverse of (1)/(2a) = (1)/(1)2a Step 2: Simplify the complex fraction. = 1 × (2a)/(1) = 2a The correct option is D. D. 2a 16. If x varies directly as y^2 and x=4 when y=2, find the relationship between x and y. Step 1: Write the direct variation relationship. "x varies directly as y^2" means x = ky^2, where k is the constant of proportionality. Step 2: Use the given values (x=4 when y=2) to find the constant k. 4 = k(2^2) 4 = k(4) Step 3: Solve for k. k = (4)/(4) k = 1 Step 4: Substitute the value of k back into the direct variation equation to find the relationship between x and y. x = 1 · y^2 x = y^2 The correct option is C. C. x = y^2 Send me the next one 📸