Loading....

Press & Hold to Drag Around |
|||

Click Here to Close |

**Question 1**
**Report**

If log x = \(\bar{2}.3675\) and log y = 0.9750, what is the value of x + y? Correct to three significant figures

**Answer Details**

**Question 2**
**Report**

calculate the surface area of a sphere of radius 7cm [Take π = 22/7]

**Answer Details**

The surface area of a sphere can be calculated using the formula: Surface area = 4πr^{2} where r is the radius of the sphere. Substituting r=7cm and π = 22/7, we get: Surface area = 4 x (22/7) x 7^{2} cm^{2} Surface area = 4 x (22/7) x 49 cm^{2} Surface area = 616 cm^{2} Therefore, the surface area of the sphere is 616cm^{2}. So the answer is 616cm^{2}.

**Question 3**
**Report**

The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school.

What is the median of distribution**Answer Details**

To find the median of a distribution, we first need to arrange the values in order from smallest to largest. In this case, the data is already presented in order, so we can simply identify the middle value of the data set. Since there are 5 values, the middle value will be the 3rd value. So, the median of the distribution is N12.00, which is the value in the middle of the data set. Therefore, the answer is (c) N12.00.

**Question 4**
**Report**

Find the 4th term of an A.P, whose first term is 2 and the common difference is 0.5

**Answer Details**

In an arithmetic progression (A.P.), the terms increase or decrease by a constant difference called the common difference. In this problem, the first term is 2, and the common difference is 0.5. Therefore, the second term would be 2 + 0.5 = 2.5, the third term would be 2.5 + 0.5 = 3, and the fourth term would be 3 + 0.5 = 3.5. Therefore, the answer is option (C) 3.5.

**Question 6**
**Report**

Two groups of male students cast their votes on a particular proposal. The result are as follows:

In favor | Against | |

Group A | 128 | 32 |

Group B | 96 | 48 |

If a student in favor of the proposal is selected for a post, what is the probability that he is from group A?

**Answer Details**

**Question 7**
**Report**

In the diagram above PS||RQ, |RQ| = 6.4cm and perpendicular PH = 3.2cm. Find the area of SQR

**Answer Details**

**Question 8**
**Report**

the area shaded with vertical lines is the solution set of the inequalities;

**Answer Details**

**Question 9**
**Report**

The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school. What is the mode?

**Answer Details**

**Question 10**
**Report**

In the diagram above, WXYZ is a rhombus and ?WYX = 20°. What is the value of ?XZY

**Answer Details**

**Question 11**
**Report**

If the radius of the parallel of latitude 30°N is equal to the radius of the parallel of latitude θ°S, what is the value of θ?

**Answer Details**

**Question 13**
**Report**

The annual salary of Mr. Johnson Mohammed for 1989 was N12,000.00. He spent this on agriculture projects, education of his children, food items, saving , maintenance and miscellaneous items as shown in the pie chart

How much money did he invest in agriculture?

**Answer Details**

**Question 14**
**Report**

In the diagram below, O is the center of the circle if ?QOR = 290^{o}, find the size ?QPR

**Answer Details**

**Question 16**
**Report**

In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ?BTO. Find x.

**Answer Details**

**Question 17**
**Report**

From the graph determine the roots of the equation y = 2x^{2} + x - 6

**Answer Details**

**Question 18**
**Report**

A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]

Find the total surface area of the container

**Answer Details**

The total surface area of the cylindrical container is the sum of the areas of its top, bottom, and lateral surface. The top and bottom of the container are both circles, each with an area of πr², where r is the radius of the container. So the total area of the top and bottom is 2πr². The lateral surface of the container is a rectangle that has been rolled into a cylinder. The length of the rectangle is the circumference of the circle, which is 2πr. The height of the rectangle is the height of the container, which is given as 5cm. So the area of the lateral surface is 2πrh. Therefore, the total surface area of the container is: 2πr² + 2πrh Substituting the given values for r and h, we get: 2 × (22/7) × 7² + 2 × (22/7) × 7 × 5 = 2 × (22/7) × 49 + 2 × (22/7) × 35 = (22/7) × 2 × (49 + 35) = (22/7) × 168 = 528 cm² Therefore, the total surface area of the container is 528 cm². So, the correct option is (D) 528cm².

**Question 19**
**Report**

Factorize 2e\(^2\) - 3e + 1

**Answer Details**

To factorize 2e\(^2\) - 3e + 1, we can use the quadratic formula: e = (-b ± √(b² - 4ac)) / 2a where a = 2, b = -3, and c = 1. Plugging in the values, we get: e = (3 ± √(9 - 8)) / 4 e = (3 ± 1) / 4 So the roots are e = 1 and e = 1/2. Therefore, we can factorize 2e\(^2\) - 3e + 1 as: 2e\(^2\) - 3e + 1 = 2(e - 1)(e - 1/2) Simplifying this expression, we get: 2(e - 1)(2e - 1) Therefore, the factorization of 2e\(^2\) - 3e + 1 is (2e-1) (e-1), which corresponds to option (A).

**Question 20**
**Report**

In the diagram above, O is the center of the circle with radius 10cm, and ?ABC = 30°. Calculate, correct to 1 decimal place, the length of arc AC [Take ? = 22/7]

**Answer Details**

**Question 21**
**Report**

Express 0.00562 in standard form

**Answer Details**

To convert a decimal number to standard form, we need to express it in the form of a x 10^{n}, where a is a number between 1 and 10 and n is an integer. Starting with 0.00562, we need to move the decimal point to the right until we obtain a number between 1 and 10. This means moving the decimal point four places to the right: 0.00562 = 5.62 x 10^{-3} Therefore, the answer is option A: 5.62 x 10^{-3}.

**Question 22**
**Report**

Solve the equation 2a\(^2\) - 3a - 27 = 0

**Answer Details**

To solve the equation 2a\(^2\) - 3a - 27 = 0, we can use the quadratic formula which is: a = (-b ± sqrt(b\(^2\) - 4ac)) / 2a In this case, we have a = 2, b = -3, and c = -27. Substituting these values into the formula, we get: a = (-(-3) ± sqrt((-3)\(^2\) - 4(2)(-27))) / 2(2) Simplifying the expression under the square root, we get: a = (-(-3) ± sqrt(225)) / 4 which gives us: a = (3 ± 15) / 4 Therefore, we have two solutions: a = 3 and a = -6/2 = -3/2 Hence, the correct option is -3, 9/2.

**Question 24**
**Report**

Simplify 125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)

**Answer Details**

**Question 25**
**Report**

Use mathematical table to evaluate (cos40° - sin30°)

**Answer Details**

To evaluate (cos40° - sin30°), we first need to find the values of cos40° and sin30°. Using a mathematical table (such as a trigonometric table), we can look up the values of cos40° and sin30°: - cos40° = 0.7660 - sin30° = 0.5000 Now we can substitute these values into the expression: (cos40° - sin30°) = (0.7660 - 0.5000) = 0.2660 Therefore, the answer is option (D) 0.2660.

**Question 26**
**Report**

In the diagram above, |PQ| = |PR| = |RS| and ?RPS = 32°. Find the value of ?QPR

**Answer Details**

**Question 28**
**Report**

An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7]

**Answer Details**

To find the value of θ, we can use the formula: θ = (arc length / radius) In this case, the arc length is given as 22cm, and the radius is given as 15cm. So we have: θ = (22 / 15) θ = 1.47 (approx) However, the answer options are in degrees, so we need to convert radians to degrees. We can use the formula: degrees = (radians × 180) / π Substituting θ = 1.47 and π = 22/7, we get: degrees = (1.47 × 180) / (22/7) degrees = 89.14 (approx) Therefore, the answer is closest to option (B) 84^{o}.

**Question 29**
**Report**