Mathematics 2007 Objective — Question 1
Find the value of y if 367+245=56y
- A. 4
- B. 5Correct
- C. 6
- D. 7
Explanation
This item's exact equation could not be fully verified from the scan; option B is presented with reduced confidence.
Post-UTME Mathematics 2007 Objective Past Questions
All 10 questions from the Post-UTME Screening (Post-UTME) Mathematics 2007 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.
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Mathematics 2007 Objective — Question 2
2/5 of the students in a class offer further mathematics. If 14 students offer further mathematics, how many students are there in the class?
- A. 30
- B. 35Correct
- C. 40
- D. 45
Explanation
(2/5)x = 14, so x = 35.
Mathematics 2007 Objective — Question 3
A motor way journey takes 3 hours at an average speed of 120km/h. How long will it take if the average speed is reduced to 80km/h?
- A. 4 hours
- B. 4.2 hours
- C. 4.5 hoursCorrect
- D. 5.4 hours
Explanation
Distance = 120 x 3 = 360km. Time at 80km/h = 360/80 = 4.5 hours.
Mathematics 2007 Objective — Question 4
A store keeper decided to give 10% discount on all purchases in his store during the 2007 Christmas season. How much would a customer pay for a television set that originally cost N24,000.00?
- A. N22,600.00
- B. N21,818.00
- C. N21,616.00
- D. N21,600.00Correct
Explanation
Discounted price = 24,000 x 0.90 = N21,600.00.
Mathematics 2007 Objective — Question 5
If x = 924^2 - 76^2. Find the value of x in standard form
- A. 848000
- B. 8.48x10^-3
- C. 8.48x10^5Correct
- D. 4.8x10^5
Explanation
Using difference of squares: (924-76)(924+76) = 848 x 1000 = 848,000 = 8.48x10^5.
Mathematics 2007 Objective — Question 6
A man is five times as old as his son. If the sum of their ages is 72 years, find the difference between their ages
- A. 48 yearsCorrect
- B. 40 years
- C. 38 years
- D. 28 years
Explanation
Let son=s, man=5s. Sum=6s=72, s=12, man=60. Difference = 60-12 = 48 years.
Mathematics 2007 Objective — Question 7
Find the length of a side of a square which is equal in area to a rectangle measuring 45 cm by 5cm
- A. 25cm
- B. 23cm
- C. 16cm
- D. 15cmCorrect
Explanation
Area of rectangle = 45x5=225cm^2. Side of square = sqrt(225) = 15cm.
Mathematics 2007 Objective — Question 8
An arc of a circle of radius 6cm is 8cm long. Find the area of the sector
- A. 48cm^2
- B. 36cm^2
- C. 24cm^2Correct
- D. 51/2cm^2
Explanation
Area of sector = 1/2 x radius x arc length = 0.5 x 6 x 8 = 24cm^2.
Mathematics 2007 Objective — Question 9
If two triangles are similar, which of the following is true? Their
- A. corresponding sides are equal
- B. corresponding angles are equalCorrect
- C. areas are equal
- D. perimeters are equal
Explanation
Similar triangles have equal corresponding angles; their sides are proportional (not necessarily equal).
Mathematics 2007 Objective — Question 10
Each side of a regular convex polygon subtends an angle of 30 degrees at its center. Calculate each interior angle
- A. 75 degrees
- B. 95 degrees
- C. 150 degreesCorrect
- D. 155 degrees
Explanation
Exterior angle = 30 degrees (central angle for a regular polygon equals the exterior angle). Interior angle = 180-30 = 150 degrees.
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