Jupeb Mathematics Past Questions. Are you participating in the upcoming JUPEB examination? if yes, then this information is for you. Here we are focusing on the mathematics past question for JUPEB exams. As a candidate preparing to write JUPEB exam, do you know the benefits you derive from getting the Jupeb Mathematics Past Questions and answer? Of course, mathematics is the core subject in every exam and because of this, failures are mostly recorded higher than in every other subject aside from the English Language.

We have brought this past in order to help you pass your exams with ease but not without hard work. All you have to do is get the complete version of this past question,

The exams is divided into two sections. The objectives and theory. The objectives which is section A is made up of 50 multi-choice questions in which the candidate is required to provide correct answers or select the correct options during the exams. While the theory or popularly known as the essay is made up of eight 8 questions to answer one(1) for each of the four sections.

**How is ****Jupeb Mathematics Past Questions Patterned?**

Jupeb’s past questions and answers follow the two usual patterns of questions. There is part A and part B. Part A has to do with objectives commonly termed multi-choice. While the second part is a theory or essay questions.

We have made it very easy for you, we bring the past question of many years together, and compile it into the pdf format which is easily accessed through smartphones and other devices. Pounds to Naira

## Why you need Jupeb Mathematics Past Questions

From the sample past questions are given below, you will agree with us that you need this past question for several reasons

The past question will expose you to the prospective questions for the exams, this means that the questions that will come up in your exams subsequently revolve around it.

**Sample of Jupeb Mathematics Past Questions**

We have decided to include past question samples in this writeup to help you go through the available questions and decide on downloading the complete question. See samples below;

The four areas of mathematics captured in the exams include advanced pure mathematics, calculus, applied mathematics, and statistics.

JOINT UNIVERSITIES PRELIMINARY EXAMINATIONS BOARD

2015 EXAMINATIONS

MATHEMATICS: SCI–J154

MULTIPLE CHOICE QUESTIONS

4. Find the centre and radius of the circle 8x 2 +8y 2 –24x–40y+18=0.

A. (3/2, 5/2) and r = 3/2

B. (–3/2, 5/2) and r = 5/2

C. (3/2, –5/2) and r = 3/2

D. (3/2, 5/2) and r = 5/2

5. Find the equation of the tangent to the circle 3022 22 =+ yx at the point )6,3(− .

A. x + y – 15=0

B. x – 2y + 5=0

C. x + 2y – 5=0

D. x – 2y+15=0

6. Given the equations of the ellipse x 2 /2+y 2 =1. Find the equation of the directrices.

A. 𝑥 = (0, ±1)

B. 𝑥 = (0, ±2)

C. 𝑥 = (0, ±3)

D. 𝑥 = (0,±4)

7. Find the gradient of the curve 𝑦 = 𝑥 # − 6𝑥 ‘ + 11𝑥 − 6 at the point (1, 0)

A. –1

B. –2

C. 1

D. 2

8. Given sets 𝐴 = 𝑎, 𝑏, 1, 3 and 𝐵 = 𝑎, 2, 4 , find 𝐴 ∪ 𝐵.

A. ∅

B. 𝑎, 𝑏, 1,2,3,4

C. 𝑎, 𝑏, 1,3

D. 𝑏, 1,2,3,4

9. Let P be the set of prime factors of 42 and Q be the set of prime factors of 45. Find 𝑃 ∩ 𝑄.

A. 2

B. 3

C. 7

D. 5

MATHEMATICS

ESSAY QUESTIONS

1 (a). Given A = {–5, –3, –1, 0, 1, 2, 3} , B = {–4, –3, 0, 3, 5, 8}. MAT001

Find A Δ B. 2 Marks

(b) If A, B, and C are any sets, show that A ∪ (B ∪ C) = (A ∪ B) ∪ C 3 Marks

(c ) In an election involving three parties for the chairmanship and gubernatorial election of Lagos State, voters cast their votes as follows: 190 voted for party A, 200 for party B and 250 for party C. 80 voted for A and B,

60 voted for A and C, 100 voted for B and C and 40 voted for B alone.

If 500 people voted during the election, find:

i. The number of voters who voted for all the three parties. 3 Marks

ii. The number of voters who voted for A and B but not C. 3 Marks

iii. The number of voters who did not vote for any party. 4 Marks

2 (a) i. Evaluate the determinant A. MAT 001

A=

1 2 3

4 5 6

7 8 9 3 Marks

ii. what do you conclude from 2a(i)? 1 Mark

iii. Resolve J L )$

J%# J%$ S in partial fractions. Hence, obtain its Binomial

expansion up to terms 𝑥 ‘ . 4 Marks

(b) If cos 𝑥 + 𝛼 = sin(𝑥 + 𝛽), find tan 𝑥 in terms of 𝛼 𝑎𝑛𝑑 𝛽. 3 Marks

(c) If sin 𝐴 = h

– and cos 𝐵 = $’

$# , where 𝐴 is obtuse and B is acute, find without

using tables the values of: i. sin(𝐴 + 𝐵) ii. tan(𝐴 − 𝐵). 4 Marks Jamb Result