# Mathematics 2020 Past Questions | JAMB

Study the following Mathematics past questions and answers for JAMB, WAEC NECO and Post-JAMB. Get prepared with official past questions and answers for upcoming examinations.

**31**. The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST

**A.**πr/3**B.**πr/2**C.**πr/12**D.**πr/6

**32. **A sector of circle of radius 7.2cm which subtends an angle of 300^{o}at the centre is used to form a cone. What s the radius of the base of the cone?

**A.**8cm**B.**9cm**C.**6cm**D.**7cm

**33. **A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m?

**A.**25m**B.**23m**C.**22m**D.**20m

**34. **The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?

**A.**180^{o}**B.**36^{o}**C.**60^{o}**D.**108^{o}

**35. **Three consecutive terms of a geometric progression are give as n – 2, n and n + 3. Find the common ratio

**A.**3/2**B.**2/3**C.**1/2**D.**1/4

**36. **In a class of 40 students, 32 offer mathematics, 24 offer physics and 4 offer neither mathematics nor physics. How many offer both mathematics and physics?

**A.**4**B.**8**C.**16**D.**20

**37. **The sum of the interior angle of pentagon is 6x + 6y. Find y in terms of x.

**A.**y = 6 – x**B.**y = 90 – x**C.**y = 120 – x**D.**y = 150 – x

**38. **The mean age group of some students is 15years. When the age of a teacher, 45 years old, is added to the ages of the students, the mean of their ages become 18 years. Find the number of students in the group.

**A.**7**B.**9**C.**15**D.**42

**39. **A surveyor walks 500m up a hill which slopes at an angle of 30o. Calculate the vertical height through which he rises

**A.**252m**B.**500m**C.**250m**D.**255m

**40. **Find the non-zero positive value of x which satisfies the equation

**A.**2**B.**√3**C.**√2**D.**1