Year : 
2003
Title : 
Mathematics
Exam : 
NECO - BECE

Paper 1 | Objectives

1 - 2 of 2 Questions

# Question Ans
1.

The ratio of the circumference to the diameter of a circle is approximately of a circle is approximately equal to

A. 2.5

B. 3.14

C. 4.83

D. 6.52

E. 7

Detailed Solution

To calculate the circumference of a circle, use the formula C = πd, where "C" is the circumference, "d" is the diameter, and π is 3.14
2.

Two similar cylindrical cans have heights of 7cm and 21cm, if the smaller holds 250g of sugar, how many kg of sugar will the larger one hold?

A. 0.75

B. 1.5

C. 2.25

D. 3.5

E. 6.75

Detailed Solution

- If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.
Given: Heights of cylinder --> 21 : 7 or 3 : 1 = \(\frac{3}{1}\)
= 3 times height enlargement
Volume / Capacity of larger cylinder = 3\(^3\) \(\times\) 250g
= 27 \(\times\) 250g = 6,750 or 6.75kg

1.

The ratio of the circumference to the diameter of a circle is approximately of a circle is approximately equal to

A. 2.5

B. 3.14

C. 4.83

D. 6.52

E. 7

Detailed Solution

To calculate the circumference of a circle, use the formula C = πd, where "C" is the circumference, "d" is the diameter, and π is 3.14
2.

Two similar cylindrical cans have heights of 7cm and 21cm, if the smaller holds 250g of sugar, how many kg of sugar will the larger one hold?

A. 0.75

B. 1.5

C. 2.25

D. 3.5

E. 6.75

Detailed Solution

- If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.
Given: Heights of cylinder --> 21 : 7 or 3 : 1 = \(\frac{3}{1}\)
= 3 times height enlargement
Volume / Capacity of larger cylinder = 3\(^3\) \(\times\) 250g
= 27 \(\times\) 250g = 6,750 or 6.75kg