BECE Math

Question 1

Which of the following represents a finite set?

Accepted Answer

{3,6,9,12}

Answer

A finite set is a set that has a countable number of elements, meaning its elements can be listed and the list will eventually end. The set {3, 6, 9, 12} contains exactly four elements, making it a finite set. Options A, C, and D all use '...' to indicate that the sequence of elements continues indefinitely, representing infinite sets.

Question 2

Which one of the following is not a prime number?

Accepted Answer

9

Answer

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Looking at the options, 5, 3, and 7 are all prime numbers as they are only divisible by 1 and themselves. However, 9 is not a prime number because it is divisible by 1, 3, and 9, meaning it has a divisor other than 1 and itself.

Question 3

An instrument retailer offers all students a 10% discount off the original price of an instrument. During a back-to-school sale, an additional 15% is deducted from the reduced price. Sophia, a local high school student, buys a flute for $306. How much did it cost originally?

Accepted Answer

400

Answer

Let the original price of the flute be P. After a 10% discount, the price becomes P * (1 - 0.10) = 0.90P. An additional 15% discount is then applied to this reduced price, making the final price 0.90P * (1 - 0.15) = 0.90P * 0.85 = 0.765P. Since Sophia paid $306, we have 0.765P = 306. Solving for P, we get P = 306 / 0.765 = $400. Therefore, the flute originally cost $400.

Question 4

Which of the following numbers is not equivalent to 34(58+9).

Accepted Answer

58(34+9)

Answer

The original expression 34(58+9) simplifies to 34 * 67 = 2278. We need to find the option that does not equal this value. Option A, 58(34+9), simplifies to 58 * 43 = 2494, which is not equal to 2278. Options B, C, and D all correctly represent or simplify to 2278, either through direct calculation or by applying the distributive property.

Question 5

How many 3 inch cubed pieces of fudge can fit into a Christmas tin that is 9 inches deep, 12 inches wide, and 9 inches high while still allowing the top to close?

Accepted Answer

36

Answer

To find how many fudge pieces fit, we can calculate how many fit along each dimension. The tin is 9 inches deep, 12 inches wide, and 9 inches high, and each fudge cube is 3 inches on a side. So, 9/3 = 3 pieces fit along the depth, 12/3 = 4 pieces fit along the width, and 9/3 = 3 pieces fit along the height. Multiplying these values gives the total number of pieces: 3 * 4 * 3 = 36 pieces.

(BECE) Basic Education Certificate Examination Practice Test

(BECE) Basic Education Certificate Examination Practice Test

BECE Math