Regional Achievement Measure (RAM) - Mathematics

A fruit vendor stacked 91 apples in the table with 36 apples in the first layer and 1 apple on the topmost layer. If there were 6 layers, which of the following represents the number of apples in each layer?

• 36, 25, 16, 9, 4, 1

• 36, 26, 20, 16, 6, 1

• 36, 30, 24, 18, 12, 1

• 36, 28, 20, 12, 4, 1

The following are sequences with 7 as the first term and 31 as the last term. Which of the following form an arithmetic sequence?

• 7, 14, 21, 26, 31

• 7, 10, 14, 19, 25, 31

• 7, 13, 19, 25, 31

• 7, 12, 17, 21, 26, 31

In the sequence 50, 45, 40, 35, ..., which term is 5?

A. C. B. D.

• 9th term

• 10th term

• 11th term

• 12th term

The sum of positive odd integers less than 10 is 25. What is the sum of the positive odd integers less than 80?

• 1,600

• 1,620

• 1,640

• 1,650

Which of the following statements explains the difference between arithmetic sequence and geometric sequence?

• Both sequences have the same common ratio.

• Both sequences have the same common difference

• An arithmetic sequence has a constant ratio between each consecutive terms while geometric sequence has a common difference between each consecutive terms.

• An arithmetic sequence has a constant difference between each consecutive terms while geometric sequence has a common ratio between each consecutive terms

In a geometric sequence, the second term is 3 and the fifth term is 81. What is the third term?

• 1/3

• 1/81

• 9

• 81

Which of the following is the factored form of P(x) = 3x³ + 2x² - 37x + 12?

• (x + 3) (x + 4) (x - 2)

• (x + 3) (x – 1) (x + 2)

• (x - 3) (x + 4) (3x – 1)

• (x - 3) (x – 4) (3x – 1)

A rectangular garden has a length of (x + 7) units and a width (2x + 3) units. What is the area of the rectangular garden?

• 3x + 10

• 6x + 20

• 2x² + 17x + 21

• 2x² + 10x + 21

A fruit vendor determines that its profit P, in pesos can be modelled by the function P(t)=5x³-2x²+8x+100, where x represents the number of crates of fruits sold. How much profit does he gain if he sold 10 crates?

• P4 980

• P5 980

• P8 904

• P9 804

A demographer predicts that the population P of the town t years from now can be modeled by the function P(t)=4t⁴-3t³+150t+11,500. What will be the population of the town two years from now?

• 11,840

• 118,400

• 1,184,000

• 11,840,000