PISA ALIGNED QUESTIONS MATH GROUP

Your classmate is answering a challenge problem in Grade 10 Math by finding the next term of the sequence

1, 11, 21, 1112, 3112, 211213, 312213, ______ .

The teacher said that there is no need to compute. Just observe the pattern.

Then he asked you if his answer 212223 is correct.
After some time, you answered "YES, you got it right"

Explain the pattern observed in the sequence in finding the next term.

Answer explanation

The sequence describes the count of digits in the previous term. For example, '1' is read as 'one 1' (11), '11' as 'two 1s' (21), and so on. Following this pattern, '312213' is read as 'one 3, one 1, two 2s, one 3', leading to '212223'.

Your classmate is answering a challenge problem in Grade 10 Math by finding the next term of the sequence

1, 11, 21, 1112, 3112, 211213, 312213, ______ .

He answered 212223 correctly the next term.

Then he asked you to find the 9th term of the sequence.

What is the 9th term of the sequence?

A restaurant advertises two discount options for a family dinner originally priced at ₱2,000.

Option A: 30% off the original price.

Option B: First, 20% off and then an additional 10% off on the reduced price.

Which option gives the better deal?

• Option A

• Option B

• Both A and B

• Neither A nor B

Answer explanation

Option A

30% of ₱2,000 = ₱600

Final bill = ₱2,000 - ₱600 = ₱1,400

Option B

1^st discount: 20% of ₱2,000 = ₱400

New bill: ₱2,000 - ₱400 = ₱1,600

2^nd discount: 10% of ₱1,600 = ₱160

Final bill: ₱1,600 - ₱160 = ₱1,440

Three Restaurant combos were rated by customers on a scale of 1 to 10. The ratings are as follows:

Combo A: 8, 6, 9, 8, 7

Combo B: 6, 5, 8, 7, 10

Combo C: 9, 9, 9, 8, 10

Which combo has the highest average rating?

• A

• B

• C

Three Restaurant combos were rated by customers on a scale of 1 to 10. The ratings are as follows: 

Combo A: 8, 6, 9, 8, 7

Combo B: 6, 5, 8, 7, 10

Combo C: 9, 9, 9, 8, 10

What is the mode of ratings for Combo C?