
PISA ALIGNED QUESTIONS MATH GROUP
Authored by DARWIN GONZALES
Mathematics
Professional Development
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5 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
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.
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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'.
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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?
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
1st discount: 20% of ₱2,000 = ₱400
New bill: ₱2,000 - ₱400 = ₱1,600
2nd discount: 10% of ₱1,600 = ₱160
Final bill: ₱1,600 - ₱160 = ₱1,440
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
5.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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?
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