A2 Mathematical Modelling
Madhya Pradesh Board · Class 10 · Mathematics
Practice quiz for A2 Mathematical Modelling — Madhya Pradesh Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.
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Quick Quiz: A2 Mathematical Modelling
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A pair of fair dice is rolled once. What is the probability of getting a sum of 7, and what is the best guess if the aim is to choose the sum with the highest chance?
A bicycle has a cash price of ₹1800. In the instalment scheme, ₹600 is paid cash down and the rest is paid in two monthly instalments of ₹610 each. What is the interest paid in the instalment scheme?
Juhi keeps ₹1200 outstanding for one month and then ₹590 outstanding for the second month. What is the total principal for one month used in the instalment interest calculation?
Using the instalment scheme data for Juhi, interest = ₹(1790 × r × 1)/(100 × 12) and interest paid = ₹20. What is the rate of interest r approximately?
Sample Questions
Juhi has ₹600 and the bicycle costs ₹1800 cash. The bank loan rate is 10% per annum simple interest, while the instalment scheme works out to about 13.14%. Which option is more economical for Juhi?
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Bank loan
The bank charges 10% simple interest, which is lower than the instalment scheme rate of about 13.14%. The lower rate makes the bank loan more economical.
In the fish population estimate, 20 fishes were marked and released. A second sample of 50 had 5 marked fishes. What is the estimated total population?
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200
In the second sample, 5 out of 50 were marked, so the marked fraction is 1/10. If 1/10 of the population is 20, then the whole population is 20 × 10 = 200.
A sample of 20 fishes is marked in a lake. Later, 50 fishes are caught and 5 are found marked. What fraction of the second sample is marked, and what reciprocal is used to estimate the population?
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1/10 and 10
The marked part of the second sample is 5/50 = 1/10. The reciprocal of 1/10 is 10, and that factor is used to estimate the whole population.
A pair of dice is rolled. Which sum has the greatest probability according to the probability table for sums from 2 to 12?
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7
The probability table shows that sum 7 has probability 6/36, which is higher than any other sum. Therefore, 7 is the most likely sum.
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