# Mathematical Logic Trivia

Reviewed by Janaisa Harris
Janaisa Harris, BA (Mathematics) |
Mathematics
Review Board Member
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
, BA (Mathematics)
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Quizzes Created: 1 | Total Attempts: 38,679
Questions: 10 | Viewed: 38,832

1.

### How many red marbles are there in a bowl containing 60 marbles, if one-third of the marbles are yellow and one-fourth of the marbles are blue?

Explanation:
In the bowl, there are 60 marbles in total. One-third of these marbles are yellow, which equals 20 marbles (60 divided by 3). One-fourth of the marbles are blue, which equals 15 marbles (60 divided by 4). To find out how many red marbles there are, subtract the number of yellow and blue marbles from the total. So, 60 - 20 (yellow) - 15 (blue) = 25 red marbles.
2.

### What is the next number in the sequence: 4, 16; 5, 25; 6, 36; 7, 49; 8, ____?

Explanation:
In this sequence, each second number is the square of the first number. For example, 4 squared (4 x 4) equals 16, 5 squared (5 x 5) equals 25, and so on. Following this pattern, the second number when the first number is 8 should be 8 squared (8 x 8), which equals 64. Thus, the next number in the sequence is 64.
3.

### What is the product of 26 and 8?

Explanation:
To find the product of 26 and 8, you multiply the two numbers. Multiplying 26 by 8, the calculation goes as follows: 26 times 8 equals 208. This operation combines the two numbers into a single, larger number, showing the basic principle of multiplication used in arithmetic to combine and increase values efficiently.
4.

### How many total legs are there if there are 4 dogs, 2 elephants, 15 cats, and 26 people?

Explanation:
To find the total number of legs:
Dogs: 4 dogs x 4 legs each = 16 legs
Elephants: 2 elephants x 4 legs each = 8 legs
Cats: 15 cats x 4 legs each = 60 legs
People: 26 people x 2 legs each = 52 legs
Total legs: 16 + 8 + 60 + 52 = 136
There are a total of 136 legs.
5.

### John works 4 days per week and drives 10 miles round trip each day. If gas costs \$2.50 per gallon and his car gets 20 miles per gallon, how much will he have spent on gasoline over 2 weeks?

Explanation:
To calculate John's gasoline expenses for 2 weeks, first determine the total miles he drives in that period. He drives 10 miles a day, 4 days a week, which totals 40 miles a week. Over 2 weeks, he drives 80 miles. Since his car gets 20 miles per gallon, he uses 4 gallons of gas in 2 weeks (80 miles ÷ 20 miles/gallon). At \$2.50 per gallon, his total cost is \$10.00 (4 gallons × \$2.50/gallon). This calculation shows how to manage budgeting for regular expenses like commuting.
6.

### What is the next letter in the sequence: J, F, M, A, M, J, ____?

Explanation:
This sequence represents the first letter of the month of the year. J for January, F for February, M for March, A for April, M for May, and J for June. Following this pattern, the next letter represents July, which also starts with a J. This kind of sequence is common in puzzles that require recognition of patterns in alphabets or symbols associated with time or specific sequences.
7.

### Jack catches 32 fish on Saturday. On Sunday, he catches 1/4 the amount he caught on Saturday. On Monday, he catches 1/2 the fish he caught on Saturday and Sunday combined. How many fish did Jack catch on Monday?

Explanation:
To solve this, first calculate the number of fish Jack catches on Sunday: 1/4 of 32 fish is 8 fish. Then, add Saturday's and Sunday's totals: 32 fish + 8 fish = 40 fish. Finally, find out how many fish Jack catches on Monday by taking 1/2 of the total from Saturday and Sunday, which is 1/2 of 40 fish = 20 fish. This problem demonstrates basic fraction and multiplication operations applied to real-life situations, emphasizing how proportional reasoning helps solve problems.
8.

### Ned normally sells apples for 40 cents each, but today they are on sale for 5 for \$1. How much money would you save if you bought 16 apples at the sale price?

Explanation:
To calculate the savings, first determine the total cost at the regular price and the sale price. Normally, 16 apples at 40 cents each would cost \$6.40 (16 x \$0.40). With the sale, 16 apples, priced at 5 for \$1, cost \$3.20 (as 3 groups of 5 apples cost \$3 and 1 extra apple costs \$0.20, totaling \$3.20). The savings is the difference between the regular price and the sale price, which is \$6.40 - \$3.20 = \$3.20. This example demonstrates how to compare costs to determine savings during sales, a useful skill in financial literacy.
9.

### What is the product of 204 and 51?

Explanation:
To calculate the product of 204 and 51, you multiply the two numbers together. The calculation proceeds as follows: 204 multiplied by 51 equals 10,404. This result is achieved through straightforward multiplication, which involves combining the quantities represented by these numbers into a single total. This operation demonstrates the utility of multiplication in efficiently finding the total amount when one quantity is repeated multiple times.
10.