Math Problem Statement

Answer all

Answer all

Solution

Here are the answers with solutions for each question:

Question 16

Identify a solid with a uniform triangular cross-section.
Answer: Triangular Prism
Explanation: A triangular prism has uniform triangular cross-sections when sliced parallel to its bases.


Question 17

Which angle below is greater than a quarter turn?

  • A quarter turn equals 9090^\circ.
  • Answer: Angle B (It is greater than 9090^\circ).

Question 18

Calculate the mean of Jalhisa's scores if she scored 67,89,0,100,67, 89, 0, 100, and 9494 in five examinations.

The formula for the mean:
Mean=Sum of all scoresNumber of scores\text{Mean} = \frac{\text{Sum of all scores}}{\text{Number of scores}}

Step 1: Add the scores.
67+89+0+100+94=35067 + 89 + 0 + 100 + 94 = 350

Step 2: Divide the total by the number of scores.
Mean=3505=70\text{Mean} = \frac{350}{5} = 70

Answer: 70


Question 19

Identify the mode of the numerals listed below.

Given numbers:
27,33,21,20,35,20,26,32,27,33,31,2727, 33, 21, 20, 35, 20, 26, 32, 27, 33, 31, 27

Step 1: Count the frequency of each number:

  • 2727 appears 3 times.
  • 3333 appears 2 times.
  • 21,20,35,26,32,21, 20, 35, 26, 32, and 3131 each appear 1 time.

Step 2: Identify the mode (most frequent value):
The mode is 27.

Answer: 27


Question 20

Complete the tally chart for snacks preferred by 33 students.

Given Data:

  • Apples = 9 students → Tally: \text{Tally: } \| \| \| \| \| \| \| \| \| \|
  • Pretzels = 11 students → Tally: \text{Tally: } \| \| \| \| \| \| \| \| \| \| \| \|

Step 1: Total students = 33
Find the number of students for Chips:
Chips=33(9+11)=3320=13\text{Chips} = 33 - (9 + 11) = 33 - 20 = 13

Step 2: Draw the tally for 13 students:
\| \| \| \| \| \| \| \| \| \| \| \| \| \|

Answer: Chips = 13 students.


Summary of Answers

  1. 16: Triangular Prism
  2. 17: Angle B
  3. 18: 70
  4. 19: 27
  5. 20: Chips = 13 students (Tally: ||||| ||||| |||)

Would you like a step-by-step breakdown for any specific question? Let me know!

Related Questions:

  1. What is the difference between mean, median, and mode?
  2. How do you calculate angles in a turn (quarter turn, half turn)?
  3. Can you explain what a prism is and give other examples?
  4. What is a frequency table, and how is it used to represent data?
  5. How do you calculate the range of a dataset?

Tip: To verify your answers, always recheck your addition and count for repeated numbers carefully!

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Math Problem Analysis

Mathematical Concepts

Geometry: Solids with uniform cross-sections
Angles: Measuring angles and quarter turns
Statistics: Mean, Mode, and Tally Charts
Arithmetic: Basic addition, division, and counting

Formulas

Mean = Sum of all scores / Number of scores

Theorems

Quarter turn equals 90 degrees
Mode is the number that appears most frequently

Suitable Grade Level

Grade 5-7