Math Problem Statement
Solution
I can read the mathematical content from the image to help with solutions. Let me analyze the questions and solve them one by one:
8) Write as a decimal "Thirty and one-tenth":
Options:
(a) 30.2
(b) 3.1
(c) 31.2
(d) 30.1
Solution:
"Thirty and one-tenth" means .
Correct Answer: (d) 30.1
9) The angle measure between the hands of the clock in the adjoining figure is:
Options:
(a) 90°
(b) 30°
(c) 180°
(d) 60°
The clock shows 1:00 p.m.. The angle between the hour hand and minute hand is .
From 12 to 1, there is a 1-hour difference:
.
Correct Answer: (b) 30°
10) A traffic policeman is standing looking East. In which direction will he look if he turns to his left three right angles?
Options:
(a) North
(b) South
(c) West
(d) East
Solution:
1 right angle = .
3 right angles = .
If he starts facing East and turns 270° to the left, he will end up facing North.
Correct Answer: (a) North
Let me know if you'd like further details or explanations! Here are 5 related questions to expand understanding:
- What is the decimal form of "Forty-five and two-tenths"?
- How would you calculate the angle between clock hands at 3:15?
- If someone faces South and turns left by two right angles, which direction will they face?
- Convert into a decimal.
- Explain how the clock angle changes when the time is 9:15.
Tip: To calculate clock angles, always remember the formula:
.
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Math Problem Analysis
Mathematical Concepts
Decimals
Angles in Clocks
Direction and Rotation
Formulas
Decimal conversion: Whole number + fractional part
Clock angle formula: |30 × Hour - (11/2) × Minutes|
Directional rotation: Right angle = 90°, Total rotation = Number of right angles × 90°
Theorems
Basic Geometry
Measurement of Angles
Directional Orientation
Suitable Grade Level
Grades 5-7
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