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Example:
Reduce 2:10 to its lowest terms
1:5
2:5
8:10
Example: What is line AD?
chord
arc
radius
Example:
What is the greatest common factor of 15 and 33?
Factors of 15 → 1, 3, 5, 15
Factors of 33 → 1, 3, 11, 33
Common Factors → 1, 3
Greatest Common Factors → 3
Example:
If 2n = 8, then n = ?
8
3
2
Example: Lucy had 1 blue, 3 green and 4 red pens. What type of a ratio is 3:4??
whole to part
part to whole
part to part
Example: 1, __ , 3, 4, 5; mean=3
Step 1: Let N be the missing number.
Step 2: We know, Mean = (Sum of all numbers)/(Number of numbers);
Therefore, Sum of all numbers = Mean x Number of numbers
→ 1 + N + 3 + 4 + 5 = 3 x 5 → N + 13 = 15 → N = 15-13 → N = 2
Step 1: Let N be the missing number.
Step 2: We know, Mean = (Sum of all numbers)/(Number of numbers);
Therefore, Sum of all numbers = Mean x Number of numbers
→ 1 + N + 3 + 4 + 5 = 3 x 5 → N + 13 = 15 → N = 15-13 → N = 2
Example: What is the coefficient of 2y?
Answer: 2
Note: Numerical coefficient is the numeral part in a term.
Answer: 2
Note: Numerical coefficient is the numeral part in a term.
Example:
Common multiples of 2 and 3
6, 12, 18,...
2, 3, 6, ...
6, 9, 12, ...
Example:
4 . 4 . 4 = _____
34
43
82
Example:
PQ ∥ RS
FALSE
TRUE
Example: Find the range of the following: 1, 2, 4, 5, 5
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Highest number → 5; Lowest number → 1
Step 3: Difference between the highest and the lowest numbers in the list → 5 - 1 = 4. Therefore, the range is 4.
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Highest number → 5; Lowest number → 1
Step 3: Difference between the highest and the lowest numbers in the list → 5 - 1 = 4. Therefore, the range is 4.
Example: Find the median of the following: 1, 2, 1, 5, 5
Step 1: Sort the list → 1, 1, 2, 5, 5
Step 2: Count of numbers listed → 5 (odd)
Step 3: So the middle number is (count+1)/2 → (5+1)/2 → 3rd number. Therefore, the median is 2.
Step 1: Sort the list → 1, 1, 2, 5, 5
Step 2: Count of numbers listed → 5 (odd)
Step 3: So the middle number is (count+1)/2 → (5+1)/2 → 3rd number. Therefore, the median is 2.
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