Question Paper
Class / Subject: Class 10 (ICSE) · Mathematics
Chapter: Chapter 13 — Chapter 13: Section and Mid-Point Formula
Time Allowed: 32 minutes
Max Marks: 16
1. What is the mid-point formula? [1]
(A) ((x₁+x₂)/2, (y₁+y₂)/2)
(B) (x₁+x₂, y₁+y₂)
(C) (x₁-x₂, y₁-y₂)
(D) (x₁×x₂, y₁×y₂)
2. What is the mid-point of (2,4) and (6,8)? [1]
(A) (4,6)
(B) (8,12)
(C) (3,4)
(D) (2,2)
3. What does the section formula find? [1]
(A) A point dividing a segment in a given ratio
(B) Only the mid-point
(C) The slope of a line
(D) The length of a segment
4. What is the section formula for ratio m:n? [1]
(A) ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))
(B) ((x₁+x₂)/2, (y₁+y₂)/2)
(C) (mx₁+nx₂, my₁+ny₂)
(D) (x₁-x₂, y₁-y₂)
5. What can these formulas find in a triangle? [1]
(A) The centroid
(B) Only the area
(C) Only the perimeter
(D) Nothing useful
6. Why are these formulas useful? [1]
(A) For finding specific points along segments
(B) No reason
(C) They're not useful
(D) Only for decoration
7. What do we average in the mid-point formula? [1]
(A) X and y coordinates
(B) Only x coordinates
(C) Only y coordinates
(D) Neither coordinate
8. Why learn section and mid-point formulas? [1]
(A) Essential for coordinate geometry problems
(B) No reason
(C) It's not useful
(D) Only for tests
9. What is the mid-point formula? [1]
(A) ((x₁+x₂)/2, (y₁+y₂)/2)
(B) (x₁+x₂, y₁+y₂)
(C) (x₁-x₂, y₁-y₂)
(D) (x₁×x₂, y₁×y₂)
10. What is the mid-point of (2,4) and (6,8)? [1]
(A) (4,6)
(B) (8,12)
(C) (3,4)
(D) (2,2)
11. What does the section formula find? [1]
(A) A point dividing a segment in a given ratio
(B) Only the mid-point
(C) The slope of a line
(D) The length of a segment
12. What is the section formula for ratio m:n? [1]
(A) ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))
(B) ((x₁+x₂)/2, (y₁+y₂)/2)
(C) (mx₁+nx₂, my₁+ny₂)
(D) (x₁-x₂, y₁-y₂)
13. What can these formulas find in a triangle? [1]
(A) The centroid
(B) Only the area
(C) Only the perimeter
(D) Nothing useful
14. Why are these formulas useful? [1]
(A) For finding specific points along segments
(B) No reason
(C) They're not useful
(D) Only for decoration
15. What do we average in the mid-point formula? [1]
(A) X and y coordinates
(B) Only x coordinates
(C) Only y coordinates
(D) Neither coordinate
16. Why learn section and mid-point formulas? [1]
(A) Essential for coordinate geometry problems
(B) No reason
(C) It's not useful
(D) Only for tests