Answer the following
🖋Online Maths Tutor, Dubai
🖋Online Maths Tutor, Dubai
Reviews
1 / 7
2 / 7
3 / 7
4 / 7
5 / 7
6 / 7
7 / 7
IGCSE Mathematics Worksheet - Vectors-2
Answer the following
1.
OPQ is a triangle. T is the point on PQ for which PT : TQ = 2 : 1.
= a and = b.
= a and = b.
(a) Write down, in terms of a and b, an expression for .
(b) Express in terms of a and b. Give your answer in its simplest form.
2.
ABCD is a parallelogram. AB is parallel to DC. AD is parallel to BC. = p = q
Express, in terms of p and q
(i)
(ii)
= 2b = 2a = 6a
M is the midpoint of PQ and N is the midpoint of OR.
(a) Find the vector 
in terms of a and b.
in terms of a and b.
X is the midpoint of MN and Y is the midpoint of QR.
(b) Prove that XY is parallel to OR.
4. (a)Express in terms of a and/orb
(i) 
(ii)
X is the midpoint of BC.
(b) Express in terms of a and/or b
Downloaded from https://qusaistuition.blogspot.com
CBSE Class 9th Mathematics Worksheet - Areas of Parallelograms and Triangles-2
Answer the following
1. In the given figure ABCD is a parallelogram AE ⊥ DC and CF ⊥ AD. If AB = 18 cm, AE = 8 cm and CF = 16 cm, find AD.
2. In the below figure AD is the median, and E is mid-point on AD. If the area of triangle is 16 cm2, what is the area of the triangle BED
3. Two parallelograms are on the same base and between the same parellels. The ratio of their areas is:
a) 1:2
b) 1:1
c) 1:4
d) None of these
4. Show that a median of a triangle divides it into two triangle of equal area.
5. Point P and Q are on the sides DC and AD of a parallelogram respectively. Show that
6. If E, F, G & H are mid points of sides of parallelogram ABCD, then show that
7. In given figure ABCD is a quadrilateral and BE||AC is such that BE meets at E on the extended CD. Show that area of triangle ADE is equal to the area of quadrilateral ABCD.
8. ABCD is a trapezium in which AB||CD and diagonals AC and BD intersect at 0. Prove that
9. Parallelogram ABCD and rectangle ABEF are on the same base and have equal areas. Show that perimeter of the parallelogram is greater than that of rectangle.
CBSE 8th Mathematics Worksheet - Important Questions-Linear Equations & Understanding Quadrilaterals
Answer the following
1. Solve
a)
b)
c)
d)
e)
2. Simplify
a) 0.4(3x –1) = 0.5x + 1
b) 5(x – 1) – 2(x + 8) = 0
c) 3 (5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
3. Solve : 5x – 3 = 3x + 7
4. The sum of three consecutive numbers is 156. Find the numbers.
5. Fifteen added to thrice a whole number gives 93. The number is __________.
6. After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age
7. The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
8. Find x
2. Simplify
a) 0.4(3x –1) = 0.5x + 1
b) 5(x – 1) – 2(x + 8) = 0
c) 3 (5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
3. Solve : 5x – 3 = 3x + 7
4. The sum of three consecutive numbers is 156. Find the numbers.
5. Fifteen added to thrice a whole number gives 93. The number is __________.
6. After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age
7. The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
8. Find x
9. Find the values of x and y
10. Each interior angle of a polygon is 108°. Find the number of sides of the polygon.
11. If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, find the ratio of these angles.
12. The angles of a quadrilateral are in the ratio 3 : 7 : 6 : 4. Find the angles.
Downloaded from http://qusaistuition.blogspot.com
Subscribe to:
Posts (Atom)
