Question
Use a pair of compasses and construct the following angles:
75°
75°
✓
Answer
Steps of Construction:
- Draw a ray OA.
- With O as centre and any suitable radius draw an arc cutting OA at B.
- With B as centre and same radius* cut the previous arc at C and then with C as centre cut the arc at D.
- With C as centre and radius more than half CD draw an arc.
- With D as centre and same radius draw another arc to cut the previous arc at E.
- Join OE. Also join OC and produce it to G.
- Draw the bisector OF of $\angle\text{EOG}.$
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Similar questions
Total number of students of a school in different years is shown in the following table:
Represent the above data by a pictograph.
Prepare a pictograph of students using one symbol an icon of a student to represent students and answer the following questions:
|
Year
|
Number of students
|
|
1996
|
400
|
|
1998
|
550
|
|
2000
|
450
|
|
2002
|
600
|
|
2006
|
650
|
Prepare a pictograph of students using one symbol an icon of a student to represent students and answer the following questions:
- How many symbols represent total number of students in the year 2002?
- How many symbols represent total number of students for the year 1998?
If AB = 7.5cm and CD = 2.5cm, construct a segment whose length is equal to:
2AB + 3CD
2AB + 3CD
Use a pair of compasses and construct the following angles:
105°
105°
Different mathematical operations are given in the two rows below. Find out the number you get in each operation and make equations.
- 16 ÷ 2,
- 5 × 2,
- 9 + 4,
- 72 ÷ 3,
- 4 + 5,
- 8 × 3,
- 19 – 10,
- 10 – 2,
- 37 – 27,
- 6 + 7
Match the following columns on whole numbers:
|
S.No.
|
Column A
|
S.No.
|
Column B
|
|
(a)
|
137 + 63 = 63 + 137
|
(i)
|
Associativity of multiplication
|
|
(b)
|
(16 × 25) is a number
|
(ii)
|
Commutativity of multiplication
|
|
(c)
|
365 × 18 = 18 × 365
|
(iii)
|
Distributive law of multiplication over addition.
|
|
(d)
|
(d) (86 × 14) × 25 = 86 × (14 × 25)
|
(iv)
|
Commutativity of addition
|
|
(e)
|
23 × (80 + 5) = (23 × 80) + (23 × 5)
|
(v)
|
Closure property for multiplication
|
Draw a line l. Take a point A, not lying on l. Draw a line m such that $\text{m}\perp\text{l}$ and passing through A. Using ruler and compasses.
→$5 \frac{1}{2}-3 \frac{1}{3}$
→Find the HCF of the numbers in the following using the division method:391, 425, 527
Express each of the following as a Roman numeral:
|
S.No.
|
Numerical
|
|
i
|
2
|
|
ii
|
8
|
|
iii
|
14
|
|
iv
|
29
|
|
v
|
36
|
|
vi
|
43
|
|
vii
|
54
|
|
viii
|
61
|
|
ix
|
73
|
|
x
|
81
|
|
xi
|
91
|
|
xii
|
95
|
|
xiii
|
99
|
|
xiv
|
105
|
|
xv
|
114
|
Show that the following pairs are co-primes:512, 945