2. Solve the following equations: 10p-10=100
3. Solve the following equations: 4+5(p-1)=34
4. Solve the following
The teacher tells the class that the highest marks obtained by a student in her
class is twice the lowest marks plus 7. The highest score is 87. What is the
lowest score?
5. List five rational numbers between: -2 and -1.
6. Find: 7/24-17/36
7. Construct an equilateral triangle of side 5.5 cm.
8. Construct an isosceles triangle in which the length of each of its equal sides
is 6.5 cm and the angle between them is 1100
9. Construct an isosceles right-angled triangle ABC, where angle ACB=900 and
AC-6 cm
10. Construct a right-angled triangle whose hypotenuse is 6 cm long and one
of the legs is 4cm long
11. Find the area of a square park whose perimeter is 320m.
12. The perimeter of a rectangle is 130cm. If the breadth of the rectangle is
30cm, find its length. Also find the area of the rectangle.
12. A wire is in the shape of a rectangle. It's length is 40 cm and breadth is
22cm. If the same wire is rebent in the shape of a square, what will be the
measure of each side. Also find which shape encloses more area?
14. Find the circumference of the circles with the following radius: 28mm.
15. If the circumference of a circular sheet is 154m, find its radius. Also find
the area of the sheet. (Take pie22/7)
16. A garden is 90m long, and 75m broad. A path 5m wide is to be built outside
and around it. Find the area of the path. Also find the area of the garden in
hectare.
17. Two cross roads, each of width 10cm,cut a right angles through the centre
of a rectangular park of length 700m and breadth 300m and parallel to its
sides. Find the area of the roads. Also find the area of the park excluding cross
roads. Give the answer in hectares
18. Identify terms and factors in the expression: 1.2ab-2.4b+3.6a
19. Add: 5m-7n, 3n-4m+2, 2m-3mn-5.
20. What should be subtracted from 2a+8b+10 to get -3a+7b+16?
21. Simplify the expression and find the value if x is equal to 2:412x-1)+3x+11
22. Simplify these expression and find their values if x-3, as-1,6--2. (a) 10-3b-
4-5b (b) 2a-2b-4-5-a.
23. If p=-10, find the value of p2-2p-100.
24. Express each of the following numbers using exponential notation: 3125
25. Express each of the following as product of powers of their prime factors:
3500
26. Compare the following numbers: 41014;3 1017
27. Using laws of exponents, simplify and write the answer in exponential
form: (210/215)*23
28. Express each of the following as a product of prime factors only in
exponential form: 729"64
29. Write the following numbers in the expanded forms: 3006194
30. Give three examples of shapes with no line of symmetry
31. Name any two figures that have both line symmetry and rotational
symmetry
32. The dimensions of a cuboid are 5cm, 3cm and 2 cm. Draw three different
isometric sketches of this cuboid.
33. What cross-sections do you get when you give a (a) Vertical cut (b)
horizontal cut to the following solids?
(a) A brick
(b) An ice cream cone