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Area problems
1. ?ABC is right angled at B. BD is an altitude. AD = 9 cm and DC = 16 cm. What is the value of BD (in cm)?
Options
A. 6
B. 18
C. 21
D. 12
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Correct Answer: 12
2. ? DEF is right angled at E. If m?D = 30°, what is the length of DE (in cm), if EF = 6?3 cm?
Options
A. 18
B. 12?3
C. 18?3
D. 12
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Correct Answer: 18
3. What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?
Options
A. 42
B. 168
C. 84
D. 63
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Correct Answer: 84
4. What is the area (in sq cm) of an equilateral triangle of side 14 cm?
Options
A. 49?3
B. 98?3
C. (49/2)?3
D. (49/4)?3
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Correct Answer: 49?3
5. Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?
Options
A. (-1 , 7)
B. (1 , -7)
C. (1 , 6)
D. (-1 , -7)
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Correct Answer: (1 , 6)
6. What is the area (in sq cm) of a rectangle if its diagonal is 25 cm and one of its sides is 24 cm?
Options
A. 186
B. 144
C. 132
D. 168
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Correct Answer: 168
7. Area of 4 walls of a cuboid is 57 sq m, if its length is 5.5 m and height is 3 m. What is its breadth (in m)?
Options
A. 4.5
B. 4
C. 3
D. 3.5
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Correct Answer: 4
8. The height of an equilateral triangle is 18 cm. Its area is
Options
A. 36√3 sq. m.
B. 108√3 sq. cm.
C. 108 sq. cm.
D. 96√3 sq. m.
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Correct Answer: 108√3 sq. cm.
9. The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is
Options
A. 52
B. 48
C. 32
D. 26
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Correct Answer: 48
10. The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can paint 250 m2 in 2 days. If A and B work together, they will finish the job in
Options
A. 6 days
B. 6 10/33 days
C. 7 10/33 days
D. 8 days
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Correct Answer: 6 10/33 days
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Approximation
Area
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Simplification
Square Root and Cube Root
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Time and Distance
Time and Work
True Discount
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