Mathematics
Simplification
Simplify: 2/7 + 1/1.
A. 2/7
B. 3/8
C. 9/7
D. -5/7
Correct Answer: C
Using a common denominator, the sum is 9/7.
Mathematics
Simplification
Simplify √144.
A. 11
B. 13
C. 12
D. 144
Correct Answer: C
Since 12²=144, √144=12.
Mathematics
Simplification
Evaluate 2^3.
A. 8
B. 6
C. 4
D. 10
Correct Answer: A
2^3 means multiplying 2 by itself 3 times, giving 8.
Mathematics
Simplification
Simplify: 2470 ÷ 13.
A. 2457
B. 32110
C. 203
D. 190
Correct Answer: D
2470 ÷ 13 = 190.
Mathematics
Simplification
Simplify: (9 + 17) × 10.
A. 260
B. 36
C. 163
D. 179
Correct Answer: A
Brackets first: 9+17=26; then ×10 = 260.
Mathematics
Simplification
Simplify using order of operations: 8 + 15 × 7.
A. 127
B. 161
C. 113
D. 120
Correct Answer: C
Multiplication first: 15×7=105; then add 8: 113.
Mathematics
Simplification
Simplify: 1/7 + 2/3.
A. 3/10
B. 2/21
C. -11/21
D. 17/21
Correct Answer: D
Using a common denominator, the sum is 17/21.
Mathematics
Simplification
Simplify √36.
A. 7
B. 6
C. 36
D. 5
Correct Answer: B
Since 6²=36, √36=6.
Mathematics
Simplification
Evaluate 5^5.
A. 625
B. 3125
C. 3130
D. 25
Correct Answer: B
5^5 means multiplying 5 by itself 5 times, giving 3125.
Mathematics
Simplification
Simplify: 224 ÷ 8.
A. 1792
B. 216
C. 36
D. 28
Correct Answer: D
224 ÷ 8 = 28.
Mathematics
Simplification
Simplify: (3 + 5) × 5.
A. 13
B. 40
C. 20
D. 28
Correct Answer: B
Brackets first: 3+5=8; then ×5 = 40.
Mathematics
Simplification
Simplify using order of operations: 2 + 3 × 2.
A. 8
B. 10
C. 9
D. 11
Correct Answer: A
Multiplication first: 3×2=6; then add 2: 8.
Mathematics
TimeSpeed & Distance
How much time is required to cover 1395 km at a constant speed of 85 km/h?
A. 18.60 h
B. 14.68 h
C. 17.41 h
D. 16.41 h
Correct Answer: D
Time = distance ÷ speed = 1395 ÷ 85 = 16.41 hours.
Mathematics
TimeSpeed & Distance
Two travelers are 930 km apart and move toward each other at 75 km/h and 35 km/h. When will they meet?
A. 8.45 h
B. 23.25 h
C. 12.40 h
D. 26.57 h
Correct Answer: A
Closing speed = 75+35=110 km/h. Time = 930/110 = 8.45 hours.
Mathematics
TimeSpeed & Distance
A train 880 metres long travels at 54 km/h. Find the time taken to pass a signal post.
A. 16.30 s
B. 62.67 s
C. 58.67 s
D. 55.67 s
Correct Answer: C
54 km/h = 15.00 m/s. Time = 880/15.00 = 58.67 seconds.
Mathematics
TimeSpeed & Distance
How much time is required to cover 1335 km at a constant speed of 65 km/h?
A. 20.54 h
B. 24.27 h
C. 17.80 h
D. 21.54 h
Correct Answer: A
Time = distance ÷ speed = 1335 ÷ 65 = 20.54 hours.
Mathematics
TimeSpeed & Distance
Two travelers are 890 km apart and move toward each other at 55 km/h and 50 km/h. When will they meet?
A. 16.18 h
B. 8.48 h
C. 17.80 h
D. 178.00 h
Correct Answer: B
Closing speed = 55+50=105 km/h. Time = 890/105 = 8.48 hours.
Mathematics
TimeSpeed & Distance
A train 840 metres long travels at 72 km/h. Find the time taken to pass a signal post.
A. 39.00 s
B. 46.00 s
C. 42.00 s
D. 11.67 s
Correct Answer: C
72 km/h = 20.00 m/s. Time = 840/20.00 = 42.00 seconds.
Mathematics
TimeSpeed & Distance
How much time is required to cover 1275 km at a constant speed of 85 km/h?
A. 15.00 h
B. 13.42 h
C. 17.00 h
D. 16.00 h
Correct Answer: A
Time = distance ÷ speed = 1275 ÷ 85 = 15.00 hours.
Mathematics
TimeSpeed & Distance
Two travelers are 850 km apart and move toward each other at 80 km/h and 30 km/h. When will they meet?
A. 17.00 h
B. 7.73 h
C. 10.62 h
D. 28.33 h
Correct Answer: B
Closing speed = 80+30=110 km/h. Time = 850/110 = 7.73 hours.