📘 Half Yearly Exam – Mathematics Practice Paper 3 (Class 5)
Instructions: Solve first without looking. Show all steps. Click "Show Answer" to check your work.
Q1 a) Find the greatest number that divides 252, 378 and 594 exactly.
HCF of 252, 378, 594 = 18
Q1 b) A number exceeds 4,58,326 by 2,35,789. Find the number.
458326 + 235789 = 694115
Q1 c) Ravi bought 3⅗ m cloth. He used 2¾ m. How much is left?
18/5 – 11/4 = (72–55)/20 = 17/20 m
Q2 a) Arrange in ascending order: –15, –3, 11, –9, 0, 8
–15, –9, –3, 0, 8, 11
Q2 b) Find 23,456.78 – 17,894.95
23,456.78 – 17,894.95 = 5,561.83
Q2 c) Find 160% of 750.
160% × 750 = 1200
Q3 a) One bus carries 48 passengers. How many passengers can 275 buses carry?
48 × 275 = 13,200 passengers
Q3 b) The product of two numbers is 540. If their HCF is 6, find their LCM.
LCM = 540 ÷ 6 = 90
Q3 c) Multiply 4⅓ × 2½ × ¾
13/3 × 5/2 × 3/4 = 65/8 = 8⅛
Q4 a) Solve: 9 1/3 ÷ 2 2/5
28/3 ÷ 12/5 = 28/3 × 5/12 = 140/36 = 35/9 = 3 8/9
Q4 b) Write integers from –20 to –15.
–20, –19, –18, –17, –16
Q4 c) A pen costs ₹37.50. Find cost of 324 pens.
37.50 × 324 = ₹12,150
Q5 a) Solve: (–326) + (–174)
–500
Q5 b) Out of 80 students, 45% are boys. Find number of boys.
45% of 80 = 36 boys
Q5 c) Cost of 150 fans = ₹4,50,000. Find cost of 1 fan.
₹4,50,000 ÷ 150 = ₹3,000 per fan
Q6 a) Ankit scored 68/85 in Hindi and 92/120 in English. In which subject was he better?
Hindi = 68/85 ×100 = 80%, English = 92/120 ×100 = 76.7%, Better in Hindi
Q6 b) The product of two fractions is 45/98. If one fraction is 9/14, find the other.
Other = 45/98 ÷ 9/14 = 45/98 × 14/9 = 5/7
Q7 a) If one angle of right angled triangle is 35⁰,find other angle.
other angle= 180⁰- (90⁰+ 35⁰)= 55⁰
Q7 b) Construct 105⁰.
Use protector to construct
Q8 a) Find the LCM of 225, 375 and 900 by division method.
LCM = 4500
Q8 b) A hall has 1,500 seats. If 1,200 are occupied, find % of seats unoccupied.
Unoccupied = 1500 – 1200 = 300, (300 ÷ 1500) ×100 = 20%
