Mock Paper: Mathematics Grade 5 Study Notes

A) The ⌢ symbol is used to denote an arc.
- Answer: True
B) The distance between any two points on the circumference of a circle is called the diameter of the circle.
- Answer: False
- Explanation: The distance is called the chord or arc, not specifically the diameter.
C) 12 o'clock midnight is expressed in 24-hour clock format as 0000 hours.
- Answer: True
D) If C.P. = S.P., then there is profit.
- Answer: False
- Explanation: If C.P. equals S.P., there is no profit or loss.
E) Transportation and taxes come under overhead expenditure.
- Answer: True
F) To convert a percentage into a decimal number, remove the % symbol and divide the number by 10.
- Answer: False
- Explanation: To convert, remove the % symbol and divide by 100.

A) Classify the following angles as acute, obtuse, straight, or right angle.
- Answer Required: Ensure angles are categorized properly.
B) Draw an angle of measure 145° with the help of a protractor.
- Answer Required: Ensure angle diagram is shown.
C) Find the area of the shaded triangle in the following figure.
- Answer Required: Ensure area calculation is shown.
D) Find the approximate area of the following figure drawn on 1 cm squared paper.
- Answer Required: Calculation needed.
E) Find the S.P. for the following, C.P. = ₹ 8,450, Profit = ₹ 620, Overhead charges = ₹ 230.
- S.P. Calculation: $(S.P. = C.P. + Profit)$
- S.P. Calculation: $(S.P. = 8,450 + 620 = ₹ 9,070)$
F) Find the loss incurred in the following, C.P. = ₹ 1,250, S.P. = ₹ 1,180.
- Loss Calculation: $(Loss = C.P. - S.P.)$
- Loss Calculation: $(Loss = 1,250 - 1,180 = ₹ 70)$
G) Check if the following years are leap years.
- i) 1960
- ii) 2013
- Answer: 1960 is a leap year, 2013 is not a leap year.
H) Express the following percentages as decimals.
- i) 0.075% = 0.00075
- ii) 2.18% = 0.0218

A) Draw a circle of radius 5 cm. Mark its centre O. Draw a chord LM of length 4 cm in it.
- Answer Required: Diagram needed with radius and chord illustrated.
B) Four angles are labelled in the figure below.
- a) Which of the angles are acute angles?
- b) Which of the angles are obtuse angles?
- Answer Required: Angle classifications needed.
C) Complete the table.
- Length of Rectangle: 48 cm, Breadth of Rectangle: __, Perimeter: 176 cm.
- Solve for breadth:
- Use formula: $(P = 2(Length + Breadth))$ and solve accordingly.
D) Add the following time: 6 minutes 45 seconds and 4 minutes 25 seconds.
- Total time: 11 minutes 10 seconds
E) A taxi charges ₹ 280 for a journey of 50 km. How much would it cost for a journey of 420 km?
- Use ratio method: $(Cost = (420/50) * 280)$
- Calculate: Cost = ₹ 2,352.
F) Anjali purchased a car for ₹ 5,60,000. She spent ₹ 40,000 on servicing and painting. She sold the car for ₹ 5,85,000. Find her profit or loss.
- Total Investment: ₹ (5,60,000 + 40,000) = ₹ 6,00,000
- Profit: ₹ (5,85,000 - 6,00,000) = -₹ 15,000 (Loss)
G) Find the values of the following percentages.
- i) 2.5% of 80 km = $(0.025 * 80) = 2 km$
- ii) 120% of 90 days = $(1.2 * 90) = 108 days$
H) Subtract the following: 3 minutes 45 seconds from 8 minutes 30 seconds.
- Result: 4 minutes 45 seconds
I) Find the values of the given quantities as a percentage.
- i) 750 m of 1 km = $(750/1000) * 100 = 75%$
- ii) 20 ml of 1 L = $(20/1000) * 100 = 2%$

A) 20 notebooks for ₹ 120 or 15 notebooks for ₹ 105
- Choose the better option based on cost per notebook.
B) 18 diyas for ₹ 90 or 24 diyas for ₹ 132
- Choose the better option based on cost per diya.

A) Ravi and Sonam both measured the angle and got different measures, check who measured the angle correctly. Support your answer with the correct justification.
- Answer Required: Justify with measurements.
B) Two quadrilaterals are given below:
- A rectangle of length 28 cm and breadth 16 cm
- A square of side 24 cm
- Calculate area of each:
- Area of Rectangle: $(Area = Length * Breadth = 28 * 16 = 448 ext{ cm}^2)$
- Area of Square: $(Area = Side^2 = 24 * 24 = 576 ext{ cm}^2)$
- Compare areas to find which has the larger area and by how much.
C) In a class of 25 students, 15 are girls, Rohan claims that the percentage of girls is more than boys. Is his claim correct? Show your working to support your answer.
- Calculation of girls percentage: (Girls ext{ } ext{Percentage} = (15/25) * 100 = 60 ext{%})
- Calculation of boys percentage: (Boys ext{ } ext{Percentage} = (10/25) * 100 = 40 ext{%})
- Conclusion: Rohan's claim is correct as there are more girls than boys.