Mathematics Practice Test - 5 - Class 5 MCQ

Here is the improved solution:

• 1 is a factor of every number. It divides all numbers without leaving a remainder.
• It is the smallest factor of any number because it is less than or equal to all other factors.
• This makes 1 unique as a factor, but it is not considered a prime number.

First, calculate the increase in the salary: 6000 minus 5000 equals 1000. Then, determine the percentage increase by dividing 1000 by 5000 and multiplying by 100, which gives 20%.

Kalyan jogged and walked around the field. To find the total distance he covered, follow these steps:

• Calculate the perimeter of the field. Assume the perimeter is unknown but is crucial for the solution.
• Kalyan jogged 5 rounds and walked 4 rounds along this perimeter.
• Add the distances: 5 rounds + 4 rounds = 9 rounds of the perimeter.
• The total distance equals the perimeter multiplied by 9.
• Assuming each round is 75 metres, the total distance is 675 metres.

This means Kalyan covered 675 metres in total.

The place value of digits in a number increases as you move from right to left.

• Each move to the left multiplies the place value by 10.
• This is because the number system is based on powers of ten.

let m be mass of box and x be mass of button
m+x=2000 converting 2 kg into g
m+x/3=800
3m+x=2400
2m=400
m=200g 

The solution involves arranging numbers in descending order, meaning from largest to smallest.

• Start by identifying the largest number, which is 0.4.
• Next is 0.34, which is smaller than 0.4 but larger than the others.
• Then comes 0.29, following 0.34.
• Finally, the smallest number is 0.04.

Therefore, the correct order is: 0.4, 0.34, 0.29, 0.04.

The solution identifies the type of angle described by angle Q:

• Angle Q is best described as obtuse.
• An obtuse angle measures more than 90 degrees but less than 180 degrees.
• This type of angle is larger than a right angle, which measures exactly 90 degrees.

To find the original salary before a 20% increase:

• Let the original salary be Rs. X.
• The salary increases by 20%, so it becomes 120% of X.
• We know the increased salary is Rs. 3000.
• Therefore, 1.2X = 3000.
• Solve for X: X = 3000 / 1.2.
• Calculate: X = 2500.

Thus, the original salary was Rs. 2500.

Let the previous salary be x.
Now, x+ 20% of x = 3000
So, x + (20/100)x = 3000
120/100 x = 3000

So, x = 2500
 

The figures are divided into equal parts and need to be compared to determine equivalent fractions. Let's break down the solution:

• Figure C and figure D are shaded to show equivalent fractions.
• This means the portion of the shaded area is the same in both figures, even if the total number of parts is different.

Thus, option A is correct.

To find the difference between the smallest 6-digit odd number and the largest 4-digit even number, follow these steps:

• The smallest 6-digit odd number is 100001.
• The largest 4-digit even number is 9998.
• Calculate the difference: 100001 - 9998 = 90003.

Thus, the difference is 90003.

Solution:

• To find which conversion is incorrect, convert grams to kilograms by moving the decimal point three places to the left.
• 8 kg 80 g = 8.08 kg, not 8.008 kg.
• The error is in option D, where the conversion was incorrect.

To round 11.047 to the nearest tenth, follow these steps:

• Identify the digit in the tenths place. Here, it is 0.
• Look at the digit in the hundredths place, which is 4.
• If the hundredths digit is less than 5, leave the tenths digit unchanged.

Thus, 11.047 rounded to the nearest tenth is 11.0.

The list of numbers is a sequence of prime numbers in ascending order: 17, 19, p, 29, 31, q, 41.

• Identify the missing primes between 19 and 29, and between 31 and 41.
• After 19, the next prime number is 23, so p = 23.
• After 31, the next prime number is 37, so q = 37.
• Calculate q - p: 37 - 23 = 14.

Therefore, the value of q - p is 14.

To divide Rs. 60 into two parts in the ratio of 2:3 and find the difference between them:

• Let the two parts be 2x and 3x.
• According to the ratio, 2x + 3x = 60.
• Combine the terms: 5x = 60.
• Solve for x: x = 60 / 5 = 12.
• The parts are 2x = 24 and 3x = 36.
• The difference is 36 - 24 = Rs. 12.

The difference between the parts is Rs. 12.

The volume of the cube with a 9 cm edge is calculated as follows:

• Volume of the cube = 9 cm × 9 cm × 9 cm = 729 cm³

Since the cube is partially filled with 405 cm³ of water, we need to find the height of the water:

• Base area of the cube = 9 cm × 9 cm = 81 cm²
• Height of water = Volume of water / Base area
• Height of water = 405 cm³ / 81 cm² = 5 cm

Therefore, the height of the water in the cube is 5 cm.

To determine how many years ago Sunitha's age was twice her son's age, follow these steps:

• Current ages: Sunitha is 65 and her son is 36.
• Let x be the number of years ago when her age was twice her son's age.
• Equation: 65 - x = 2 * (36 - x).
• Simplifying the equation:
  • 65 - x = 72 - 2x
  • Add 2x to both sides: 65 + x = 72
  • Subtract 65 from both sides: x = 7
• Thus, 7 years ago, Sunitha's age was twice her son's age.

To find the cost price of the bat, follow these steps:

• The selling price of the bat is Rs. 1728.
• The profit made is Rs. 198.
• Use the formula: Cost Price = Selling Price - Profit.
• Substitute the values: Rs. 1728 - Rs. 198 = Rs. 1530.
• Thus, the cost price of the bat is Rs. 1530.

If the length and breadth of a rectangle are doubled, the perimeter changes as follows:

• The original perimeter is calculated as 2(length + breadth).
• When both dimensions are doubled, the new dimensions become 2 × length and 2 × breadth.
• The new perimeter is 2(2 × length + 2 × breadth), which simplifies to 4(length + breadth).
• This shows the perimeter is doubled.

To find the greatest possible value of a number with 1 decimal place that rounds to 49:

• When rounding to the nearest whole number, a number rounds to 49 if it is at least 48.5 but less than 49.5.
• The greatest possible value, therefore, is 49.4 because:
  • 49.4 rounds down to 49 when rounded to the nearest whole number.
  • Any value greater than 49.4 would round up to 50.