A school wants to tile a square courtyard. The total area is 484 m². If the cost of one tile is ₹25, find the total cost.
  • ₹12,100
  • ₹10,000
  • ₹15,000
  • ₹20,000
A warehouse stacks small cubes of goods to form a larger cube. Each side of the big cube has 5 boxes. How many small boxes are used in total?
  • 125 boxes
  • 25 boxes
  • 100 boxes
  • 64 boxes
A warehouse stacks small cubes of goods to form a larger cube. Each side of the big cube has 5 boxes. If each box weighs 2 kg, what is the total weight?
  • 250 kg
  • 100 kg
  • 125 kg
  • 200 kg
What happens to the total number if the side increases to 6 boxes?
  • The total number becomes 216 boxes.
  • The total number becomes 36 boxes.
  • The total number becomes 120 boxes.
  • The total number becomes 64 boxes.
A teacher wants to arrange students in a square formation for an activity. There are 50 students. Can the students form a perfect square arrangement? Why?
  • No, because 50 is not a perfect square.
  • Yes, because 50 is a perfect square.
  • Yes, because any number can form a square.
  • No, because 50 is an even number.
A teacher wants to arrange students in a square formation for an activity. There are 50 students. What is the nearest perfect square less than 50?
  • 49
  • 36
  • 25
  • 16
A teacher wants to arrange students in a square formation for an activity. There are 50 students. How many students will be left out?
  • 1 student
  • 0 students
  • 2 students
  • 3 students
An LED panel has 144 lights arranged in a square pattern. How many lights are in each row?
  • 12
  • 10
  • 14
  • 16
If 25 more lights are added, can it still form a perfect square?
  • Yes, it can form a perfect square.
  • No, it cannot form a perfect square.
  • It will form a rectangle instead.
  • It will form a triangle instead.
An LED panel has 144 lights arranged in a square pattern. Suggest the next possible perfect square arrangement.
  • 169 lights (13 x 13)
  • 150 lights (12 x 12.5)
  • 196 lights (14 x 14)
  • 160 lights (10 x 16)
How many numbers lie between the squares of the following numbers? (i) 18 and 19
  • 36 numbers ( = 36)
  • 37 numbers ( = 37)
  • 35 numbers (19^2 - 18^2 - 2 = = 361 - 324 - 2 = 35)
  • 38 numbers ( = 38)
How many numbers lie between the squares of the following numbers? (ii) 98 and 99
  • 195 numbers (99^2 - 98^2 - 1 = = 196)
  • 196 numbers (99^2 - 98^2 = = 9801 - 9604 = 197)
  • 194 numbers (99^2 - 98^2 - 2 = - 2 = 195)
  • 200 numbers (\katex{99^2 - 98^2 + 1} = \katex{9801 - 9604 + 1} = 198)
A cube can end with exactly two zeroes (00). Is this possible?
  • No, a cube cannot end with exactly two zeroes.
  • Yes, a cube can end with exactly two zeroes.
  • Only some cubes can end with exactly two zeroes.
  • A cube can end with any number of zeroes.
Determine the value of the following expression: 91+93+95+97+99+101+103+105+107+109.
  • 900
  • 1000
  • 1100
  • 950
The number of terms in the sum is important in identifying the cube number because:
  • The number of terms gives the cube root since each cube is formed by adding n consecutive odd numbers.
  • The number of terms gives the square root since each square is formed by adding n consecutive even numbers.
  • The number of terms gives the sum of all even numbers up to n.
  • The number of terms gives the product of n and its next integer.
He computes the differences between consecutive terms repeatedly until all the differences become the same. 1. Find the first level, second level, and third level differences of the given sequence: 1, 8, 27, 64, 125, 216.
  • First level differences: 7, 19, 37, 61, 91 Second level differences: 12, 18, 24, 30 Third level differences: 6, 6, 6
  • First level differences: 7, 17, 37, 61, 91 Second level differences: 10, 20, 24, 30 Third level differences: 5, 6, 7
  • First level differences: 7, 19, 37, 61, 91 Second level differences: 14, 18, 22, 26 Third level differences: 4, 4, 4
  • First level differences: 8, 20, 38, 62, 92 Second level differences: 12, 18, 24, 30 Third level differences: 6, 6, 6
At which level do the differences become constant? What is the constant value?
  • The differences become constant at the third level. The constant value is 6.
  • The differences become constant at the second level. The constant value is 4.
  • The differences become constant at the fourth level. The constant value is 8.
  • The differences become constant at the first level. The constant value is 2.
He computes the differences between consecutive terms repeatedly until all the differences become the same. 3. Compare your result with the pattern of perfect squares. What similarity or difference do you observe? Comparison with perfect squares: For squares (1, 4, 9, 16, 25): a) First differences: 3, 5, 7, 9 b) Second differences: 2, 2, 2 Squares → constant at 2nd level Cubes → constant at 3rd level. What is the main similarity or difference between the sequence of cubes and the sequence of squares regarding their differences?
  • Both sequences reach a constant difference, but at different levels.
  • Both sequences reach a constant difference at the same level.
  • Only the sequence of squares reaches a constant difference.
  • Neither sequence reaches a constant difference.
What conclusion can you draw about the relationship between the degree of a number pattern (square, cube, etc.) and the level at which differences become constant?
  • The level at which differences become constant matches the degree of the pattern (e.g., 2nd level for squares, 3rd for cubes).
  • The level at which differences become constant is always the first level, regardless of the pattern.
  • The level at which differences become constant is always one less than the degree of the pattern.
  • The level at which differences become constant is unrelated to the degree of the pattern.
He computes the differences between consecutive terms repeatedly until all the differences become the same. Predict the next number in the sequence: 1, 8, 27, 64, 125, 216. Continue the pattern using the differences.
  • 343
  • 512
  • 400
  • 300
0 h : 0 m : 1 s

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