AMO - Grade 6
 
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AMO - Grade 6

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  1. Evaluate: (5 × 7 × 2 × 17) ÷ (14 × 34 × 35)
    A. 14
    B. 0.71
    C. 0.071
    D. 17
    E. $\frac{1}{17}$
  2. What is the value of $0^1$?
    A. 0
    B. 1
    C. ∞
    D. 10
    E. None of these
  3. A triangle has sides 35 cm, 37 cm, and 12 cm. Identify the type of triangle it is.
    A. Acute angle triangle
    B. Obtuse triangle
    C. Right-angled triangle
    D. It cannot be determined from knowing just the side lengths
    E. Open triangle
  4. A child gets $\$$10 pocket money every day. He saves $\$$1 on the first day, $\$$2 on the second day, $\$$3 on the third day, $\$$4 on the fourth day, and so on. On which day will he have saved enough to buy his sister a $\$$50 school bag?
    A. Day 50
    B. Day 25
    C. Day 9
    D. Day 10
    E. Day 5
  5. A photographer expands a photo diagonally in a software, to make it fit into a digital album. The bigger photo is neither squished nor stretched and looks proper. The original dimensions of the photo were 6 inches by 4 inches. Now the stretched photo is of the dimensions 12 inches by 𝑝 inches. Find the value of 𝑝.
    A. 8 inches
    B. 12 inches
    C. 10 inches
    D. 2 inches
    E. None of the above
  6. How many lines of symmetry does a parallelogram have?
    A. 1
    B. 2
    C. 3
    D. 4
    E. 0
  7. Evaluate: 32.345 + 32.435 − 23.435
    A. 88.215
    B. -23.435
    C. 41.345
    D. -23.525
    E. 23.345
  8. Assume that all sections within each of the given shapes are the same size. Consider only the area represented by the flower, the circle, etc. without including any surrounding area around it. Which figure has the smallest fraction of itself shaded?

    A. Shape a
    B. Shape b
    C. Shape c
    D. Shape d
    E. Shape e
  9. The number of shortest paths along a 3 × 3 grid from one corner to the diagonally opposite corner is:
    A. 1
    B. 2
    C. 3
    D. 6
    E. 12
  10. Look at the following table: Which two cars are going at the same speed?

    A. A & B
    B. B & C
    C. A & C
    D. A & D
    E. All are going at different speeds
  11. A paper is folded as shown below and punched in its folded state. When the paper is opened out again, what will be the pattern of holes formed?

  12. A sports club offers three sports – soccer, basketball and baseball. All their members play at least one sport. Which of the following Venn diagrams represents the members of the sports club? Assume that there are no limits to the number of sports one can play and that some people may be physically strong enough and able enough to play any or all sports.
  13. A rectangular park is to be fenced with a stone wall. There is a gate along the perimeter that is 2 m long, which is made of steel. Find the cost of fencing the park, if its dimensions are 100 m by 50 m. The entire perimeter may be taken to be the same height of 3 m. Take the cost of stone fencing as $\$$23 per $\text{m}^2$ and steel fencing as $\$$17 per $\text{m}^2$.
    A. $\$$10,384
    B. $\$$6,900
    C. $\$$20,700
    D. $\$$456
    E. $\$$20,664
  14. How many three-digit natural numbers are divisible by 5? Natural numbers are positive integers starting from 1.
    A. 200
    B. 201
    C. 180
    D. 198
    E. 199
  15. The interest on $\$$1200 is more than the interest on $\$$1000 by $\$$30 in 3 years. Find the rate of interest for each year.
    A. 5%
    B. 6%
    C. 5.5%
    D. 4%
    E. Cannot be found
  16. Evaluate: (45 × 37 × 27) ÷ 185
  17. Several people were surveyed for their preference from 4 drinks A, B, C, D. All the people surveyed are represented in the graph below. If the fraction of people who preferred A to those who preferred D is $\frac{𝑚}{𝑛}$, what is 𝑚 + 𝑛?
  18. Find the smallest integer, which when divided by 7 gives a remainder of 0, but when divided by 10 gives a remainder of 1.
  19. A steel cuboid is reshaped into a cube. Initially, its length, breadth, and depth were 270 cm, 100 cm, and 64 cm respectively. Find the sum of digits of the surface area of the cube.
  20. Two identical rectangular cards partially overlap. The area of overlap is a square with an area 4 $\text{cm}^2$, and the total area of the regions of the faces of the two cards that do not overlap is 12 $\text{cm}^2$. What is the area of one card?
  21. Find the sum of digits of the next number in the series: $$11, 143, 2431, 46189, ......$$
  22. The mean of four consecutive odd numbers is 24. Find the sum of the middle two numbers in this set.
  23. Find the largest four-digit number which when divided by 4, 7, and 13 leaves a remainder of 3 in each case.
  24. $2^{400}$ can be equivalently written as a repeated product of the number 16. For example, 16 × 16 × 16 × … (𝑛 times). What is the value of 𝑛?
  25. Theo’s football coaching starts at 6:30 am, and his mother wants him to wake up at 6 am to be on time for coaching. But currently, Theo wakes up late. Theo promises to wake up 5 minutes earlier than he did the day before. If Theo woke up at 6:50 am on a Sunday, and keeps his promise every day, on what day will he wake up on time for football coaching? Leave your answer as 0001 for Monday, 0002 for Tuesday, …, and 0007 for Sunday.


 
Posted : 19/06/2026 3:54 am
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