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SIMOC 2019 - Grade 4

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  1. Find the value of 87 × 27 + 72 × 87 + 87.
    A. 2700
    B. 7200
    C. 8700
    D. 9700
    E. None of the Above
  2. I am thinking of a number. First, I multiply it by 2, then add 14 to the result. Then divide the sum by 7 and subtract 3 from the result. I will get 9 as my final answer. What number am I thinking of?
    A. 35
    B. 14
    C. 21
    D. 42
    E. None of the Above
  3. Study the pattern below.

    What is the value of A?
    A. 28
    B. 82
    C. 68
    D. 64
    E. None of the above
  4. Figure 1 is called a “stack map.” The numbers tell how many cubes are stacked in each position. Figure 2 shows these cubes, and Figure 3 shows the view of the stacked cubes as seen from the front.

    Which of the following is the front view for the stack map in Figure 4?
  5. A “funny number” is a number formed by writing two digits followed by their product. For example, 6 × 7 = 42, so 6742 and 7642 are “funny numbers”. The first digit of a “funny number” cannot be a 0. What is the difference between the largest and smallest “funny number?”
    A. 9837
    B. 9541
    C. 9581
    D. 9081
    E. 9881
  6. In a certain month, the number of Thursdays is more than the number of Wednesdays. Also, the number of Sundays is less than the number of Saturdays. On what day of the week will the 27th of that month fall?
    A. Monday
    B. Tuesday
    C. Wednesday
    D. Friday
    E. Sunday
  7. What is the remainder when the number $\underset{101s}{\underbrace{1111111111}}$ is divided by 7?
    A. 3
    B. 4
    C. 5
    D. 6
    E. None of the Above
  8. A boy always tells the truth on Mondays and Tuesdays, always tells lies on Saturday, and tells either truth or lies on the rest of the days of the week. For six days in a row, he was asked what his name was and he gave the following answers: Tom, Brad, Tom, John, Brad, John. What is the boy’s name?
    A. Tom
    B. Brad
    C. John
    D. Brad or John
    E. Impossible to determine
  9. Study the pattern below.

    What is the value of 10 ⨂ 4 ?
    A. 10
    B. 14
    C. 40
    D. 50
    E. None of the above
  10. If a digit 𝑎 is added to the left of the one-digit number 8 and a digit 𝑏 is added to the right of it, a 3-digit number 𝑎8𝑏 is formed. If this number 𝑎8𝑏 is a multiple of 3, what is the largest possible product 𝑎 × 𝑏?
    A. 8
    B. 56
    C. 84
    D. 96
    E. None of the Above
  11. Ann, Betty and Clare, each bought beads from a market. Ann bought 400 beads more than Betty. The total number of beads of Ann and Betty bought were 900 more than Clare’s. If the three of them bought 4500 beads in total, how many beads did Clare buy?
    A. 1150
    B. 1550
    C. 1800
    D. 2700
    E. None of the Above
  12. The temperature relationship between degrees Celsius (C) and degrees Fahrenheit (F) is given by $\frac{9}{5}$ × 𝐶 + 32 = 𝐹. For example, 20° Celsius is equal $\frac{9}{5}$ × 20 + 32 = 68° Fahrenheit. At what degree Celsius will the value of the temperature in degrees Fahrenheit be exactly 5 times the value of the temperature in degrees Celsius?
    A. 10
    B. 20
    C. 30
    D. 40
    E. 50
  13. $\frac{3}{5}$ of the marbles in Box B are equal in number to $\frac{6}{7}$ of the marbles in Box U. There is a total of 85 marbles in the 2 boxes. How many marbles are there in Box U?
    A. 35
    B. 50
    C. 60
    D. 70
    E. None of the Above
  14. It takes 2 goats and 3 cows 6 days to eat 2 acres of grass. It takes 6 goats and 5 cows 10 days to eat 8 acres of grass. How many days will it take 8 goats and 8 cows to eat 17 acres of grass?
    A. 5
    B. 12
    C. 15
    D. 17
    E. None of the Above
  15. At a snack bar, the cost of 7 sandwiches, 5 drinks and 1 dessert is $\$32$, while the cost of 10 sandwiches, 7 drinks, and 1 dessert is $\$45$. Find the cost of 1 sandwich, 1 drink, and 1 dessert.
    A. $\$6$
    B. $\$7$
    C. $\$7.50$
    D. $\$19$
    E. None of the Above
  16. Study the pattern.

    What is the value of $x$?
  17. ABCD is a square of side length 12 cm. Point L is any point on side AB. Points H and I divide side AD into three equal parts. Points J and K also divide side BC into three equal parts. Finally, points G, F and E divide side DC into four equal parts. Find the total area (in $\text{cm}^2$) of the shaded region.
  18. The numbers 11, 12, 13, 14, 15, 16, 17, 18 and 19 are placed in the 9 boxes shown below. The numbers 15, 16, and 19 have been placed accordingly. If the sum of the numbers placed horizontally is equal to the sum of the numbers placed vertically, what is the sum of all possible values of 𝑎?
  19. Calculate the following $$192\times(\frac{1}{4\times 7}+\frac{1}{7\times 10}+\frac{1}{10\times 13}+\frac{1}{13\times 16})$$
  20. Tom made number 869 using 19 matchsticks as shown below. He wants to construct the greatest possible four-digit number by moving exactly three matches. Find this greatest possible value.

    (The figures of all the digits from 0 to 9 are shown below.)
  21. Several commuters were on a bus when it started its journey from a bus interchange. At the first bus stop, 2 more than 1/3 of the commuters alighted. At the second bus stop, 4 more than 1/3 of the remaining commuters alighted. At the third bus stop, 8 more than 1/3 of the remaining commuters alighted. Then the bus was left with 16 commuters. How many commuters boarded the bus at the bus interchange?
  22. If a three-digit number $\overline{a1b}$ is 9 times the 2-digit number $\overline{ab}$, find the number $\overline{ab}$.
  23. The number of my house is a 4-digit number. One day, on my way home, I accidentally turned the number of my house upside down. I noticed that the new number formed by turning it upside down is bigger than the original number by 4872. What is the number of my house?
  24. Find the value of $$2 + 4 + 8 + ⋯ + 512 + 1024$$
  25. All the sides of the figure below meet at right angles. Use the numbers 1, 2, 3, 4, 5, 6, 7 and 8 to represent the sides $a, b, c, d, e, f, g$ and $h$ in some order. Find the largest possible area of the figure.


 
Posted : 18/06/2026 2:57 am
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Keranjang Belanja
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