Question bank SASMO 2014

What is $2014+2\times0\times1\times4$ equal to?

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Ten lampposts are equally spaced along a straight line. The distance between two consecutive lampposts is 40 m. What is the distance between the first and the last lampposts?

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Find the next term of the following sequence: $1,1,2,3,5,\ldots$

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Jane wrote the word STUDENTS thrice. How many times did she write the letter S?

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What number between 37 and 47 is exactly divisible by both 2 and 3?

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A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Ali has enough money to buy only 7 sweets. What is the biggest number of sweets that he can get from the shop?

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There are 14 children playing “The eagle catches the chicks.” One is the “eagle” and another is the “mother hen”; the rest are “chicks”. After a while, the eagle has caught 5 chicks. How many chicks are still running around?

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Find the number $A$ such that $7\times A=3\times8+4\times8$.

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Two 1-dollar coins and ten 50-cent coins are randomly distributed among 4 children so that each child receives the same number of coins. What is the difference between the biggest amount and the smallest amount a child can receive?

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Tim is 8 years old and Sally is 4 years old. How old will Sally be when Tim is 14 years old?

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In the alphametic shown in the source excerpt, different letters stand for different digits. Find $P$ and $I$.

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A box contains 4 balls of different colours (red, green, yellow and blue) lying in a row. The green ball is not second. The red ball is neither first nor last. The yellow ball is next to neither the red ball nor the blue ball. What is the order of the balls?

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A teacher has a bag of sweets. If she gave 5 sweets to each student, 40 sweets would be left. If she gave 6 sweets to each student, 5 sweets would be left. How many students and how many sweets are there?

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Each figure is formed by surrounding one row of black squares with white squares. How many white squares will surround one row of 50 black squares?

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The diagram shows 9 points. Draw 4 consecutive line segments (the next segment starts where the previous one ends) to pass through all 9 points.

Jane is 9 years old and John is 5 years old. How old will John be when Jane is 15 years old?

A textbook is opened at random. To what pages is it opened if the product of the facing pages is 110?

Find the number $B$ such that the following statement is true:

$$8\times B=3\times9+5\times9.$$

It is given that $a\otimes b=a\times b+a-b$. For example, $2\otimes3=2\times3+2-3=5$. Find the value of $4\otimes3-3\otimes4$.

Jane has a rope of length 23 cm. She wants to cut the rope so that she can form the biggest possible square, where the length of each side, in cm, is a whole number. What is the length of the rope that she must cut to form the square?