AMO 2027 Grades 2-3 SET 26 - Self-study

Solve: $826-(626-529)+201$.



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From a book with pages numbered 1 to 300, all pages whose numbers contain the digit 2 are removed. How many pages remain?

Use the source counting model: remove individual numbered pages; do not additionally remove the page printed on the reverse side of a physical sheet.



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How many whole numbers less than 300 have digits that add up to 5?



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Count the blocks in the original picture. Treat each stack as solid, including blocks hidden behind the visible ones.



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If the last day of May is a Friday, what day is the 1st of April in that same year?



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In the original row below, every four consecutive cells have sum 20. Find $X+Y$.



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A 4 cm × 4 cm × 4 cm cube is made of 1 cm × 1 cm × 1 cm cubes. The large cube is painted blue on all six outside faces. How many small cubes have exactly one face painted?



Enter one whole number, without units.

Carry took an afternoon nap for 35 minutes. She woke up at 4:00 pm. What time did she fall asleep? Write four digits in 12-hour HHMM format, with a leading zero if needed. For example, 1:50 am or 1:50 pm is written 0150.



Enter the four-digit time code, without a colon or am/pm.

Find the sum: $4+16+24+36+44+56$.



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What is the hundreds digit of $40444+44044+44404+44440$?



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The letters a a b b b c c d repeat in this order: a a b b b c c d a a b b b c c d … . How many b’s appear before the 1000th letter? “Before” excludes the 1000th position.



Enter one whole number, without units.

Find P in the original boxes. Use the intended common rule: multiply the left and middle bottom numbers, then subtract the right bottom number to obtain the top number.



Enter one whole number, without units.

How many rectangles of any size are in the original figure? Count rectangles whose four sides are completely drawn, including the outer boundary and squares.



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A rectangle has perimeter 144 cm. Its length is three times its breadth. What is the difference between its length and breadth, in centimetres?



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Olivia gave 18 cookies to Lara. Now Lara has twice as many cookies as Olivia. They had 105 cookies in total at first. How many cookies did Olivia have at first? No cookies were eaten or lost.



Enter one whole number, without units.