Grade 2 AMO Practice Paper 1

Answer: C

Adding step by step: 4+16=20, 20+24=44, 44+36=80, 80+44=124, 124+56=180. The sum is 180. The answer is C.

Answer: C

Double of 25 is 50. One-third of 21 is 7. Their sum is 50+7=57. Subtracting this sum from 100 gives 100-57=43. The answer is C.

Answer: C

From 'Amy is older than Beth but younger than Carla': Carla > Amy > Beth. From 'David is older than Erwin but younger than Beth': Beth > David > Erwin. Combining: Carla > Amy > Beth > David > Erwin. The eldest child is Carla. The answer is C.

Answer: B

From 27th July to 6th September: July has 31 days, so from 27th July to 31st July is 4 days, then all of August is 31 days, then 1st to 6th September is 6 more days. Total = 4+31+6 = 41 days after 27th July (a Sunday). Since 41 = 7×5+6, that is 5 full weeks plus 6 extra days. Sunday + 6 days = Saturday. The answer is B.

Answer: B

Let the original number be x. Then x + 72 - 36 = 50, so x + 36 = 50, giving x = 14. The answer is B.

Answer: D

1-digit numbers with digit sum 5: just 5 itself (1 number). 2-digit numbers (tens digit a, units digit b, a+b=5, a from 1-9): 14, 23, 32, 41, 50 (5 numbers). 3-digit numbers from 100-199 (1+a+b=5, so a+b=4): 104, 113, 122, 131, 140 (5 numbers). 3-digit numbers from 200-299 (2+a+b=5, so a+b=3): 203, 212, 221, 230 (4 numbers). Total = 1+5+5+4 = 15. The answer is D.

Answer: D

Since the remaining three-fourths of the journey is covered by bus, the 10 m Roy walks must be the other one-fourth of the whole journey. So the whole journey = 10 ÷ (1/4) = 40 m. The answer is D.

Answer: B

Each of the 9 equal smaller squares has area 72÷9 = 8 m². So 5 such smaller squares have a combined area of 5×8 = 40 m². The answer is B.

Answer: D

Pouring the 150-ml jug three times adds 150×3=450 ml. Pouring the 50-ml jug three times adds 50×3=150 ml. Total poured in = 450+150=600 ml. Since the bottle holds 1 liter = 1000 ml, the amount still needed to fill it to the brim is 1000-600=400 ml. The answer is D.

Answer: C

Following the given example (D=4, O=15, G=7, written together as the digit string '4157'), each letter's position number is written out and the digit strings are concatenated. For SMART: S=19, M=13, A=1, R=18, T=20, giving the concatenated string '19'+'13'+'1'+'18'+'20' = 191311820. Summing its digits: 1+9+1+3+1+1+8+2+0 = 26. The answer is C.

Answer: C

From 1 a.m. to 1 p.m. is 12 hours = 720 minutes, during which the minute hand makes exactly 12 full revolutions around the clock face, passing each of the 12 numbers once per revolution. There are 6 even numbers (2,4,6,8,10,12), so the minute hand crosses an even number 6×12=72 times. In the same 12 hours, the hour hand makes exactly one full revolution around the face, passing each of the 12 numbers exactly once, so it crosses an even number 6 times. Total crossings = 72+6 = 78. The answer is C.

Answer: D

The printed Answer Key gives the answer as D (21). See this question's 'notes' field for a transparency note: an independent reading of the printed figure (a staircase-shaped solid consisting of one column of height 3 next to one column of height 2, each apparently 1 cube deep) contains only 5 unit cubes with no hidden cubes required for support, which does not resolve to 21 (nor to any of the other printed options) under standard cube-counting rules.

Answer: A

Each fan has 3 blades, so 150 fans have 150×3=450 blades. The answer is A.

Answer: A

Label the big left-pointing triangle's apex P, its left base vertex A, and its right base vertex B (far right, on the base line). Label the rectangle's corners TL (top-left), TR (top-right), BL (bottom-left), BR (bottom-right), with a diagonal drawn from TL to BR. The line from P to B enters the rectangle through its left side at a point X1, crosses the rectangle's diagonal at a point X2, and exits through the rectangle's right side at a point X3, before continuing on to B. The 5 distinct triangles are: (1) the big outer triangle A-P-B; (2) TL-BL-BR (using the rectangle's left side, bottom side, and diagonal); (3) TL-TR-BR (using the rectangle's top side, right side, and diagonal); (4) the small triangle TL-X1-X2 (bounded by the rectangle's left side, its diagonal, and line P-B); (5) the small triangle X2-X3-BR (bounded by line P-B, the rectangle's diagonal, and its right side). Total = 5 triangles. The answer is A.

Answer: C

The hundreds digit is 2. The tens digit is 5 more than the tens digit of 20 (which is 2), giving 2+5=7. The units digit is 1 less than 7, giving 6. So the number is 2 hundreds, 7 tens, 6 units = 276. The answer is C.