AMO Grade 5 – Tuyển chọn câu hỏi AMO – Lớp 5

AMO Grade 5

Week 1

Choose correct answer(s) from the given choices

(1) Complete the pattern:

(2) Olivia has pairs of orange socks, pairs of blue socks and pairs of yellow socks in a drawer. If she pulls out socks from the drawer without looking, how many socks she must draw to guarantee at least one pair of blue socks?

a) 43

b) 22

c)38

d) 30

(3) Kayden’s parents planted a tree on his birth. If the tree grows 1 inches per year, what is Kayden’s age today?

a) 13 years

b) 11 years

c) 10 years

d) 12 years

(4) If ‘÷’ means ‘×’, ‘+’ means ‘÷’, ‘-’ means ‘+’ and ‘×’ means ‘-’ find the value of expression:

2 ÷ 32 + 8 – 8 × 8 =

a) 8

b) 23

c) 7

d) 13

(5) Which pattern of letters matches with this figure pattern ?

a) G G G J J G J J

b) G G G J G G J J

c) G G G J J J J J

d) J G G J J G J J

Fill in the blanks

(6) There are three possible modes of transportation in a state. We can travel by river, by road, or by rail. The state has 3420 km of river, 12600 km of road, and 21060 km of rail. Taking the three ratios (distance covered by the networks of river:road, road:rail, and river:rail), the value of the highest consequent is ………

(7) If an angle is 1/11 times its supplement, then that angle is …………

Answer the questions

(8) Olivia is standing in a row. If she is 25th from the front and 9th from the back, how many people are standing in the row?

 

 

 

(10) Zachary walked 10 km from his house to the west , then turned left and walked 15 km. He then turned east and walked 25 km. He again turned left and walked 15 km. How far is he from his house?

Week 2

Choose correct answer(s) from the given choices

(1) Find the next number in the sequence.

7, 8, 9, 13, 14, 15, 19, 20, 21, ….

a. 22           b. 26         c. 24                 d. 25

(2) How many months in a year have exactly 31 days?

a. 9         b. 5       c. 7           d. 6

(3) A frog has fallen into a ditch which is 12 meter deep. Each day the frog climbs 4 meter and than falls back by 2 meter. In how many days will the frog reach the top?

a. 4          b. 7        c. 5            d. 6

Fill in the blanks

(4) Dylan buys 1050 kilograms of eggplant from a farm at a price of $15.04 per kg. However, during his travel to the market he finds 6% of the eggplant have spoiled. If he now sells each kilogram of eggplant at $16.96, his profit percentage would be …….. %.

(5) Using the rule between IN and OUT, fill the missing number.

IN 29 13 10 22 22 16
OUT 174 91 80 ……. 220 176

Answer the questions

(6) There are three possible modes of transportation in a state. We can travel by rail, by river, or by road. The state has 5000 km of rail, 15200 km of river, and 20200 km of road. Taking the three ratios (distance covered by the networks of rail:river, river:road, and rail:road), what is the value of the highest consequent?

(7) What fraction of the image is unshaded?

(8) Find the next number in the sequence.

9, 10, 11, 15, 16, 17, 21, 22, 23, 27, 28, 29, ….

(9) If the width of a rectangle is 161 cm and the perimeter of the rectangle is 9.1 m, then what is the ratio of the width of the rectangle to its length?

(10) An article with price tag of $800 is sold at 20% discount. Due to off-season, the shopkeeper provides an additional discount of 20% on the discounted price. Find the selling price of the article.

Week 3

Choose correct answer(s) from the given choices

(1) What is the minimum number of line segments required to make letter Z ?
a. 5          b. 2         c. 3           d. 4

(2) Nur buys 800 kilograms of lettuce from a farm at a price of $13.16 per kg. However, during her travel to the market she finds 6% of the lettuce have spoiled. If she now sells each kilogram of lettuce at $15.12. Find her profit percentage.

a. 8 %            b. 45 %           c. 4 %              d. 11 %

(3) What do we call the pair of numbers whose HCF is 1?

a. Twin Primes                  b. Co-prime
c. Composite numbers     d. Prime Numbers

(4) If today is Wednesday, what will be the day after 41 days?

a. Tuesday        b. Wednesday
c. Monday         d. Friday

(5) What is the 22nd term of the series 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5 ….

a. 9           b. 7       c. 8         d. 6

Fill in the blanks

(6) There are three possible modes of transportation in a state. We can travel by road, by rail, or by river. The state has 4200 km of road, 11800 km of rail, and 22600 km of river. Taking the three ratios (distance covered by the networks of road:rail, rail:river, and road:river), the value of the highest consequent is ……..

(7) If all the letters of the English alphabet are written in reverse order, the letter at the 8th place to the right of letter N will be ………

Answer the questions

(9) Tiffany is arranging the tiles as shown below, if she continues it the same way, how many tiles will be there in the next column of grey tiles?

(10) Charlotte remembers that her father’s birthday is after 12th but before 19th of January. Her sister Giselle remembers that her father’s birthday is before 23rd and after 17th of January. On which date of January is their father’s birthday?

Week 4

Choose correct answer(s) from the given choices

(1) The following table shows the number of cars manufactured by two companies in 4 days.

Which of the following statements is true?

a. In the first two days Company A manufactured fewer cars than Company B.

b. In the first and last day together Company A manufactured more cars than Company B.

c. In the last two days Company A manufactured fewer cars than Company B.

d. In 4 days Company A manufactured more cars than Company B.

(2) Which of the following makes a number pattern?

a. 4, 8, 11, 15, 19, 23, 27, …

b. 1, 3, 4, 6, 8, …

c. 3, 9, 16, 22, …

d. 4, 10, 16, 22, 28, 34, 40, 46, …

(3)


How many blocks will be there in the next figure?

a. 20    b. 21    c. 22    d. 27

(4) Find the rule for the pattern given below:

140 150 160 170 180 190 200

a. Counting by 20      b. Counting by 15
c. Counting by 10      d. Counting by 50

(5) Eva gets paid daily for the work she does and she does not work on Sundays. Last year which was not a leap year had 52 Sundays. She got $ 301419 as her annual salary last year. If the April of last year had 4 Sundays, how much did she earn in that month?

a. $ 28890    b. $ 25038
c. $ 26001    d. $ 24075

(6) The following table shows the number of books read by Megan and Isaac in 4 weeks.

Which of the following statements is not true?

a. In the first and last week together Megan and Isaac read the same number of books.
b. In the first two weeks Megan read fewer books than Isaac.
c. In the last two weeks Megan read more books than Isaac.
d. In 4 weeks Megan read fewer books than Isaac.

Fill in the blanks

(7) A car travels 133 km in a full tank of capacity 19 litres. The mileage (number of kilometers it can travel per litre of petrol) of the car is ……… kmpl.

(8) There are triangles in the figure shown below.

Answer the questions

(9) (2% of 30) − (30% of 2) = ?

(10) + + + + = 55
+ = 20
Find the value of  +  + + + .

Week 5

Choose correct answer(s) from the given choices

(1) Find the missing number.

a. 2       b. 4
c. 6       d. 3

(2) How many small cubes are required to create this solid shape?

a. 27       b. 24
c. 23       d. 26

(3) How many times during a 12 hour period does the hour hand and the minute hand of the clock cross each other?

a. 6          b. 8
c. 12        d. 11

(4) A clock shows 10:30 as the time. Kayden rotated the clock (without touching the hands of the clock) such that the hour hand points to South-East, in what direction does the minute hand point?

a. North-West        b. North-East
c. South                 d. North

Fill in the blanks

(5) At least ……….. line segments are required to make letter A.

(7) Sarah has pairs of black socks, pairs of blue socks and pairs of purple socks in a drawer. If she pulls out socks from the drawer without looking, ……….. socks must be drawn to guarantee at least one pair of blue socks.

Answer the questions

(8) The number of days left in the month of November are four times the number of days already passed. How many days are left in the month of November?

(9) The day after tomorrow is my brother’s birthday. On the same day next week is the festival of Dussera. If today is Monday, what will the day after Dussera be?

Week 6

Choose correct answer(s) from the given choices

(1) The train-station is 9 km North-East of the zoo, and the school is 9 km South-East of the zoo. The school is in which direction of the train-station?

a. South-East      b. South
c. North               d. South-West

(2) Which of the following letters has a horizontal line of symmetry?

a. G            b. X
c. T             d. None of these

Fill in the blanks

(3) Take away one tenths three times from 1 and you are left with .(Write answer in decimals)

(4) Find the next number in the sequence.

6, 7, 8, 12, 13, 14, 18, 19, 20, ……..

(6) Tristan buys 35 sacks of foodgrains, but has to sell it all at a loss. He sells it at 4/7 of the price he bought it at, and gets $38730. If instead, he wants to make a profit of 2/5 over the price he bought it at, then he has to sell the whole lot at $……….. .

Check True/False

(7) 41 is the next number in following series.

2, 6, 11, 17, 24, 32, …

a. True          b. False

Answer the questions

(8) Isaac calculates that he has 94608000 seconds left before he turns 18 and can vote in the elections. How old is he now?

(9) 30% of 40% of 1000 = ?

(10) How many months in a year have exactly 30 days?

 

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