Grade 3 Kangaroo math worksheet with multiple choice questions covering various topics like patterns, fractions, and word problems.
Multiple choice questions on math and logic for Grade 3 Kangaroo competition, including problems on marbles, dolls, sharpeners, letter patterns, age calculation, fractions, and animal legs.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 3 - Kangaroo Math Competition | Preparation, Online Practice ...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 3 - Kangaroo Math Competition | Preparation, Online Practice ...
Here are the step-by-step solutions for each question on the worksheet.
(1) Wojtek puts 5 pink, 7 green, 4 black and 2 yellow marbles in a bag. What is the most occurring colour to come out from the bag?
To find the most likely color, we look for the number that is the biggest.
* Pink: 5
* Green: 7
* Black: 4
* Yellow: 2
The number 7 is the largest. Since there are more green marbles than any other color, you have the best chance of picking a green one.
Answer: Green
***
(2) Lena has half as many dolls as Kuba has. Altogether they have 9 dolls. How many dolls did Lena has?
Let's think about this using parts.
* Lena has 1 part (half).
* Kuba has 2 parts (twice as much as Lena).
* Together, they have $1 + 2 = 3$ parts.
We know the total is 9 dolls. So, we divide the total by the number of parts:
$9 \div 3 = 3$.
This means 1 part equals 3 dolls. Since Lena has 1 part, she has 3 dolls.
(Check: If Lena has 3, Kuba has 6. $3 + 6 = 9$. This is correct.)
Answer: 3
***
(3) 7 students are sharing 63 sharpeners. How many sharpeners will each student get?
We need to share 63 items equally among 7 people. We use division:
$63 \div 7 = ?$
Think of your multiplication tables: $7 \times 9 = 63$.
So, $63 \div 7 = 9$.
Answer: 9
***
(4) Which one of the following letter patterns follows the same rule as the shape pattern shown?
Look at the shapes: Blue Star, Yellow Star, Green Triangle, Purple Diamond.
Then it repeats: Blue Star, Yellow Star, Green Triangle, Purple Diamond.
Then it starts again: Blue Star, Yellow Star...
The pattern is a group of 4 things repeating: A, B, C, D, A, B, C, D, A, B...
Let's check the options:
* a. R P Q R S P Q R S P Q -> The groups don't match perfectly.
* b. Q P Q R S P Q R S P Q -> Starts with Q, then P, then Q. Doesn't match the A-B-C-D start.
* c. P Q R S P Q R S P Q -> Here, P is A, Q is B, R is C, S is D. It goes P-Q-R-S, then P-Q-R-S, then P-Q. This matches the rule perfectly.
* d. P Q R S Q P Q R S R P Q -> The second group changes order.
Answer: c. PQRSPQRSPQ
***
(5) Klara was born on 24 October in the year 2008. How old will she be on 24 October in the year 2034?
To find her age, subtract her birth year from the future year.
$2034 - 2008 = ?$
$2034 - 2000 = 34$
$34 - 8 = 26$
She will be 26 years old.
Answer: c. 26
***
(6) Marcin makes 5 equal pieces of pear. He eats 4 out of them. Which one of the following equation shows the part he eats?
Marcin has 5 pieces total, so the bottom number (denominator) must be 5.
He eats 4 pieces, so the top number (numerator) must be 4.
The fraction is $\frac{4}{5}$.
We can also write this as adding four $\frac{1}{5}$s together:
$\frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} = \frac{4}{5}$
Let's look at the choices:
* a. Adds four $\frac{1}{5}$s to get $\frac{4}{5}$. This is correct.
* b. Equals $\frac{1}{20}$. Incorrect.
* c. Uses denominator 4. Incorrect.
* d. Numerators are different numbers. Incorrect.
Answer: a. $\frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} = \frac{4}{5}$
***
(7) There are 38 legs in a group of goats and hens. How many goats and hens are there?
* Goats have 4 legs.
* Hens have 2 legs.
Let's test the answers provided:
* a. 13 goats, 3 hens: $(13 \times 4) + (3 \times 2) = 52 + 6 = 58$ legs. (Too many)
* b. 11 goats, 3 hens: $(11 \times 4) + (3 \times 2) = 44 + 6 = 50$ legs. (Too many)
* c. 7 goats, 3 hens: $(7 \times 4) + (3 \times 2) = 28 + 6 = 34$ legs. (Too few)
* d. 8 goats, 3 hens: $(8 \times 4) + (3 \times 2) = 32 + 6 = 38$ legs. (Correct!)
Answer: d. 8 goats, 3 hens
***
(8) Ruslan walks to school every day. Which one of following is the best describes how long time Ruslan takes to walk to school?
The question asks about "how long time".
* Inches, Centimeters, and Meters are used to measure distance or length, not time.
* Minutes are used to measure time.
Answer: b. Minutes
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Final Answer:
(1) Green
(2) 3
(3) 9
(4) c
(5) c
(6) a
(7) d
(8) b
(1) Wojtek puts 5 pink, 7 green, 4 black and 2 yellow marbles in a bag. What is the most occurring colour to come out from the bag?
To find the most likely color, we look for the number that is the biggest.
* Pink: 5
* Green: 7
* Black: 4
* Yellow: 2
The number 7 is the largest. Since there are more green marbles than any other color, you have the best chance of picking a green one.
Answer: Green
***
(2) Lena has half as many dolls as Kuba has. Altogether they have 9 dolls. How many dolls did Lena has?
Let's think about this using parts.
* Lena has 1 part (half).
* Kuba has 2 parts (twice as much as Lena).
* Together, they have $1 + 2 = 3$ parts.
We know the total is 9 dolls. So, we divide the total by the number of parts:
$9 \div 3 = 3$.
This means 1 part equals 3 dolls. Since Lena has 1 part, she has 3 dolls.
(Check: If Lena has 3, Kuba has 6. $3 + 6 = 9$. This is correct.)
Answer: 3
***
(3) 7 students are sharing 63 sharpeners. How many sharpeners will each student get?
We need to share 63 items equally among 7 people. We use division:
$63 \div 7 = ?$
Think of your multiplication tables: $7 \times 9 = 63$.
So, $63 \div 7 = 9$.
Answer: 9
***
(4) Which one of the following letter patterns follows the same rule as the shape pattern shown?
Look at the shapes: Blue Star, Yellow Star, Green Triangle, Purple Diamond.
Then it repeats: Blue Star, Yellow Star, Green Triangle, Purple Diamond.
Then it starts again: Blue Star, Yellow Star...
The pattern is a group of 4 things repeating: A, B, C, D, A, B, C, D, A, B...
Let's check the options:
* a. R P Q R S P Q R S P Q -> The groups don't match perfectly.
* b. Q P Q R S P Q R S P Q -> Starts with Q, then P, then Q. Doesn't match the A-B-C-D start.
* c. P Q R S P Q R S P Q -> Here, P is A, Q is B, R is C, S is D. It goes P-Q-R-S, then P-Q-R-S, then P-Q. This matches the rule perfectly.
* d. P Q R S Q P Q R S R P Q -> The second group changes order.
Answer: c. PQRSPQRSPQ
***
(5) Klara was born on 24 October in the year 2008. How old will she be on 24 October in the year 2034?
To find her age, subtract her birth year from the future year.
$2034 - 2008 = ?$
$2034 - 2000 = 34$
$34 - 8 = 26$
She will be 26 years old.
Answer: c. 26
***
(6) Marcin makes 5 equal pieces of pear. He eats 4 out of them. Which one of the following equation shows the part he eats?
Marcin has 5 pieces total, so the bottom number (denominator) must be 5.
He eats 4 pieces, so the top number (numerator) must be 4.
The fraction is $\frac{4}{5}$.
We can also write this as adding four $\frac{1}{5}$s together:
$\frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} = \frac{4}{5}$
Let's look at the choices:
* a. Adds four $\frac{1}{5}$s to get $\frac{4}{5}$. This is correct.
* b. Equals $\frac{1}{20}$. Incorrect.
* c. Uses denominator 4. Incorrect.
* d. Numerators are different numbers. Incorrect.
Answer: a. $\frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} = \frac{4}{5}$
***
(7) There are 38 legs in a group of goats and hens. How many goats and hens are there?
* Goats have 4 legs.
* Hens have 2 legs.
Let's test the answers provided:
* a. 13 goats, 3 hens: $(13 \times 4) + (3 \times 2) = 52 + 6 = 58$ legs. (Too many)
* b. 11 goats, 3 hens: $(11 \times 4) + (3 \times 2) = 44 + 6 = 50$ legs. (Too many)
* c. 7 goats, 3 hens: $(7 \times 4) + (3 \times 2) = 28 + 6 = 34$ legs. (Too few)
* d. 8 goats, 3 hens: $(8 \times 4) + (3 \times 2) = 32 + 6 = 38$ legs. (Correct!)
Answer: d. 8 goats, 3 hens
***
(8) Ruslan walks to school every day. Which one of following is the best describes how long time Ruslan takes to walk to school?
The question asks about "how long time".
* Inches, Centimeters, and Meters are used to measure distance or length, not time.
* Minutes are used to measure time.
Answer: b. Minutes
──────────────────────────────────────
Final Answer:
(1) Green
(2) 3
(3) 9
(4) c
(5) c
(6) a
(7) d
(8) b
Parent Tip: Review the logic above to help your child master the concept of math kangaroo grade 1.