Class VI – Mathematics - Half Yearly Sample Paper
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Class 6 Maths Sample Paper | Half Yearly Exam Preparation
Class 6 Maths Half Yearly Sample Paper
Are you looking for a Class 6 Maths Half Yearly Sample Paper
for exam preparation? This Mathematics sample paper from
The Busy Brains is designed to provide students with
valuable practice for their Class 6 Mathematics Half Yearly Examination.
The paper includes a variety of questions based on important mathematical concepts
such as patterns, lines and angles, number play, data handling and presentation,
and prime numbers.
This Class 6 Maths practice paper contains
MCQs, True or False questions, short-answer questions,
problem-solving questions and higher-order thinking questions.
It is useful for students who want to revise their concepts,
improve mathematical reasoning and practise different question formats
before their half yearly examination.
Teachers and parents can also use this
Class 6 Mathematics sample question paper
as a revision worksheet, classroom practice paper or home practice resource.
Students are encouraged to solve the complete paper independently
and check their understanding of the different topics covered.
Topic Covered:
Patterns in Mathematics, Lines and Angles, Number Play,
Data Handling and Presentation, Prime Time
SECTION A
Q1. Tick the correct option
i) When the All 1's sequence is added successively, which number sequence is obtained?
a) Counting numbers
b) Odd numbers
c) Square numbers
d) Cube numbers
ii) When counting numbers are added successively, which number sequence is obtained?
a) Prime numbers
b) Triangular numbers
c) Odd numbers
d) Powers of 2
iii) When the opening of a door is described by an angle, the vertex is at the:
a) Handle
b) Hinge
c) Door frame top
d) Floor
iv) The Ashoka Chakra has 24 equally spaced spokes. The angle between two adjacent spokes is:
a) 10 degrees
b) 15 degrees
c) 20 degrees
d) 24 degrees
v) In the Collatz process, the number that comes immediately after 100 is:
a) 50
b) 99
c) 101
d) 301
vi) If an odd number n occurs in the Collatz process, the next number is:
a) n divided by 2
b) 2n
c) 3n + 1
d) n + 3
vii) In a pictograph, one kite symbol represents 100 kites. How many full symbols represent 300 kites?
viii) Which bar orientation is generally more suitable for comparing the heights of the tallest persons?
a) Vertical bars
b) Horizontal bars
c) Circular bars
d) No bars
ix) Which number between 1 and 10 is a perfect number?
x) The smallest difference between two successive prime numbers up to 100 is:
Q2. State True or False
a) Adding the All 1's sequence successively gives the counting numbers.
b) Adding the counting numbers successively gives the triangular numbers.
c) For an opened door, the hinge acts as the vertex of the angle.
d) Two perpendicular creases through the same point form four right angles.
e) A 4-digit number plus a 2-digit number always gives a 6-digit number.
f) Every power of 2 reaches 1 in the Collatz process by repeated halving.
g) A sweet-frequency table alone tells which sweet each individual child selected.
h) A vertical bar graph is generally more intuitive for comparing heights.
i) A product of prime numbers can also be a prime number.
j) Prime numbers do not have any factors.
SECTION B
Q3. Which sequence is obtained when the All 1's sequence is added successively? Which sequence is obtained when it is added up and then down?
Q4. Explain how the amount by which a door is opened can be expressed using an angle. Identify the vertex and the two arms of this angle.
Q5. Fold a sheet of paper to make one crease. Make another crease perpendicular to the first. How many right angles are formed? Give a reason.
Q6. Count how many times the digit 7 occurs while writing all numbers from 1 to 100. Then predict and verify how many times it occurs from 1 to 1000.
Q7. Estimate how many litres each of the following can hold: a mug, a bucket and an overhead water tank.
Q8. A class records only the frequency of each favourite sweet. Is this table sufficient to distribute the correct sweet to every child? Explain and suggest a better way to record the data.
Q9. Solve the number riddles:
a) I am less than 40. One of my factors is 7 and the sum of my digits is 8.
b) I am less than 100. Two of my factors are 3 and 5, and one digit is 1 more than the other.
Q10. A perfect number has the sum of all its factors equal to twice the number. Find the perfect number between 1 and 10 and verify it using its factors.
SECTION C
Q11. Multiply the triangular numbers by 6 and add 1. Write the first five numbers obtained, identify the sequence and explain the pattern with a picture.
Q12. Add the hexagonal numbers successively. Write the first five sums, identify the number sequence obtained and illustrate it using a picture of a cube.
Q13. Use a protractor to draw:
a) the letter M with the two side angles measuring 40 degrees each and the middle angle measuring 60 degrees;
b) the letter Y with angles of 150 degrees, 60 degrees and 150 degrees around its vertex.
Q14. Make one figure that contains exactly three acute angles, one right angle and two obtuse angles. Mark each required angle clearly.
Q15. Consider all 5-digit numbers between 35,000 and 75,000 whose digits are all odd. Find the largest number, the smallest number and the number closest to 50,000.
Q16. Test the Collatz rule starting from 100. Write every number obtained until the sequence reaches 1.
Q17. Magan Bhai sold the following numbers of kites. Draw a pictograph using 1 kite symbol for 100 kites; use half a symbol where needed. Then answer the questions.
| Person |
Chaman |
Rani |
Rukhsana |
Jasmeet |
Jetha Lal |
Poonam Ben |
| Kites sold |
250 |
300 |
100 |
450 |
250 |
700 |
a) How many symbols will represent Rani's sales?
b) Who sold the greatest number of kites?
c) How many more kites did Jasmeet sell than Chaman?
d) Did Poonam Ben sell more than twice as many kites as Rani? Give a reason.
Q18. Explore the prime numbers below 100:
a) Write three pairs of prime numbers below 20 whose sum is a multiple of 5.
b) Find all two-digit primes up to 100 whose reversed digits also form a prime.
c) Find a run of seven consecutive composite numbers between 1 and 100.
SECTION D
Q19. In the Koch Snowflake pattern, begin with an equilateral triangle. At each step, replace the middle third of every line segment by the other two sides of a small equilateral triangle. Answer the following:
a) Draw the next two stages of the pattern.
b) Count the line segments in each stage and write the resulting number sequence.
c) Explain how each term of the sequence is obtained from the previous term.
Q20. An acute angle remains acute when doubled, tripled and quadrupled, but becomes obtuse when multiplied by 5. Find all possible whole-number measures of the angle and justify the range you used.
Q21. Two players start at 0. On each turn a player adds 1, 2 or 3 to the current number. The first player to reach 22 wins. Determine which player can always win and describe the complete winning strategy.
Q22. The numbers of Mudhol Hounds in six villages are given below. Prepare a pictograph, choose a suitable key and answer the questions.
| Village |
A |
B |
C |
D |
E |
F |
| Number of hounds |
18 |
36 |
12 |
48 |
18 |
24 |
a) State the key you selected and draw the required symbols for Village B.
b) Compare the total for Villages B and D with the total for the other four villages. Show your calculation.
Q23. Solve the following factor-and-multiple problems:
a) In the idli-vada game, two numbers smaller than 10 are chosen. The first 'idli-vada' is spoken after 50. What could the two chosen numbers be?
b) In a treasure game, treasures are placed at 28 and 70. Find every jump size that lands on both treasures.
📚 Practice Tip:
Students should attempt this Class 6 Mathematics Half Yearly Sample Paper
independently and revise the concepts covered in each section. Regular practice
can help students become familiar with different types of Mathematics questions
and improve their problem-solving skills.
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