Pedagogy

CTET Maths MCQ with Answers, Paper 1 (Classes I-V)

222 practice questions on Mathematics, Classes I-V (Paper I) for CTET Paper I, with answers; most also have an explanation or a worked solution. Try each one before you open its answer.

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1. Q.201

   A cinema hall has 26 rows with 34 seats in each row. On Sunday all the seats were sold for each of 3 shows. How many tickets were sold that day?

   1. A 2,552
   2. B 2,642
   3. C 2,652
   4. D 884
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   Correct answer: (C) 2,652

   Seats in the hall = 26 × 34 = 884; for 3 shows, 884 × 3 = 2,652. Check another way: 26 × 3 = 78 and 78 × 34 = 2,652.

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2. Q.202

   A mirror is held upright along the right-hand edge of a word written in plain block capital letters. Which word looks exactly the same in the mirror?

   1. A MOM
   2. B NOON
   3. C DAD
   4. D BOB
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   Correct answer: (A) MOM

   A side mirror swaps left and right, so the word must read the same backwards and every letter must have a vertical line of symmetry. MOM fits; in DAD, NOON and BOB the letters D, N and B appear reversed.

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3. Q.203

   Given that 37 × 3 = 111, what is 37 × 18?

   1. A 555
   2. B 777
   3. C 6,666
   4. D 666
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   Correct answer: (D) 666

   18 = 3 × 6, so 37 × 18 = (37 × 3) × 6 = 111 × 6 = 666. Check: 37 × 18 = 370 + 296 = 666.

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4. Q.204

   Which number has the expanded form 3,00,000 + 2,000 + 40 + 9?

   1. A 3,20,049
   2. B 3,02,409
   3. C 32,049
   4. D 3,02,049
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   Correct answer: (D) 3,02,049

   3 lakhs, 0 ten-thousands, 2 thousands, 0 hundreds, 4 tens and 9 ones give 3,02,049. The zeros keep the empty ten-thousands and hundreds places.

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5. Q.205

   If 4 kg of onions cost ₹ 138, what will 2½ kg of onions cost?

   1. A ₹ 69.00
   2. B ₹ 86.25
   3. C ₹ 103.50
   4. D ₹ 55.20
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   Correct answer: (B) ₹ 86.25

   1 kg costs 138 ÷ 4 = ₹ 34.50. So 2½ kg cost 2 × 34.50 + 17.25 = 69 + 17.25 = ₹ 86.25.

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6. Q.206

   Which of the following fractions is NOT equivalent to 2/3?

   1. A 10/15
   2. B 14/21
   3. C 9/12
   4. D 4/6
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   Correct answer: (C) 9/12

   4/6, 10/15 and 14/21 are 2/3 with numerator and denominator multiplied by 2, 5 and 7. But 9/12 = 3/4 (divide both by 3), so it is not equivalent to 2/3.

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7. Q.207

   Sunita is facing east. She turns to her left through one right angle, and then turns to her left again through one right angle. Which direction is she facing now?

   1. A North
   2. B South
   3. C West
   4. D East
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   Correct answer: (C) West

   Turning left from east through a right angle makes her face north; another left turn of a right angle makes her face west. Two right angles make a half turn, so she faces opposite to east.

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8. Q.208

   Arrange these shapes in increasing order of the number of their lines of symmetry: a rectangle that is not a square, an equilateral triangle, a square, a circle.

   1. A Equilateral triangle, rectangle, square, circle
   2. B Circle, rectangle, equilateral triangle, square
   3. C Rectangle, equilateral triangle, square, circle
   4. D Rectangle, square, equilateral triangle, circle
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   Correct answer: (C) Rectangle, equilateral triangle, square, circle

   A rectangle that is not a square has 2 lines of symmetry, an equilateral triangle 3, a square 4, and a circle endlessly many (every line through its centre). So the order is rectangle, equilateral triangle, square, circle.

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9. Q.209

   In a pattern, an arrow points up in the 1st box and turns a quarter turn clockwise in each next box (up, right, down, left, up, ...). Which way does the arrow point in the 27th box?

   1. A Pointing down
   2. B Pointing up
   3. C Pointing right
   4. D Pointing left
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   Correct answer: (A) Pointing down

   The directions repeat every 4 boxes. 27 = 6 × 4 + 3, so the 27th box matches the 3rd box, where the arrow points down.

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10. Q.210

    A pictograph shows books donated by classes, with the key one symbol = 5 books. Class I: 7 symbols, Class II: 4½, Class III: 8, Class IV: 6½ and Class V: 9 symbols. How many books were donated in all?

    1. A 35 books
    2. B 175 books
    3. C 170 books
    4. D 180 books
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    Correct answer: (B) 175 books

    Total symbols = 7 + 4½ + 8 + 6½ + 9 = 35, and 35 × 5 = 175 books. Ignoring the half symbols gives 170, and counting them as whole gives 180.

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11. Q.211

    Rani buys a pen for ₹ 12.75 and a notebook for ₹ 18.50. She gives the shopkeeper ₹ 50. How much change should she get?

    1. A ₹ 18.25
    2. B ₹ 18.75
    3. C ₹ 19.75
    4. D ₹ 31.25
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    Correct answer: (B) ₹ 18.75

    Total cost = 12.75 + 18.50 = ₹ 31.25. Change = 50.00 - 31.25 = ₹ 18.75 (check: 31.25 + 18.75 = 50.00).

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12. Q.212

    What is the cost of 6 erasers at ₹ 3.75 each?

    1. A ₹ 22.50
    2. B ₹ 18.75
    3. C ₹ 22.05
    4. D ₹ 21.50
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    Correct answer: (A) ₹ 22.50

    6 × ₹ 3 = ₹ 18 and 6 × 75 paise = 450 paise = ₹ 4.50, so the cost is 18 + 4.50 = ₹ 22.50.

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13. Q.213

    A wooden cube painted red on all its faces is cut into 27 equal small cubes. How many of the small cubes have red paint on exactly three faces?

    1. A 1 small cube
    2. B 6 small cubes
    3. C 8 small cubes
    4. D 12 small cubes
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    Correct answer: (C) 8 small cubes

    Only the small cubes at the corners of the big cube have three painted faces, and a cube has 8 corners. (The 12 cubes in the middle of the edges have 2 painted faces, the 6 at the face centres have 1 and the 1 in the centre has none: 8 + 12 + 6 + 1 = 27.)

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14. Q.214

    Which unit is the most suitable for measuring the thickness of a coin?

    1. A Millimetre
    2. B Centimetre
    3. C Metre
    4. D Kilometre
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    Correct answer: (A) Millimetre

    A coin is only a couple of millimetres thick, much less than 1 cm, so the millimetre (1 mm = 1/10 cm) is the most suitable unit.

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15. Q.215

    At a grocery shop, Sunita buys 3 kg of rice at ₹ 42 per kg, 2 kg of dal at ₹ 95 per kg and one packet of salt for ₹ 18. What is the total amount of her bill?

    1. A ₹ 155
    2. B ₹ 316
    3. C ₹ 387
    4. D ₹ 334
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    Correct answer: (D) ₹ 334

    Rice 3 × 42 = ₹ 126, dal 2 × 95 = ₹ 190, salt ₹ 18; total = 126 + 190 + 18 = ₹ 334.

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16. Q.216

    A closed tin can shaped like a cylinder stands upright on a table. What do its top view and front view look like?

    1. A Top: rectangle; front: circle
    2. B Top: circle; front: circle
    3. C Top: square; front: triangle
    4. D Top: circle; front: rectangle
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    Correct answer: (D) Top: circle; front: rectangle

    From above you see only the round lid, a circle. From the front you see the curved side, which looks like a rectangle as tall and as wide as the can.

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17. Q.217

    A geometry box costs ₹ 46.30 and a pencil box costs ₹ 29.85. How much more does the geometry box cost than the pencil box?

    1. A ₹ 23.55
    2. B ₹ 16.45
    3. C ₹ 17.45
    4. D ₹ 76.15
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    Correct answer: (B) ₹ 16.45

    ₹ 46.30 − ₹ 29.85 = ₹ 16.45 (borrowing in the paise and rupee columns). Check: 29.85 + 16.45 = 46.30. (₹ 23.55 comes from subtracting the smaller digit from the larger in each column.)

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18. Q.218

    How many hundreds make 3 lakh?

    1. A 3,000
    2. B 300
    3. C 30,000
    4. D 30
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    Correct answer: (A) 3,000

    1 lakh = 1,00,000 = 1,000 hundreds, so 3 lakh = 3 × 1,000 = 3,000 hundreds. Check: 3,000 × 100 = 3,00,000.

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19. Q.219

    Which of these holds the most liquid?

    1. A 3 bottles of 750 mL each
    2. B A 2 L can
    3. C 4 packets of 450 mL each
    4. D A jar of 1 L 900 mL
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    Correct answer: (A) 3 bottles of 750 mL each

    In mL: 3 × 750 = 2250 mL, 2 L = 2000 mL, 4 × 450 = 1800 mL and 1 L 900 mL = 1900 mL. So the 3 bottles of 750 mL hold the most.

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20. Q.220

    Each entry in the table of 8 is double the matching entry in the table of 4, and each entry in the table of 16 is double the matching entry in the table of 8. If 4 × 23 = 92, what is 16 × 23?

    1. A 184
    2. B 276
    3. C 368
    4. D 1,472
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    Correct answer: (C) 368

    8 × 23 = 2 × 92 = 184, and 16 × 23 = 2 × 184 = 368. Check: 16 × 23 = 160 + 208 = 368. (184 doubles only once.)

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21. Q.221

    A stadium has 10,000 seats. If 3,689 people are already seated, how many more people can be seated?

    1. A 6,321
    2. B 6,411
    3. C 6,311
    4. D 7,421
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    Correct answer: (C) 6,311

    10,000 - 3,689 = 6,311. Check: 3,689 + 6,311 = 10,000. The answer 7,421 comes from subtracting each digit from 10 without regrouping.

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22. Q.222

    Counting 4 × 12 and 12 × 4 as the same pair, how many factor pairs does 48 have?

    1. A 4 pairs
    2. B 6 pairs
    3. C 5 pairs
    4. D 10 pairs
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    Correct answer: (C) 5 pairs

    The pairs are 1 × 48, 2 × 24, 3 × 16, 4 × 12 and 6 × 8, so there are 5 pairs. These 5 pairs give the 10 factors of 48.

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