Number and Figure Patterns - Grade 4 Math Questions With Answers

A set of grade 4 questions on number and figure patterns are presented along with step-by-step solutions and explanations.

Questions and Solutions

  1. Find the missing items in the pattern: \[1, 2, 3, 4, 5, \dots\]
    1. \(7, 8\)
    2. \(6, 8\)
    3. \(7, 9\)
    4. \(6, 7\)
    View Step-by-Step Solution

    Problem: Find the next two numbers in the pattern \(1, 2, 3, 4, 5, \dots\)

    Explanation: The pattern increases by 1 each time. After 5, the next numbers are \(5 + 1 = 6\) and \(6 + 1 = 7\).

    Therefore, the correct option is D.

  2. Find the missing items in the pattern: \[1, 3, 5, 7, 9, \dots\]
    1. \(11, 13\)
    2. \(10, 11\)
    3. \(12, 14\)
    4. \(10, 15\)
    View Step-by-Step Solution

    Problem: Find the next two numbers in the pattern \(1, 3, 5, 7, 9, \dots\)

    Explanation: The pattern increases by 2 each time (consecutive odd numbers). After 9, the next numbers are \(9 + 2 = 11\) and \(11 + 2 = 13\).

    Therefore, the correct option is A.

  3. Find the missing items in the pattern: \[0, 2, 4, 6, 8, \dots\]
    1. \(9, 12\)
    2. \(10, 12\)
    3. \(10, 11\)
    4. \(10, 13\)
    View Step-by-Step Solution

    Problem: Find the next two numbers in the pattern \(0, 2, 4, 6, 8, \dots\)

    Explanation: The pattern increases by 2 each time (consecutive even numbers). After 8, the next numbers are \(8 + 2 = 10\) and \(10 + 2 = 12\).

    Therefore, the correct option is B.

  4. Find the missing items in the pattern: \[0, 3, 6, 9, 12, \dots\]
    1. \(14, 16\)
    2. \(13, 14\)
    3. \(15, 18\)
    4. \(14, 15\)
    View Step-by-Step Solution

    Problem: Find the next two numbers in the pattern \(0, 3, 6, 9, 12, \dots\)

    Explanation: The pattern increases by 3 each time (multiples of 3). After 12, the next numbers are \(12 + 3 = 15\) and \(15 + 3 = 18\).

    Therefore, the correct option is C.

  5. Find the missing items in the pattern: \[3, 8, 13, 18, 23, \dots\]
    1. \(28, 33\)
    2. \(27, 32\)
    3. \(28, 32\)
    4. \(27, 33\)
    View Step-by-Step Solution

    Problem: Find the next two numbers in the pattern \(3, 8, 13, 18, 23, \dots\)

    Explanation: Each number increases by 5. After 23, the next numbers are \(23 + 5 = 28\) and \(28 + 5 = 33\).

    Therefore, the correct option is A.

  6. Find the missing items in the pattern: \[3, 13, 23, 33, 43, \dots\]
    1. \(63, 73\)
    2. \(53, 63\)
    3. \(54, 73\)
    4. \(44, 45\)
    View Step-by-Step Solution

    Problem: Find the next two numbers in the pattern \(3, 13, 23, 33, 43, \dots\)

    Explanation: Each number increases by 10. After 43, the next numbers are \(43 + 10 = 53\) and \(53 + 10 = 63\).

    Therefore, the correct option is B.

  7. Find the missing items in the pattern: \[0, 5, 10, \dots, \dots, 25, 30, \dots\]
    1. \(15, 16\)
    2. \(11, 20\)
    3. \(12, 13\)
    4. \(15, 20\)
    View Step-by-Step Solution

    Problem: Find the missing numbers in \(0, 5, 10, \dots, \dots, 25, 30, \dots\)

    Explanation: The pattern increases by 5 each time. After 10, the missing terms are \(10 + 5 = 15\) and \(15 + 5 = 20\).

    Therefore, the correct option is D.

  8. Find the missing items in the pattern: \[100, 98, 96, \dots, \dots, 90, 88, \dots\]
    1. \(95, 94\)
    2. \(97, 98\)
    3. \(94, 92\)
    4. \(92, 91\)
    View Step-by-Step Solution

    Problem: Find the missing numbers in \(100, 98, 96, \dots, \dots, 90, 88, \dots\)

    Explanation: The pattern decreases by 2 each time. After 96, the missing terms are \(96 - 2 = 94\) and \(94 - 2 = 92\).

    Therefore, the correct option is C.

  9. Find the missing items in the pattern: \[200, 190, 180, \dots, \dots, 150, 140, \dots\]
    1. \(170, 160\)
    2. \(181, 182\)
    3. \(170, 171\)
    4. \(182, 184\)
    View Step-by-Step Solution

    Problem: Find the missing numbers in \(200, 190, 180, \dots, \dots, 150, 140, \dots\)

    Explanation: The pattern decreases by 10 each time. After 180, the missing terms are \(180 - 10 = 170\) and \(170 - 10 = 160\).

    Therefore, the correct option is A.

  10. Find the missing items in the pattern: \[1, 2, 4, 7, 11, \dots, \dots\]
    1. \(14, 17\)
    2. \(15, 18\)
    3. \(16, 21\)
    4. \(16, 22\)
    View Step-by-Step Solution

    Problem: Find the next two numbers in the pattern \(1, 2, 4, 7, 11, \dots, \dots\)

    Explanation: The differences between consecutive terms increase by 1 each time (+1, +2, +3, +4, +5, +6):

    • \(2 - 1 = 1\)
    • \(4 - 2 = 2\)
    • \(7 - 4 = 3\)
    • \(11 - 7 = 4\)
    Following this rule, the next additions are +5 and +6: \(11 + 5 = 16\) and \(16 + 6 = 22\).

    Therefore, the correct option is D.

  11. Figure Pattern:

    patterns, question 11

    View Step-by-Step Solution

    Explanation: Analyzing the geometric progression and rotation rules across the sequence shows that option B correctly displays the next shape in the progression.

    Therefore, the correct option is B.

  12. Figure Pattern:

    patterns, question 12

    View Step-by-Step Solution

    Explanation: Examining the visual elements and symmetry changes in the figure sequence shows that option C represents the correct subsequent figure.

    Therefore, the correct option is C.

References and Links