Worksheets › Class 7 › Patterns and Rules
Class 7 · Computational Thinking and AI worksheetPatterns and Rules
CBSE Computational Thinking and AI. Multi-rule and alternating sequences, term n rules, which term, growing patterns, letter codes and letter values. Every sheet has 20 questions in three sections and an answer key, and the questions change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
A rule like "term n = 3n + 2" gives the 10th term as:
- 35
- 23
- 30
- 32
Answer
(d) 32
- 2.
What comes next? 9, 13, 26, 30, 60, ?
- 64
- 90
- 65
- 63
Answer
(a) 64
add 4, then double, in turn
- 3.
One number in this sequence is wrong. Which one? 9, 11, 12, 15, 17, 19, 21
- 12
- 11
- 19
- 21
Answer
(a) 12
add 2 each time; it should be 13
Section B · short answer
- 4.
Find the rule for term n of 7, 12, 17, 22, … and use it to find term 30.
Answer
Term n = 5n + 2; term 30 = 152.
- 5.
What comes next? 3, 4, 8, 9, 18, ?
Answer
19
add 1, then double, in turn
Section C · long answer
- 6.
A pattern of triangles made of sticks uses 3, 5, 7, 9 sticks. (a) Find a rule for n triangles. (b) How many sticks for 25 triangles? (c) How many triangles can be made with 61 sticks?
Answer
(a) 2n + 1. (b) 51. (c) 2n + 1 = 61 gives n = 30.
Fresh sheets for your child
In the app, every Patterns and Rules sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.