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§ Coding·Grade 10

Sequences & Instructions Worksheets

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Easy

10 problems

Medium

20 problems

Hard

20 problems

Mixed

30 problems

Free printable sequences & instructions worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from repeated addition from 0 (skip counting) at the easy level through to trace a compound formula applied repeatedly at the advanced level.

LK20.10

What is sequences & instructions?

Sequences in programming represent ordered sets of instructions that execute one after another, where each step can modify stored values called variables. The order of operations determines the final outcome, making sequencing a fundamental concept in computational thinking. A simple sequence might start with a value of 0 and add 3 repeatedly: 0 → 3 → 6 → 9 → 12.

Why it matters

Sequential instruction processing forms the backbone of all computer programs, from simple calculators to complex video games. Students encounter this concept in robotics classes where robots follow step-by-step commands to navigate obstacles. In financial software, sequences calculate compound interest by repeatedly applying the same formula — for example, $100 growing at 5% annually becomes $105, then $110.25, then $115.76 over 3 years. Video game engines use sequences to animate characters, updating position coordinates frame by frame at rates of 60 times per second. Understanding sequences prepares learners for programming loops, algorithm design, and mathematical induction. The concept appears in CCSS mathematical practices as students develop systematic problem-solving approaches and logical reasoning skills.

Common mistakes to watch for

  • ✗Executing instructions out of order produces incorrect results — following 'start at 5, multiply by 2, add 3' gives 13, but 'start at 5, add 3, multiply by 2' gives 16.
  • ✗Forgetting to update the variable after each step leads to wrong totals — when adding 4 repeatedly starting from 1, the sequence should be 1 → 5 → 9 → 13, not keeping 1 throughout.
  • ✗Counting the starting value as a step results in off-by-one errors — 'triple 4 times starting from 2' means 2 → 6 → 18 → 54 → 162, not stopping at 54.

Questions teachers ask

What is the difference between a sequence and a loop in programming?+
A sequence executes instructions once in order, while a loop repeats the same instruction multiple times. The sequence 'add 3, add 5, add 2' has 3 different steps, but a loop 'add 3' repeated 5 times performs the same operation repeatedly.
How do you trace through a sequence step by step?+
Start with the initial value and apply each instruction in order, writing down the new value after each step. For 'start at 7, subtract 2, multiply by 3', trace: 7 → 5 → 15, showing the variable's value changes sequentially.
Why does the order of instructions matter in sequences?+
Different orders produce different results because each instruction operates on the current value. 'Start at 4, add 6, divide by 2' gives 5, while 'start at 4, divide by 2, add 6' gives 8, demonstrating how sequence order affects outcomes.
What happens when you repeat the same instruction multiple times?+
Repeating creates a pattern that can often be calculated directly. Adding 7 four times to an initial value of 3 gives 3 → 10 → 17 → 24 → 31, which equals 3 + (7 × 4) = 31.
How do variables change during sequence execution?+
Variables store values that get updated with each instruction. Starting with x = 10, the instruction 'x = x + 5' changes x to 15, then 'x = x × 2' changes it to 30, showing how variables evolve through sequences.
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Beginner

Generate →
Concepts
Repeated addition from 0 (skip counting)
Range
step: 2–5, repeats: 3–5
Steps
2 steps
Example
Start 0, add 3 five times

Easy

Generate →
Concepts
Repeated multiplication from 1 (doubling/tripling)
Range
factor: 2–3, repeats: 3–5
Steps
1 step
Example
Start 1, double 4 times

Medium

Generate →
Concepts
Loop adding a constant from a non-zero start
Range
start: 1–5, add: 2–5, repeats: 4–6
Steps
2 steps
Example
x = 3; repeat 5: x = x + 4

Hard

Generate →
Concepts
Trace a compound formula applied repeatedly
Range
formulas like x·2+1, repeats: 3–5
Steps
2 steps
Example
x = 1; repeat 4: x = x × 2 + 1

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