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🧙 The Maths Castle Multi-Step Quest

Master multi-step word problems by breaking big puzzles into small, careful steps — like a true castle explorer!

🧙 Welcome, brave explorer, to the Maths Castle! I am the Maths Wizard, and today we tackle one of the trickiest treasures in the whole kingdom: **multi-step word problems**. Here is a surprising secret — the grown-ups you know use these every single day without even realising. When your family works out how much a holiday costs, splits a restaurant bill between friends, or checks whether a shop's '20% off' sale is really a bargain, they are solving multi-step problems! Imagine you save up for a new game costing £54. Your gran gives you £20, you already have £15, and you earn £3 a week doing chores. How many weeks until you can buy it? That is a multi-step problem, and by the end of this lesson you will crack puzzles like this with ease. These questions matter because they teach you to think clearly, plan ahead, and never panic when a problem looks long. The 11+ exam LOVES these questions because they test whether you can stay calm and organised. So grab your explorer's map, sharpen your wits, and let us march into the castle. Every locked door hides a reward, and every reward is a new skill. Ready? Let's begin our quest! ⭐

So, what exactly IS a multi-step word problem? Think of it like a treasure map with several stops before you reach the gold. A **single-step problem** asks you to do just one calculation — like 'What is 25% of £80?' (Answer: £20.) But a **multi-step problem** hides two, three, or even four calculations inside one question, and you must do them in the right order. Picture a chain of dominoes: each answer you find topples into the next calculation. If you knock them over in the wrong order, the whole chain collapses! Here is the key idea — a multi-step problem is really just several small, easy problems wearing a big scary costume. Your job is to peel off that costume, one layer at a time. The words in the question are your clues. Words like 'then', 'after', 'altogether', 'left over', and 'each' whisper to you what to do next. Never try to leap to the final answer in one giant jump — that is how mistakes sneak in. Instead, take one careful step, write down the answer, and move on. A **step** is simply one single calculation. Break the monster into mini-monsters, and suddenly it is not scary at all. That is the whole magic trick!

Now, HOW does the magic actually work? The secret is a powerful tool called **working out** — writing down each step so your brain never loses its place. Let me show you with a real example. Suppose a shop sells pencils in packs. A **pack** of 6 pencils costs £3. You buy 4 packs. How much do you spend, and how much **change** do you get from £20? Watch how I break it into steps. **Step 1:** Find the total number of packs cost. One pack is £3, and you buy 4 packs, so 4 × £3 = £12. **Step 2:** Find the change. You paid with £20, so £20 − £12 = £8. The answer is £8 change. Notice how each step used the answer from before? That is the domino effect in action. The underlying **principle** is this: always ask 'What must I know FIRST before I can find the final answer?' Work backwards from the goal to spot the order. In our example, you could not find the change until you knew the total cost. So the total came first. This idea of ordering your steps is the heartbeat of every multi-step problem. Master the order, and you master the whole castle. 🎯

Here is my trusty five-step method — memorise it and every problem becomes an adventure you can win! **Step 1 — READ** the whole question slowly, twice. Do not start calculating yet; just understand the story. **Step 2 — HIGHLIGHT** the important numbers and the key command words like 'total', 'each', 'left', or 'per'. These are your map markers. **Step 3 — PLAN** the order of your calculations. Ask yourself: 'What do I need to work out first?' Jot a quick list of the steps. **Step 4 — CALCULATE** one step at a time, writing every answer down neatly. Never do two sums in your head at once — that is where errors hide. **Step 5 — CHECK** by asking 'Does my answer make sense?' If a chocolate bar 'costs' £4000, something has gone wrong! Also check you answered the actual question — sometimes it asks for change, not total. Let me remind you why writing it down matters: your brain is brilliant, but it can only juggle a few numbers at once. Paper never forgets. Follow these five steps — READ, HIGHLIGHT, PLAN, CALCULATE, CHECK — and you will glide through even the longest problem. Think of them as five keys that open five castle doors, one after another. 🗝️

Let's try a simple example together, step by step. Here is the question: 'A cinema ticket costs £7. A group of 5 friends go together and share a large popcorn costing £5. How much do they pay altogether?' First, I **READ** it twice — friends buying tickets and sharing popcorn. Next, I **HIGHLIGHT** the numbers: £7 per ticket, 5 friends, £5 popcorn. Now I **PLAN**: I need the total ticket cost first, then add the popcorn. **Step 1 — Ticket cost:** 5 friends × £7 = £35. Let me check that multiplication: 5 × 7 = 35, so £35. **Step 2 — Add the popcorn:** £35 + £5 = £40. So altogether they pay £40. Finally, I **CHECK**: does £40 make sense for 5 cinema tickets and popcorn? Yes, that feels about right! Notice how I never tried to squash both steps into one leap. I found the ticket total, wrote it down, THEN added the popcorn. A common slip here is to add the £5 popcorn before multiplying, which would give a muddled answer. By keeping each step separate and neat, the puzzle almost solves itself. See how friendly a 'multi-step' problem becomes once you slow down? You just did it! ⭐

Now for a medium example with a sneaky wrinkle — a **percentage discount**. Here is the question: 'A jacket costs £60. In a sale it has 15% off. How much does it cost after the discount?' Many children panic at percentages, but stay calm — we take it step by step. First **PLAN**: I need to find the discount amount, then subtract it from £60. **Step 1 — Find 15% of £60.** A handy trick: 10% of £60 = £6 (just divide by 10). Then 5% is half of 10%, so 5% = £3. Add them: 10% + 5% = £6 + £3 = £9. So the discount is £9. **Step 2 — Subtract from the original price:** £60 − £9 = £51. So the jacket costs £51. Here is where students slow down: some children work out the 15% correctly but then forget to subtract, giving £9 as the final answer — but £9 is only the discount, not the price! Always re-read the question: it asks for the cost AFTER the discount. That is why my Step 5 CHECK is so important. Breaking the percentage into '10% then 5%' makes the mental maths gentle and reliable. Wonderful work — you have beaten the percentage puzzle! 🧠

Let's see how the real 11+ exam presents these. Exam boards like **GL** and **CEM** love a shopping or journey problem with four multiple-choice options. Here is a realistic one: 'Ben buys 3 notebooks at £2.50 each and a pen for £1.20. He pays with a £10 note. How much change does he receive?' Options: **A) £8.70 B) £1.30 C) £8.80 D) £1.20**. Let's solve it. **Step 1 — Notebook cost:** 3 × £2.50 = £7.50. **Step 2 — Add the pen:** £7.50 + £1.20 = £8.70. **Step 3 — Change from £10:** £10 − £8.70 = £1.30. The correct answer is **B) £1.30**. Now, why are the wrong options so tempting? Option **A) £8.70** is the total spent, not the change — a trap for anyone who forgets the final subtraction. Option **C) £8.80** comes from a small addition slip (£7.50 + £1.30). Option **D) £1.20** is simply the pen's price repeated — a trap for a distracted reader. See how each wrong answer represents a real mistake someone might make? The exam is testing whether you complete ALL the steps and answer the exact question asked. Always double-check: did they want the total or the change? 🎯

Time for the three most common mistakes — and how to defeat them! **Mistake 1: Answering the wrong question.** You do brilliant calculations but give the total when they asked for change. This happens because the last step is easy to forget once you are tired. **Fix:** underline the actual question words and re-read them before writing your answer. **Mistake 2: Doing steps in the wrong order.** Some children add before multiplying, forgetting that 'each' or 'per' means multiply first. **Fix:** remember the dominoes — ask 'What must I know FIRST?' before touching your pencil. **Mistake 3: Trying to do it all in your head.** Big problems have too many numbers to juggle mentally, so digits slip and answers wobble. **Fix:** write EVERY step down, even the easy ones. Paper never forgets. Now, my #1 power tip for exam day: after finding your answer, spend ten seconds on the **'Does it make sense?' check**. If a bus journey 'takes 400 hours' or a book 'costs 2p', an alarm should ring in your head. This tiny habit catches most silly errors. Slow down, break it up, check it makes sense — and you will conquer every multi-step problem in the castle. Off you go, champion! 🏆

Common mistakes

Frequently asked questions

Why do we have to do multi-step problems? They look so long!

Because grown-ups use them every day — working out shopping bills, holiday costs, and sale prices. They look long, but they're just small easy sums in disguise. Break them up and you'll fly through them. You've got this! 🌟

What if I forget which step comes first?

Just ask yourself: 'What must I know FIRST before I can find the answer?' Like the dominoes, each answer topples into the next. Write a quick plan before you start — that keeps everything in order. Easy when you slow down!

Why do I keep giving the total instead of the change?

It's a super-common slip — the total is only a middle step! Underline the real question words before you write your answer. Re-reading takes five seconds and saves the mark. You'll catch it every time now!

Do I really have to write everything down?

Yes — and here's why: your brain is brilliant but can only juggle a few numbers at once. Paper never forgets a digit. Writing each step down means fewer silly mistakes and more ticks. Neat working = happy examiner!

How do I work out percentages quickly?

Use friendly shortcuts! 10% means divide by 10. 25% means divide by 4. 50% means halve it. Then add or subtract as needed. Build the answer from these easy pieces — it's like stacking building blocks. Brilliant trick!

What if I run out of time in the exam?

Don't panic! Do the easy steps first and write them down. Even partial working can earn credit. Keep calm, breathe, and take one step at a time. Steady explorers always reach the treasure. I believe in you! 🏆