Lesson Guide
Explanation
Look at ten counters. Six are red. If the question asks how many are red, the answer is six. If it asks how many are not red, the answer is four. The picture did not change at all — the word not changed the answer. So when you see a word like not, put your finger on it before you start counting.
Your Turn
There are 10 counters and 6 are red. How many are NOT red? Check: 4.
Watch Out
A question with NOT in it is easy to answer too fast. Slow down when you see it.
Explanation
A box has six red marbles, ten blue and four yellow. Impossible means it can never happen — there are no white marbles, so taking a white one is impossible. Certain means it must happen. Here is the trap: blue has the most marbles, so blue feels like the right answer to any question about this box. But if the question asks what is impossible, you want the colour that is not in the box at all.
Your Turn
A box has red, blue and yellow marbles. Which colour is impossible to take: red, or green? Check: green.
Watch Out
The most common colour is not the answer to an "impossible" question. Read which one the question wants.
Explanation
Some questions give you three rules at once: in the square, and in the triangle, but not in the circle. Take the letters one at a time and use all three rules on each. A is in the square but not the triangle, so it fails. C and F are inside the circle, so they fail. G is outside everything. Only B passes all three. Saying the rules out loud as you check stops you forgetting one.
Your Turn
Which letter is in the square AND the triangle but NOT the circle? Check: B.
Watch Out
All three rules must be true at once. A letter that passes two of them is still wrong.
Explanation
Three words tell you what to do. Altogether means add everything up: five oranges cut into quarters make twenty quarters. Left means take some away: eight shells with five kept means three were given away. Least means the smallest number that is still enough — twenty-seven children needing biscuits in packets of ten need three packets, because two packets is only twenty and that is not enough. When you are packing things into boxes or packets, you nearly always round up.
Your Turn
27 children each need a biscuit. Packets hold 10. What is the least number of packets? Check: 3.
Watch Out
"Least" means the smallest number that is ENOUGH, not the smallest number you can see.
Explanation
Here is the last habit, and it is the most useful one. Work the answer out, then read the question one more time. Emma had eight shells and kept five — how many did she give away? It is easy to do the subtraction, get three, and then write five, because five is the number you were just thinking about. Reading the question again catches that every time. Read it, underline the word, work it out, read it again. Quiz and exercises now.
Your Turn
Emma had 8 shells and kept 5. How many did she give away? Check: 3.
Watch Out
Your answer must be the thing the question asked for, not the number you used along the way.
📌 Key Points — this lesson in a nutshell
- Some questions have one word that changes the answer. Find it and underline it.
- The words to watch: not · impossible · least · most · altogether · left · each · right.
- Altogether means add everything up. Left means take some away.
- Read the question again after you work it out. Did you answer what it asked?
Step 1: Introduction
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