Track quiz
Ten ideas, ten checks. The table comes first. You can read it while you answer.
| Idea | How it goes |
|---|---|
| Two questions | Subtract for how much more. Divide for how many times. |
| A ratio | A comparison made by dividing, written 3 : 2. |
| What it names | Boys : girls names two groups. Girls : class names a group and the whole. |
| Equivalent | Multiply both parts by the same number (not 0). |
| Simplest form | Match units. Divide by the highest shared factor. |
| Sharing | Add the parts. Find one. Then hand out. |
| Proportion | Two equal ratios. Multiply across to check. |
| Value of one | If each is worth the same, divide to one. Multiply for many. |
| Growing together | Direct proportion gives the same division every row. |
| Rates and scales | A rate keeps its units. A scale compares paper to world. |
A report says a town had twice the rainfall of last year. Which question does that answer?
A shelf holds 9 novels and 6 textbooks. What is the ratio of novels to all the books?
Which ratio makes the same comparison as 7 : 3?
Write 750 g to 1 kg as a ratio in simplest form.
₹5,400 is shared in the ratio 2 : 3 : 4. What are the shares?
Fill the gap: 5 : 8 = ? : 24.
Six chairs cost ₹2,340. What do nine cost?
A stall charges ₹10 to enter and ₹30 a game. Two games cost ₹70. Four cost ₹130. Is the bill in direct proportion to the games?
A car covers 240 km in 4 hours. How far does it go in 7 hours at that rate?
A house plan has a scale of 1 : 150. A wall is 8 cm on the plan. How long is the real wall?
Chapter 7 of Part I is Proportional Reasoning-1. Open it and see what it does with these ideas.
Next: Fractions in Disguise. It uses the same habit. This time the second part is fixed at a hundred.