Track quiz
Ten ideas, ten checks. The table comes first. You can read it while you answer.
| Idea | How it goes |
|---|---|
| The whole turn | 360° divided by however many are in the set. |
| A slice | Multiply that figure by the group's count. |
| The check | Add every exact angle. The total must be 360. |
| What it says | Shares only. One known count and its slice give the total. |
| Two charts | The same picture can come from very different totals. |
| Inverse | One product on every row means inverse proportion. |
| Which kind | Divide for direct, multiply for inverse, or neither. |
| At work | Multiply, divide by the new amount, multiply back. |
| Many terms | Multiply every term by the same number. Find that number from the amount you know. |
| Sharing a whole | Add the terms. Divide the whole by that sum. Multiply each term by the answer. |
Twenty-four shopkeepers answered a poll. What angle is one shopkeeper's slice?
In a class of 30, 12 take the bus. What angle does that slice need?
Four slices measure 120°, 95°, 80° and 55°. Does the chart close?
A crops chart gives rice a 90° slice, with no total written. What can you tell?
Two clubs, 50 and 250 members, draw matching pie charts. What follows?
3 pipes fill a tank in 8 hours. 4 pipes take 6 hours. 6 pipes take 4 hours. Inverse?
A stall charges ₹20 to enter, plus ₹15 a ride. 2 rides cost ₹50, 4 cost ₹80. Which kind?
5 machines pack a lorry in 12 hours. How long do 4 machines take?
A mix is 2 : 5 : 3. There are 15 spoons of the middle ingredient. How many spoons of the third?
₹2,000 is shared in the ratio 1 : 3 : 4. How much is the middle share?
Your book has this as Chapter 3 of Part II, Proportional Reasoning-2. You found slice angles and checked that a chart closes. You also found the days a job takes.
Next: Exploring Some Geometric Themes. It has shapes with depth and self-repeating patterns.