Sum It Up questions turn everyday situations into arithmetic word problems. The key is to identify what each number means, choose the correct operation, and keep the unit attached to the final answer.
For students who can add numbers, but get stuck choosing which quantities from a word problem need to be combined.
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Sum It Up questions present practical, multi-step real-world word problems that test your ability to choose the right operations in the right order. Here is a worked example.
Question: A baker makes 5 batches of cupcakes. Each batch has 10 cupcakes. He then adds 2 extra cupcakes to the total. How many cupcakes does he have in total?
Step 1: Find the cupcakes from the batches: 5 × 10 = 50.
Step 2: Add the extra cupcakes: 50 + 2 = 52.
Step 3: Check by removing the extras: 52 − 2 = 50, which matches the 5 batches of 10.
Answer: 52 cupcakes
Tip: The 2 extras are added to the total once, not to every batch.
To solve word problems like the example above, break the text into clear sequential calculations. Keep these four rules in mind:
Before calculating, find what the problem actually asks you to work out.
Example: "How much is left?" means subtract after finding the starting total.
Multiply the number of equal groups by the amount in each group. Check whether any extras apply once to the total or separately to every group.
Example: Five batches of 10 cupcakes with 2 extra overall gives 5 × 10 + 2 = 52. With 2 extra in each batch, it gives 5 × (10 + 2) = 60.
Use division when a total is split equally or when finding how many equal portions it contains. When dividing one volume by another, convert both to the same unit first.
Example: 5 litres = 5000 ml. At 40 ml per cup, 5000 ÷ 40 = 125 cups can be filled.
The final answer should say pounds, cupcakes, markers, spoons, trees, or another unit from the question.
Example: 52 is not enough; the answer is 52 cupcakes.
Here are two more examples demonstrating how to combine multi-day quantities and convert units before dividing.
Question: A restaurant serves 96 customers on Saturday and 25 customers on Sunday. If each customer pays an average of £7, what is the projected revenue for both days?
Step 1: Add the customers: 96 + 25 = 121.
Step 2: Multiply by the average payment: 121 × £7 = £847.
Step 3: Check by calculating each day's projected revenue separately: 96 × £7 = £672 and 25 × £7 = £175. Then £672 + £175 = £847.
Answer: £847
Tip: Because the same average payment applies to both days, you can add the customer counts before multiplying.
Question: Each small cup holds 40 ml of juice. How many cups can be filled from a jug containing 5 litres of juice?
Step 1: Convert 5 litres to millilitres: 5 litres = 5000 ml.
Step 2: Divide by the amount in one cup: 5000 ÷ 40 = 125.
Step 3: Check the volume used: 125 × 40 ml = 5000 ml, exactly the amount in the jug.
Answer: 125 cups. The trap: Dividing 5 by 40 before converting units gives the wrong scale.