In this lesson, we will learn how to use the block diagrams (Singapore Math) method or Tape Diagrams (Common Core) to solve word problems.

**Related Pages**

Addition & Subtraction Word

Multiplication and Division Word Problems

2-Step Word Problems and Bar Models

More Word Problems

**Singapore Math Problem Sums - Whole Number - Comparison Model**

**Example:**

Elsa made 6 times as many huge ice cubes as tiny ice cubes. She made 540 more huge ice cubes than tiny ice cubes. How many ice cubes did she make altogether?

**Example:**

Anna and Lucas had the same amount of savings initially. After Lucas received $360 from his uncle,
he has four times as much savings as Anna. How much savings did Lucas have at first?

**Example:**

Nick and John had a total of $3800 when they went to shop for laptops. After Nick spent $200 on a laptop,
John had thrice as much money as Nick. Find the difference in the initial amount of money both had brought
with them for their shopping trip.

**Example:**

When a certain pot is filled with cream of mushroom soup, it weighs 18 kg. When it is filled with clear
chicken broth, it weighs 9 kg. If the cream of mushroom soup is 3 times as heavy as the clear chicken
broth, how heavy is the pot?

**Example:**

Stacey spent $356 on a dress, a blouse and a skirt. If the dress cost $35 more than the blouse and the
blouse cost $18 less than the skirt, how much did she pay for each item?

**Example:**

Joshua, William and Ryan spent a total of $486. Joshua spent twice as much money as Ryan. William spent
three times as much money as Joshua. How much more money did William spend than Joshua?

**Singapore Math Problem Sums - Percentage**

**Example:**

An amount of money was shared between Beverly and Candice. Beverly received 64% of the money. If
she gives $28 to Candice, both of them will have the same amount of money. How much money did
Beverly receive?

**Singapore Math Problem Sums - Algebra**

**Example:**

Lucy had 3*m* more apples than oranges. She gave away 9*m* apples and was left with 2/5 as many apples as
oranges. How many oranges did Lucy have, in terms of *m*?

**Singapore Math Problem Sums - Ratio**

**Example:**

There are 78 guests at a party. The ratio of the number of men to women is 8:5. When 10 more women
join the party, what is the new ratio of the number of women to the number of guests at a party?

**Singapore Math Problem Sums - Speed**

**Example:**

Claire and Shirley went cycling. Claire cycled at a speed of 30 km/h while Shirley cycled at a speed
of 42 km/h. If Claire started off 40 min earlier than Shirley, how long did Shirley take to catch up
to her? Give your answer in hours and minutes.

**Singapore Math Problem Sums - Whole Number**

**Example:**

There is an equal number of marbles in 7 identical jars. If all the marbles in 3 of the jars are taken
out and distributed equally into the rest of the jars, these jars will have 12 more marbles each.
What is the total number of marbles in the 7 jars?

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

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