21 problems graded by difficulty (★ easy, ★★ medium, ★★★ hard). Try first, without looking at the solutions!
1 Reading exponents ★★★
a) Write \(10 \times 10 \times 10\) as a power of 10.
b) Write \(10^5\) as a number.
c) How many zeros does \(10^2\) have?
2 Shifting digits ★★★
Compute: a) \(53 \times 10\) b) \(53 \times 100\) c) \(53 \times 1{,}000\) d) \(8 \times 10^4\)
3 Multiples of 10 ★★★
Find each product using a basic fact: a) \(6 \times 40\) b) \(70 \times 50\) c) \(300 \times 8\) d) \(20 \times 600\)
4 Quick estimate ★★★
Estimate \(48 \times 31\) by rounding each factor to the nearest ten. Then say whether 1,488 is a reasonable exact answer.
5 Fill in an area model ★★★
Use the area model to compute \(12 \times 13\). Write \(12 = 10 + 2\) and \(13 = 10 + 3\).
Find the four partial products and add them.
6 Two partial products ★★★
Compute \(23 \times 14\) by finding \(23 \times 4\) and \(23 \times 10\), then adding them.
7 Pencil boxes ★★★
A school art room has 12 boxes of colored pencils. Each box holds 24 pencils. How many pencils are there in all?
8 Standard algorithm practice ★★★
Use the standard algorithm to compute \(36 \times 27\). Estimate first.
9 Regrouping twice ★★★
Compute \(58 \times 43\) with the standard algorithm.
10 Estimate, then calculate ★★★
a) Estimate \(73 \times 28\). b) Find the exact product. c) Is the exact product close to the estimate?
11 Find the mistake ★★★
Maya wrote \(45 \times 32 = 225\), because she computed \(45 \times 2 = 90\), then \(45 \times 3 = 135\), and added 90 + 135. What went wrong? Give the correct product.
12 Area model with three parts ★★★
Use an area model to compute \(214 \times 32\). Split 214 into 200 + 10 + 4 and 32 into 30 + 2.
Find all six partial products and add them.
13 Theater seats ★★★
A theater has 28 rows. Each row has 35 seats. How many seats does the theater have?
14 True or false? ★★★
Decide whether each statement is true or false. Justify your answer.
a) \(10^4 = 40\) b) \(60 \times 500 = 30{,}000\) c) \(25 \times 40 = 1{,}000\)
15 Big standard algorithm ★★★
Compute \(472 \times 36\) with the standard algorithm. Estimate first.
16 Zero in the middle ★★★
Compute \(805 \times 47\). Explain what happens with the zero in 805.
17 Missing factors ★★★
Find the missing number: a) \(40 \times \_\_ = 28{,}000\) b) \(\_\_ \times 60 = 4{,}800\) c) \(9 \times \_\_ = 63{,}000\)
18 Juice orders ★★★
A school orders 36 cases of juice. Each case holds 24 bottles. A second order adds 18 more cases. a) How many bottles are in the first order? b) How many bottles are in the second order? c) How many bottles in total? d) Check by multiplying 54 cases at once.
19 Which is greater? ★★★
Which product is greater, \(38 \times 52\) or \(41 \times 49\)? Both are close to 2,000, so you must calculate exactly.
20 Powers of 10 in a product ★★★
Compute \(3{,}600 \times 200\) by rewriting it as \(36 \times 2\) times a power of 10.
21 Factory jars ★★★
A factory fills 125 jars of jam each hour. It runs 16 hours a day for 24 days. How many jars does it fill in all? Estimate first.
Test yourself: quick challenge for Grade 5
Speed drill for Grade 5: how many in 60 seconds?
🚀 Keep exploring with Zyro
✅ Practice solutionsMulti-Digit Multiplication: practice solutions, Grade 5
📘 Math lessonsMulti-Digit Multiplication: math lesson, Grade 5
🎯 Math quizzesMulti-Digit Multiplication: math quiz, Grade 5
✅ Practice solutionsDividing Whole Numbers: practice solutions, Grade 5
✅ Practice solutionsMultiplying and Dividing Decimals: practice solutions, Grade 5
📘 Math lessonsDividing Whole Numbers: math lesson, Grade 5