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Quizzes > Mathematics > Basic Math & Arithmetic

Test Your 2-Digit by 2-Digit Multiplication Skills!

Think you can ace it? Start your 2 digit multiplication test online!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art two digit multiplication quiz with numbers symbols notepad stopwatch on coral background

This free multiplication test helps you practice 2-digit x 2-digit problems and build speed and accuracy. Work through clear sets, get quick feedback, and use it to spot gaps before a quiz. Pick the practice set or switch to the timed version to race the clock.

What is 12 × 13?
156
154
168
148
Multiply 12 by 10 to get 120 then by 3 to get 36, and add 120 + 36 = 156. This uses the distributive property of multiplication over addition. Breaking problems into tens and ones speeds up calculation accuracy. For more details on two-digit multiplication see .
What is 15 × 14?
205
215
210
200
First multiply 15 by 10 to get 150, then by 4 to get 60, and add 150 + 60 = 210. The decomposition method simplifies handling of two-digit numbers. Practicing these steps builds speed and confidence. Learn more at .
What is 11 × 11?
110
121
141
131
Multiplying any number by 11 can be done by adding adjacent digits: 1 and 1 sum to 2, giving 121. This shortcut works for many two-digit cases. Understanding these patterns speeds up mental math. For more on the 11 rule see .
What is 20 × 15?
350
250
300
320
Multiplying by 20 is twice the result of multiplying by 10, so 15 × 10 = 150, twice that is 300. Using place-value shifts simplifies the process. This approach reduces calculation errors. Read more at .
What is 13 × 15?
175
195
185
205
Break 15 into 10 + 5: 13 × 10 = 130 and 13 × 5 = 65, then add to get 195. Distributive property helps with mental math. Practicing this decomposition builds fluency with two-digit multiplication. For more examples visit .
What is 14 × 14?
196
208
216
184
Use (a + b)²: 14² = 14 × 14 = 196. Alternatively, 14 × 10 = 140 and 14 × 4 = 56, sum = 196. Recognizing squares accelerates recall. Learn square numbers at .
What is 16 × 11?
176
156
186
166
Multiply by 10 gives 160, then add one more 16 to get 176. The distributive property simplifies multiplication by 11. Recognizing these shortcuts builds speed. More on this trick at .
What is 17 × 12?
214
194
200
204
Compute 17 × 10 = 170 and 17 × 2 = 34, then add 170 + 34 = 204. Breaking numbers into tens and ones reduces errors. This method applies to any two-digit multiplication. See for practice.
What is 18 × 11?
208
198
188
178
First multiply 18 by 10 to get 180, then add one more 18 to get 198. This leverages the distributive property and pattern for multiplying by 11. Memorizing this pattern increases speed. Read more at .
What is 19 × 12?
218
238
248
228
Calculate 19 × 10 = 190 and 19 × 2 = 38, then add 190 + 38 = 228. Breaking down into tens and ones ensures accuracy. Repeated practice with this method builds fluency. Learn more at .
What is 23 × 17?
401
393
391
381
Compute 23 × 10 = 230 and 23 × 7 = 161, then add 230 + 161 = 391. Using distributive property simplifies larger multipliers. Practicing this decomposition builds speed. For more examples visit .
What is 34 × 12?
396
412
420
408
34 × 10 = 340 and 34 × 2 = 68; adding gives 408. Breaking into tens and units helps avoid mistakes. This method is standard in two-digit multiplication. More practice at .
What is 25 × 16?
380
360
400
420
25 × 16 can be seen as (25 × 10) + (25 × 6) = 250 + 150 = 400. Recognizing quarter values helps since 25 is 1/4 of 100. This technique speeds up mid-range products. See .
What is 32 × 18?
594
568
556
576
32 × 10 = 320 and 32 × 8 = 256; adding yields 576. Breaking the multiplier into 10 + 8 simplifies computation. Consistent use of this strategy builds calculation stamina. Review at .
What is 45 × 13?
595
575
565
585
45 × 10 = 450 and 45 × 3 = 135; sum = 585. Using decomposition helps manage mid-range multipliers. This approach applies broadly in multi-digit math. More tips at .
What is 27 × 14?
398
378
368
388
27 × 10 = 270 and 27 × 4 = 108; adding gives 378. Decomposing complex multipliers into tens and ones prevents errors. Mastery of this method improves calculation speed. See for practice.
What is 31 × 19?
609
569
589
591
31 × 20 = 620 minus one 31 gives 589. This alternative uses near-round numbers to simplify work. Recognizing these near-round strategies increases accuracy. More at .
What is 36 × 15?
540
550
560
520
36 × 10 = 360 and 36 × 5 = 180; adding gives 540. Breaking multiplication into simpler steps ensures correctness. Familiarity with half-and-double methods speeds up work. For more see .
What is 29 × 17?
493
513
483
503
29 × 10 = 290 and 29 × 7 = 203; sum = 493. The distributive approach handles uneven numbers effectively. Repeated use builds speed and confidence. Read more at .
What is 48 × 11?
518
508
538
528
Multiplying by 11: add the digits 4 + 8 = 12 to place between them, giving 528. This shortcut is a fast mental-math trick for any two-digit number. Understanding patterns like this strengthens numerical sense. See .
What is 67 × 24?
1628
1608
1708
1588
Break 24 into 20 + 4: 67 × 20 = 1340, 67 × 4 = 268, sum = 1608. This decomposition handles larger numbers systematically. Mastery of this technique is essential for complex problems. More at .
What is 58 × 36?
2078
1988
2088
2188
Use distributive property: 58 × 30 = 1740, 58 × 6 = 348, together = 2088. Decomposing both factors into tens and units simplifies the process. Regular practice with these steps reduces errors on complex calculations. Learn more at .
What is 74 × 29?
2146
2156
2136
2246
Compute 74 × 30 = 2220 then subtract one 74 (because 29 = 30 ? 1): 2220 ? 74 = 2146. Using near-round numbers simplifies mental calculation. This subtraction trick is key for efficiency. See .
What is 85 × 17?
1455
1545
1435
1445
Multiply 85 × 10 = 850 and 85 × 7 = 595, sum = 1445. Structured breakdown prevents oversight in multi-step multiplication. Practicing with uneven digits builds proficiency. For details visit .
What is 96 × 23?
2208
2198
2108
2308
96 × 20 = 1920, 96 × 3 = 288, total = 2208. Breaking multipliers into tens and ones is the core strategy for accuracy. Mastery of decomposition is necessary for larger calculations. Learn more at .
What is 49 × 45?
2105
2195
2305
2205
Use (50 ? 1) × 45 = 50×45 ? 1×45 = 2250 ? 45 = 2205. This difference-of-products method simplifies tough multipliers. Recognizing these patterns cuts down steps. See .
What is 68 × 37?
2518
2516
2416
2616
68 × 30 = 2040, 68 × 7 = 476, sum = 2516. Breaking into tens and units supports error-free multi-digit multiplication. Consistent use of this approach improves speed. Learn more at .
What is 79 × 28?
2112
2202
2212
2312
79 × 30 = 2370 minus 79 × 2 = 158 yields 2370 ? 158 = 2212. Using near multiples of ten and subtraction makes complex problems manageable. This method is powerful for large products. For more see .
What is 82 × 39?
3098
3298
3188
3198
82 × 40 = 3280 minus one 82 = 3280 ? 82 = 3198. Subtracting one unit of the number leverages the proximity to a round multiplier. This subtraction-from-round shortcut accelerates mental calculation. More at .
What is 57 × 48?
2736
2746
2636
2836
57 × 50 = 2850 minus 57 × 2 = 114 gives 2850 ? 114 = 2736. This uses decomposition and subtraction from a round number. Practicing such strategies builds expertise with challenging multipliers. For more see .
What is 93 × 87?
8090
8191
7991
8091
Use 93 × (90 ? 3): 93 × 90 = 8370, minus 93 × 3 = 279, gives 8370 ? 279 = 8091. Breaking one factor into a round number minus a small amount offers an expert-level shortcut. This method reduces multi-digit steps. Explore advanced tips at .
What is 76 × 98?
7440
7348
7548
7448
Compute 76 × 100 = 7600 then subtract 76 × 2 = 152, giving 7600 ? 152 = 7448. Using near-hundred adjustments is a powerful mental-math strategy. It speeds up complex two-digit multiplication. Read more at .
What is 99 × 99?
9701
9901
9801
9800
Use (100 ? 1)² = 10000 ? 2×100 + 1 = 9801. Recognizing this binomial expansion shortcut avoids lengthy multiplication. This trick is efficient for numbers near 100. Learn more at .
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Study Outcomes

  1. Apply multiplication algorithms -

    Use reliable step-by-step methods to solve 2 digit by 2 digit multiplication problems accurately.

  2. Enhance calculation speed -

    Complete multiplication timed test online exercises to improve fluency and respond under time pressure.

  3. Analyze problem-solving steps -

    Break down multi-digit multiplication into manageable partial products and verify carryover for precision.

  4. Monitor individual progress -

    Track scores in the free multiplication test online to identify areas of strength and opportunities for improvement.

  5. Build mathematical confidence -

    Develop assurance in handling two digit multiplication problems through consistent practice and evaluation.

  6. Employ mental math techniques -

    Leverage estimation and number sense strategies to quickly approximate and cross-check multiplication results.

Cheat Sheet

  1. Break Down Numbers with the Partial Products Method -

    Partial products leverage place value by splitting each number into tens and ones (e.g., 23 × 45 = (20+3)×(40+5) = 800 + 100 + 120 + 15). This method, advocated by university math departments like Stanford's, helps you see each step clearly and reduces errors on two digit multiplication problems. Practice this structure to build confidence before tackling a full multiplication test online.

  2. Visualize with the Lattice Multiplication Technique -

    The lattice method creates a grid where you multiply each digit and sum along diagonals, making complex calculations more systematic. This approach, used in many educational curricula, turns daunting 2 digit multiplication problems into manageable, bite-sized steps. Sketching a quick lattice grid during your math multiplication quiz can speed up your workflow and minimize mistakes.

  3. Master Your Times Tables for Instant Recall -

    Research from the National Council of Teachers of Mathematics shows that instant recall of tables up to 12×12 shaves seconds off each calculation. Use flashcards, songs, or apps to reinforce those basic facts until they become second nature. Solid recall frees mental bandwidth, so you breezily conquer any multiplication timed test online.

  4. Estimate to Verify and Reduce Errors -

    Before writing down your final answer, round each number (e.g., 23→20, 45→50) to quickly estimate 20×50=1000 as a reality check against the exact 23×45=1035. Estimation strategies, endorsed by academic programs like Khan Academy, help catch slip-ups and boost your accuracy. A quick mental check builds confidence and ensures you're on the right track during a timed challenge.

  5. Build Speed with Timed Practice Drills -

    Regularly simulate a multiplication timed test online with a stopwatch or a quiz app to train your brain under time pressure. Research in educational psychology indicates that spaced, timed drills improve both speed and retention on two digit multiplication problems. Track your times, celebrate small wins, and watch your confidence grow as you smash through each practice session.

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