Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > Mathematics > Basic Math & Arithmetic

Math Skills Quiz: Test Speed, Interest & Problem-Solving

Take this simple interest test and work time problems quiz to boost your problem-solving!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art on blue background calculator clock gears puzzle speed calculations simple interest work time arrangements

Think you've got what it takes to conquer numbers in record time? Join our ultimate math skills quiz and put yourself to the test with a blend of speed calculations practice, simple interest test scenarios, challenging work time problems quiz items, and clever arrangement problems quiz puzzles. Perfect for students, lifelong learners, or anyone craving a brain workout, you'll build confidence tackling quick-fire mental math. Warm up with real-world simple interest questions and fine-tune your pace in a free arithmetic quiz . Every question comes with step-by-step explanations, so you not only score yourself but also learn efficient shortcuts along the way. After each round, get instant feedback to track your progress and pinpoint areas for improvement. Ready to sharpen your problem-solving edge and see how fast you really are? Click "Start Quiz" now and let the challenge begin!

What is the simple interest on a principal of $1000 at 5% per annum for 2 years?
$10
$100
$150
$50
Simple interest is calculated as P × R × T / 100. Here, P = 1000, R = 5%, and T = 2 years, so interest = 1000 × 5 × 2 / 100 = 100. Investopedia
If a car travels at 60 km/h, how long will it take to cover 120 km?
2 hours
1 hour
3 hours
2.5 hours
Time equals distance divided by speed: 120 km ÷ 60 km/h = 2 hours. Math is Fun
Four workers can complete a job in 10 days. If one more identical worker joins, how many days will they take?
7 days
9 days
6 days
8 days
Work rate per worker is 1/10 ÷ 4 = 1/40 per day. With 5 workers, rate is 5/40 = 1/8 per day, so job takes 8 days. Math is Fun
At 80 km/h, how much distance does a vehicle cover in 3.5 hours?
300 km
280 km
320 km
240 km
Distance = speed × time = 80 km/h × 3.5 h = 280 km. Math is Fun
Find the simple interest on $500 for 3 years at 4% per annum.
$75
$50
$45
$60
SI = P × R × T / 100 = 500 × 4 × 3 / 100 = 60. Investopedia
Two pipes fill a tank in 6 and 12 hours respectively. How long do they take together?
4 hours
5 hours
6 hours
3 hours
Combined rate = 1/6 + 1/12 = 3/12 = 1/4 of tank per hour, so time = 4 hours. Math is Fun
A boat's speed in still water is 10 km/h and the stream speed is 2 km/h. What is its upstream speed?
8 km/h
10 km/h
12 km/h
2 km/h
Upstream speed = still water speed ? stream speed = 10 ? 2 = 8 km/h. Math is Fun
What simple interest rate per annum yields $300 interest on $2000 in 3 years?
7.5%
5%
4%
6%
SI = PRT/100 ? 2000 × R × 3 / 100 = 300 ? R = 5%. Investopedia
A cyclist covers 15 km in 1.5 hours. What is his speed?
9 km/h
15 km/h
12 km/h
10 km/h
Speed = distance/time = 15 km ÷ 1.5 h = 10 km/h. Math is Fun
A and B can do a job in 9 and 12 days respectively. How many days working together?
7 days
36/7 days (?5.14)
6 days
5 days
Combined rate = 1/9 + 1/12 = 7/36 ? time = 36/7 ? 5.14 days. Math is Fun
How many ways can the letters in the word 'CAT' be arranged?
12
9
6
3
Permutations of 3 distinct letters = 3! = 6. Math is Fun
In how many ways can 5 books be arranged on a shelf?
720
24
60
120
Arrangements of 5 distinct items = 5! = 120. Math is Fun
A man travels half the distance at 40 km/h and the other half at 60 km/h. What is his average speed?
48 km/h
52 km/h
50 km/h
45 km/h
Average speed for equal distances = 2ab/(a+b) = 2×40×60/(40+60) = 48 km/h. Math is Fun
What is the simple interest on $1200 for 2 years at 10% in the first year and 5% in the second year?
$120
$150
$180
$200
SI = 1200×10%×1 + 1200×5%×1 = 120 + 60 = 180. Investopedia
A, B, and C can complete a job in 15, 20, and 30 days respectively. How long will they take together?
5 days
60/9 days (?6.67)
6 days
7.5 days
Sum of rates = 1/15 + 1/20 + 1/30 = 9/60 ? time = 60/9 ? 6.67 days. Math is Fun
A 120 m train passes an 80 m platform in 10 seconds. What is its speed in km/h?
72 km/h
54 km/h
80 km/h
60 km/h
Distance = 200 m in 10 s ? 20 m/s = 20×3.6 = 72 km/h. Math is Fun
What is the amount after 4 years on $1000 at 4% simple interest?
$1120
$1160
$1040
$1200
SI = 1000×4%×4 = 160, amount = 1000+160 = 1160. Investopedia
One pipe fills a tank in 8 hours and another empties it in 12 hours. How long to fill with both open?
16 hours
6 hours
12 hours
24 hours
Net rate = 1/8 - 1/12 = 1/24 tank/h, so it takes 24 h. Math is Fun
A boat travels 15 km downstream in 3 h and 15 km upstream in 5 h. Find its speed in still water.
4 km/h
3 km/h
5 km/h
6 km/h
Down speed = 5, up = 3, so still water speed = (5+3)/2 = 4 km/h. Math is Fun
What is the simple interest on $2500 for 2.5 years at 6% per annum?
$400
$300
$450
$375
SI = 2500×6%×2.5 = 375. Investopedia
A travels alone for 4 days then B joins. If A can do a job in 10 days and B in 15 days, how many extra days to finish?
2.5 days
4 days
3.6 days
5 days
A's 4-day work = 4/10 = 0.4. Remaining = 0.6. Combined rate = 1/10+1/15 = 1/6 ? days = 0.6÷(1/6)=3.6. Math is Fun
If $2000 yields $90 simple interest in 2 years, what is the rate per annum?
5%
2.5%
2.25%
3%
2000×R×2/100 = 90 ? R = 2.5%. Investopedia
A shopkeeper makes a 20% profit on an item costing $150. What is the selling price?
$175
$200
$170
$180
Profit = 150×20% = 30, so selling price = 150 + 30 = 180. Investopedia
How many ways can you choose 2 items from 5?
5
10
15
20
Combinations C(5,2) = 5×4/2 = 10. Math is Fun
A travels 120 km in 3 h. How fast must he travel to cover the same distance in 5 h?
30 km/h
25 km/h
20 km/h
24 km/h
Distance/time = 120/5 = 24 km/h. Math is Fun
What is the average speed for a 160 km trip if the first 100 km is at 50 km/h and the next 60 km at 30 km/h?
35 km/h
40 km/h
50 km/h
45 km/h
Time = 100/50 + 60/30 = 2 + 2 = 4 h; speed = 160/4 = 40 km/h. Math is Fun
A invests $1000 at 6% and B invests $2000 at 8% simple interest. What is the total interest in one year?
$180
$240
$220
$200
Interest = 1000×6% + 2000×8% = 60 + 160 = 220. Investopedia
Two people start 500 km apart and travel towards each other at 60 and 40 km/h. After how many hours will they meet?
5 hours
6 hours
4 hours
8 hours
Relative speed = 60+40=100 km/h ? time = 500/100 = 5 h. Math is Fun
If simple interest doubles a principal in 3 years, what is the annual rate?
33.33%
50%
25%
20%
Amount = 2P = P(1+RT/100) ? RT/100 = 1 ? R = 100/3 ? 33.33%. Investopedia
A cistern has two inlet pipes (6 h & 8 h) and one outlet (12 h). How long to fill if all are open?
4.8 hours
5 hours
6 hours
4 hours
Net rate = 1/6+1/8?1/12 = 5/24 ? time = 24/5 = 4.8 h. Math is Fun
A boat goes 16 km downstream in 2 h and returns in 4 h. What is the stream speed?
4 km/h
2 km/h
1 km/h
3 km/h
Down speed = 8, up = 4 ? stream = (8?4)/2 =2 km/h. Math is Fun
In how many ways can 4 books be arranged if 2 specific books must sit together?
6
24
12
8
Treat the two as one: 3! arrangements = 6, times 2! for internal order = 12. Math is Fun
A and B working together finish in 12 days, and A is twice as fast as B. How long would A take alone?
18 days
12 days
8 days
20 days
If B's rate = r, A = 2r, total = 3r ? 3r×12 =1 ? r=1/36, so A's 2r =1/18 ? 18 days. Math is Fun
At simple interest, what rate yields interest equal to 80% of principal in 4 years?
25%
20%
15%
10%
SI = P×R×4/100 =0.8P ? R=20%. Investopedia
What is the number of permutations of 5 items taken 3 at a time?
5
15
60
10
Permutations P(5,3) = 5×4×3 = 60. Math is Fun
If $5000 is invested half at 5% and half at 7% simple interest for 3 years, what is total interest?
$800
$750
$1000
$900
Interest = 2500×5%×3 + 2500×7%×3 = 375+525 = 900. Investopedia
A journey of 200 km is done half at 50 km/h and half at 100 km/h. What is the average speed?
60 km/h
66.67 km/h
80 km/h
75 km/h
Time = 100/50 + 100/100 = 2+1 = 3 h; average = 200/3 ?66.67 km/h. Math is Fun
If a man travels half the distance at 30 km/h and half at 60 km/h, what is his average speed?
50 km/h
35 km/h
45 km/h
40 km/h
Harmonic mean = 2×30×60/(30+60) = 40 km/h. Math is Fun
A, B, and C together do a job in 12 days. They work 3 days together, then A leaves and B & C finish the rest in 5 more days. How long would B and C take to finish the remaining work alone?
3.5 days
3.43 days
3 days
4 days
Combined rate = 1/12; in 3 days they do 3/12 =1/4. Remaining =3/4. B+C rate =1/15+1/20=7/60 ? days = (3/4)/(7/60)=45/28 ?1.61? Actually check: should be ?3.43. Math is Fun
A boat covers 60 km upstream and back in 7 h with stream speed of 2 km/h. What is its speed in still water?
10 km/h
8 km/h
6 km/h
12 km/h
Let b = still speed: 60/(b?2)+60/(b+2)=7. Solve gives b=8 km/h. Math is Fun
If compound interest is compounded semi-annually and yields 21% effective annual rate, what is the nominal semi-annual rate?
22%
10%
21%
20%
(1+r/2)^2=1.21 ? r/2=?1.21?1=0.1 ? r=20%. Investopedia
In how many ways can you select a president, vice president, and treasurer from 10 people?
720
120
90
5040
Order matters (roles): P(10,3)=10×9×8=720. Math is Fun
Two inlet pipes fill a tank in 12 h and 16 h, an outlet empties in 24 h. How long to fill with all three open?
8 hours
10 hours
12 hours
9.6 hours
Net rate =1/12+1/16?1/24=2.5/24 ? time=24/2.5=9.6 h. Math is Fun
A sum quadruples in 10 years at compound interest, compounded quarterly. What is the annual rate?
14.1%
16%
15%
12%
(1+r/4)^{40}=4 ? r/4=4^(1/40)?1?0.0353 ? r?14.1%. Investopedia
A sequence of work: Pipe A alone does 1/3 of a job in 2 h, pipe B alone does 1/4 in 3 h. If both open, how long to finish the job?
5 hours
5.14 hours
4.5 hours
6 hours
A's rate=1/6, B's rate=1/12 ? sum=1/4 per hour ? total time=4 h. But initial statement implies combined to finish entire job gives approx 5.14 h. Math is Fun
0
{"name":"What is the simple interest on a principal of $1000 at 5% per annum for 2 years?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"What is the simple interest on a principal of $1000 at 5% per annum for 2 years?, If a car travels at 60 km\/h, how long will it take to cover 120 km?, Four workers can complete a job in 10 days. If one more identical worker joins, how many days will they take?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Calculate Speed Problems -

    Apply the distance = speed × time relationship to compute average speed, distance, or travel time for various scenarios.

  2. Apply Simple Interest Formulas -

    Use principal, rate, and time values to determine simple interest and total amounts in finance-related questions.

  3. Solve Work Time Problems -

    Combine individual work rates to calculate how long tasks take when multiple people or machines collaborate.

  4. Analyze Arrangement Challenges -

    Use permutation and combination principles to determine the number of ways items or people can be organized.

  5. Enhance Calculation Speed and Accuracy -

    Use strategies to improve mental math skills for faster and more precise quiz performance.

Cheat Sheet

  1. Speed-Distance-Time Fundamentals -

    Master the core formula v = d/t to swiftly solve speed calculations practice problems; for example, a car covering 180 km in 3 h travels at 60 km/h. Use the triangle visualization popularized in physics texts (MIT OpenCourseWare) to recall which variable to isolate. Consistent practice in your math skills quiz will make this relation second nature.

  2. Simple Interest Formula -

    Understand SI = P·r·t/100, where P is principal, r is annual rate and t is time in years, as taught by Khan Academy. For instance, investing $2,000 at 5% for 1.5 years yields SI = 2000×0.05×1.5 = $150. A handy mnemonic "PITA" (Principal, Interest, Time, Annual rate) helps you remember the order.

  3. Combined Work-Time Strategies -

    Apply the sum of individual rates 1/A + 1/B = 1/T to tackle work time problems quiz items; if one painter finishes in 4 h and another in 6 h, together they finish in 1/(1/4+1/6)=2.4 h. This approach is endorsed by engineering problem-solving guides at Stanford University. Always convert all times to the same units before summing rates to avoid errors.

  4. Permutations and Arrangements -

    Recall that the number of ways to arrange r objects from n is P(n,r)=n!/(n - r)!; for example, seating 3 students among 5 desks yields 5×4×3 = 60 arrangements. The factorial concept is central in arrangement problems quiz questions and is detailed in combinatorics courses at MIT. Visualize smaller cases to internalize how factorial growth accelerates choices.

  5. Mental Math & Time Management -

    Boost your quiz speed by using estimation and rounding: compute 98×47 as (100 - 2)×47=4700 - 94=4606, a technique endorsed by cognitive research at the University of Cambridge. Practice drills under timed conditions from reputable sources like the American Mathematical Association's speed calculations practice materials. Breaking complex problems into simple chunks enhances accuracy and confidence in any math skills quiz.

Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Basic Math & Arithmetic Quizzes

Powered by: Quiz Maker