id
stringlengths
12
12
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stringlengths
11
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22 values
be1510dc0fe0
What is the equivalent resistance of three 6Ω resistors connected in parallel?
math-adjacent science (English)
d0e6bf98f8e2
A ramp is 4 m long and 1 m high. What is the mechanical advantage?
math-adjacent science (English)
1925bd151cbe
If ethanol has a density of 0.789 g/mL, what is the mass of 250 mL?
math-adjacent science (English)
f2916171aac3
A sound wave has intensity 10^-2 W/m². What is its intensity level in decibels? (I₀ = 10^-12 W/m²)
math-adjacent science (English)
745e33c21f00
What is the angular velocity of a wheel making 5 revolutions per second?
math-adjacent science (English)
eb4f00307fce
A 10 kg object is on a surface with coefficient of friction 0.3. What is the friction force? (g = 10 m/s²)
math-adjacent science (English)
3417517353de
How many grams of NaOH (molar mass 40 g/mol) are needed to make 500 mL of a 2 M solution?
math-adjacent science (English)
e7f23226abfd
A spacecraft re-entering the atmosphere converts 500,000 J of kinetic energy to heat. If its mass is 1000 kg, how much did its speed decrease from initial speed 1000 m/s? (KE = ½mv²)
math-adjacent science (English)
e7ac5fd9d1ee
What is the pressure at a depth of 10 m in water? (density = 1000 kg/m³, g = 9.8 m/s², atmospheric pressure = 101325 Pa)
math-adjacent science (English)
519d623aefd2
A simple pendulum is 1 m long. What is its period? (g = 9.8 m/s², π ≈ 3.14)
math-adjacent science (English)
6246c052bc7c
How many electrons pass through a wire in 1 second if current is 1 A? (charge of electron = 1.6 × 10^-19 C)
math-adjacent science (English)
90dac148b2f0
Calculate the efficiency of an engine that does 300 J of useful work for every 1000 J of fuel energy.
math-adjacent science (English)
e0bfa4aafae5
A buffer solution contains 0.1 mol acetic acid and 0.1 mol acetate. If pKa = 4.74, what is the pH?
math-adjacent science (English)
0be55be05421
What is the net force on a 4 kg object accelerating at 2.5 m/s²?
math-adjacent science (English)
be077512bf4d
A 2000 W heater runs for 30 minutes. How many kilojoules of energy does it produce?
math-adjacent science (English)
4251cd23b529
If the half-life of carbon-14 is 5730 years, what fraction remains after 11460 years?
math-adjacent science (English)
b9a4fec9c902
Light hits a surface at an angle of 30° from the normal and refracts at 45°. What is the refractive index of the medium?
math-adjacent science (English)
806b51f9f5dd
A wire loop of area 0.05 m² is in a magnetic field of 0.4 T. If the field drops to zero in 0.1 s, what is the induced EMF?
math-adjacent science (English)
ce4a23f4e601
What is the molar mass of glucose (C₆H₁₂O₆)?
math-adjacent science (English)
72d0dbe84e6a
An object with mass 2 kg moving at 6 m/s collides with a stationary 2 kg object and they stick together. What is their combined speed?
math-adjacent science (English)
d440da239770
A nuclear reactor produces 500 MW of power. How many joules does it produce in one day?
math-adjacent science (English)
ce82586e451c
If 50 mL of 1 M H₂SO₄ is neutralized by NaOH solution, how many moles of NaOH are required?
math-adjacent science (English)
96fc375b5c4f
What is the centripetal acceleration of a car moving at 20 m/s around a curve with radius 80 m?
math-adjacent science (English)
eab8cada9f05
A radioactive isotope decays from 100 g to 25 g in 20 years. What is its half-life?
math-adjacent science (English)
94c196736a20
If I earn $4,500/month and spend $1,200 on rent, $400 on food, $300 on utilities, how much do I have left?
financial/practical math (English)
742e33c994df
I want to leave a 20% tip on a $67 bill. How much should I leave?
financial/practical math (English)
9333ddd72fed
A recipe calls for 2/3 cup of sugar but I'm tripling it. How much sugar do I need?
financial/practical math (English)
d6ba86764d24
My grocery bill was $84.50 and I have a 15% off coupon. What do I pay?
financial/practical math (English)
647ed99bb462
I make $18 per hour and worked 37.5 hours this week. What's my gross pay?
financial/practical math (English)
511d80e55b70
A recipe serves 4 but I need to feed 10 people. If it calls for 1.5 cups of flour, how much do I need?
financial/practical math (English)
684a4b488d4a
I want to split a $243 dinner bill evenly among 6 people. How much does each person owe?
financial/practical math (English)
d0b06213b8bb
My car gets 28 miles per gallon and gas costs $3.45 per gallon. How much will a 350-mile trip cost?
financial/practical math (English)
a590107e2477
I need to convert 5 cups to tablespoons for a recipe. How many tablespoons is that?
financial/practical math (English)
2b3e976d8b59
If I save $275 every month, how much will I have saved after 18 months?
financial/practical math (English)
cb1c7cb3c288
A shirt costs $45 and is 30% off. What's the sale price?
financial/practical math (English)
700db89f5b98
I earn $52,000 a year. What is my approximate monthly take-home if taxes are about 22%?
financial/practical math (English)
8d6d3299a570
My electricity bill went from $95 to $112. What percentage increase is that?
financial/practical math (English)
25b564ee85ab
I need 3/4 pound of cheese but the store sells it by the ounce. How many ounces should I buy?
financial/practical math (English)
7326acc31e76
If a dozen eggs costs $4.80, how much does each egg cost?
financial/practical math (English)
cc466e3e0231
I'm buying flooring for a room that's 12 feet by 14 feet. How many square feet do I need?
financial/practical math (English)
d4375b1debdd
A recipe calls for 250 grams of butter. I only have a measuring cup. How many cups is that approximately?
financial/practical math (English)
04f117ad93cc
I have $1,800 in my account and need to pay $640 rent, $85 phone bill, and $210 for groceries. What's left?
financial/practical math (English)
c6363f3d8e2f
I want to tip 18% on a $52.75 restaurant bill. How much is the tip?
financial/practical math (English)
220d553e8456
Gas costs $3.89 per gallon and my tank holds 14 gallons. How much does a full tank cost?
financial/practical math (English)
64a1ff293394
I'm halving a recipe that calls for 3/4 cup of milk. How much milk do I need?
financial/practical math (English)
eb04bcf261cd
A 12-ounce bag of coffee costs $8.99. What's the price per ounce?
financial/practical math (English)
1fb801ec7ed4
If I spend $340 on groceries per month, how much is that per week?
financial/practical math (English)
f130b0a144a0
My rent is $1,450 and that's 30% of my monthly income. What's my monthly income?
financial/practical math (English)
f2eaf014db6e
I need to make 5 batches of cookies. Each batch needs 2.25 cups of oats. How many cups total?
financial/practical math (English)
d42b7cb99d03
A store charges $2.49 per pound for apples. If I buy 3.5 pounds, what's the total?
financial/practical math (English)
c5fd1fd2f07a
I earn $22/hour and work 40 hours a week. What's my annual salary?
financial/practical math (English)
2eebf66eccc8
I want to save 10% of my $3,200 monthly paycheck. How much should I set aside each month?
financial/practical math (English)
c7eb36f22211
A 16-ounce bottle of shampoo costs $6.40. A 24-ounce bottle costs $8.88. Which is a better deal per ounce?
financial/practical math (English)
e125c61114b1
I drove 423 miles and used 15.5 gallons of gas. What was my fuel efficiency in mpg?
financial/practical math (English)
7558f32296b8
My restaurant bill is $38 and I want to leave a 25% tip. How much total will I pay including the tip?
financial/practical math (English)
2fb24cc29ec3
I'm converting a European recipe that calls for 180°C. What temperature is that in Fahrenheit?
financial/practical math (English)
bc446c010fa5
I have $500 for groceries this month and already spent $187.63. How much do I have left?
financial/practical math (English)
49922eb2ad9a
A bag of rice is 5 lbs and costs $6.25. Another bag is 8 lbs and costs $9.60. Which is cheaper per pound?
financial/practical math (English)
aee7dfdd232a
If I bike 12 miles in 45 minutes, what is my average speed in miles per hour?
financial/practical math (English)
6c6d2ea5b042
My water bill averages $65/month. How much do I spend on water per year?
financial/practical math (English)
2de06af582b4
A cocktail recipe calls for 1.5 oz of spirits per serving. I'm making it for 8 people. How many ounces total?
financial/practical math (English)
95940e13ed86
I'm painting a wall that's 9 feet tall and 15 feet wide. How many square feet is that?
financial/practical math (English)
fe102f6fabe5
I have 2 liters of juice and each serving is 250 ml. How many servings do I have?
financial/practical math (English)
65ebc78858e7
My phone plan costs $45/month plus $0.10 per text. I sent 85 texts this month. What's my bill?
financial/practical math (English)
cf9264b077f3
A roast needs to cook for 20 minutes per pound. My roast is 4.5 lbs. How long does it need to cook?
financial/practical math (English)
8749a6399c51
I spend $6.50 on coffee every weekday. How much is that per year?
financial/practical math (English)
4f643ed84a47
I need to mix a cleaning solution that's 1 part bleach to 9 parts water. If I need 5 liters total, how much bleach do I use?
financial/practical math (English)
35616261b548
My salary is $58,500 a year. What is that per hour assuming 40-hour weeks and 52 weeks?
financial/practical math (English)
11eac0408d75
A pizza is $14.99 and feeds 3 people. A larger pizza is $19.99 and feeds 5. Which is cheaper per person?
financial/practical math (English)
931163cceb6f
I need to convert 6.5 feet to inches for a furniture measurement.
financial/practical math (English)
20da5b4eed11
I bought 4 items costing $12.99, $8.50, $22.00, and $5.75. What's my total before tax?
financial/practical math (English)
15d4c26291fa
My gym membership is $35/month. How much do I spend on it per year?
financial/practical math (English)
95a0f829da40
If I drink 8 glasses of water a day and each glass is 8 oz, how many gallons of water is that per week?
financial/practical math (English)
176e324e6c93
A flight costs $387 per person. I'm buying tickets for my family of 4. What's the total cost?
financial/practical math (English)
a2058fcaa480
I need to reduce a recipe by one-third. It calls for 1.5 cups of broth. How much should I use?
financial/practical math (English)
b3b0278106cb
My hourly rate is $25 and I worked 6.75 hours yesterday. How much did I earn?
financial/practical math (English)
7909e91359c5
A store offers buy 2 get 1 free on items that cost $7.99 each. How much do I save if I buy 3?
financial/practical math (English)
5b0d48b43150
I need to paint a fence that's 45 feet long and 4 feet tall. How many square feet of surface area is that?
financial/practical math (English)
df5da3d9bb80
If eggs cost $5.40 per dozen and butter costs $4.25 per pound, what's the total for 2 dozen eggs and 3 pounds of butter?
financial/practical math (English)
cf1b4d2b3df9
I'm splitting a $56 Uber fare with 3 friends. How much does each person pay?
financial/practical math (English)
2b7f77d1acfb
My internet bill went from $59.99 to $74.99. How much more am I paying per year?
financial/practical math (English)
3b4dbf2e1e00
A cookie recipe needs 2 cups of chocolate chips for 24 cookies. I want to make 36 cookies. How many cups do I need?
financial/practical math (English)
19f728bd356c
I drive 22 miles to work each way, 5 days a week. How many miles do I drive for work each month (4 weeks)?
financial/practical math (English)
421bed35006a
I have a 15% off coupon and the item costs $129.99. What is the final price?
financial/practical math (English)
1d3ac08b1ad7
If I put $50 into savings every week, how much will I have after one year?
financial/practical math (English)
cf9155383ce1
A lemonade recipe needs 3/4 cup of lemon juice for 8 servings. How much do I need for 20 servings?
financial/practical math (English)
210817d873c4
My budget allows $200/month for dining out. I've already spent $67 and $43. How much do I have left?
financial/practical math (English)
23aee6619f28
I buy a $6 lunch every workday. How much do I spend on lunches in a 5-day workweek month?
financial/practical math (English)
9ff2a6f2cc72
A 2-liter bottle of soda costs $2.29. A 6-pack of 12-oz cans costs $4.99. Which gives more soda for the money?
financial/practical math (English)
c068f547585e
I need 400 grams of ground beef but the store labels are in pounds. How many pounds should I buy?
financial/practical math (English)
3926b252fc0e
My heating bill averages $145 in winter months (5 months) and $30 in other months. What's my average monthly bill for the year?
financial/practical math (English)
9b20e9546f36
A recipe calls for 1 tablespoon of vanilla. I'm making a half batch. How many teaspoons do I need?
financial/practical math (English)
74108f8737d1
I earn $16.50/hour as a server plus tips. I worked 32 hours and got $215 in tips. What was my total earnings?
financial/practical math (English)
72391c05eac7
I bought a jacket for $89 but it was already 40% off the original price. What was the original price?
financial/practical math (English)
8a6327a4b080
I need to tile a bathroom floor that's 8 feet by 7 feet. Tiles come in boxes covering 10 square feet each. How many boxes do I need?
financial/practical math (English)
17c5df0c5ae4
My car insurance went from $112/month to $98/month. How much do I save per year?
financial/practical math (English)
a5422cbe5896
A punch recipe calls for 3 cups of juice for every 1 cup of soda. I want to make 16 cups total. How much juice do I need?
financial/practical math (English)
2d565f4d5b87
I want to leave a 15% tip on a bill of $47.60. How much is the tip?
financial/practical math (English)
3a7badadc752
If I earn $2,800 after taxes each month, and my fixed expenses total $1,950, what percentage of my income is left over?
financial/practical math (English)
d004e777ec44
My streaming services cost $8.99, $13.99, and $6.99 per month. How much do I spend on streaming per year?
financial/practical math (English)