SIFT Math Practice Test

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• In the equation 3x + 2 = 11, what is the value of 2x - 1?
• 84 items are evenly distributed into how many boxes if there are 7 boxes?
• Solve for x: 7⋅x + 7 = 4⋅x -- 7
• If 12 is 30% of a number, what is the number?
• A plane accelerates from 0 kt to 180 kt in 9 s at constant acceleration. What is its acceleration in kt/s?
• Simplify the expression: 6x - 3x + 2
• What is the median of the following set of numbers: 3, 7, 8, 12, 14?
• What is 80% of 250?
• A train travels 150 miles in 2.5 hours. What is its average speed?
• What is 40% of 250?
• A petrol pump delivers 15 L in 45 seconds. What is the flow rate in liters per second?
• What is the next number in the sequence: 2, 4, 8, 16, ...?
• If y - 4 = 11, what is y?
• A plane's speed increases from 200 knots to 250 knots. What is the percentage increase in speed?
• Which fraction is equivalent to 0.75?
• A pilot's speed is defined by the formula where distance is 480 nautical miles and time is 2 hours 40 minutes. Which speed is correct?
• Convert the fraction 3/4 into a percentage.
• A ratio of 4:5 corresponds to the values 32 and what?
• If a recipe uses 3 cups of flour for every 2 cups of sugar, what is the flour-to-sugar ratio?
• If 3a = 27, what is a?
• What is 45% of 240?
• If 2/3 of a number equals 14, what is the number?
• Solve for x: 3⋅x + 3 = 9⋅x - 3.
• What is the area of a circle with radius 7? (Use π ≈ 3.14)
• Which value is equivalent to 10% of 250?
• A helicopter needs to climb 3,600 feet in 12 minutes. What is the climbing rate in feet per minute?
• What is the median of: 8, 4, 6, 10, 2?
• Simplify: (2/3) + (3/4). What is the result?
• What is 1.25 as a fraction?
• If a vehicle travels 628 miles in 2 hours, what is its average speed?
• If a car travels 180 miles in 3 hours, what was its average speed?
• What is the solution to the equation 3x + 9 = 0?
• What is 3/4 of 64?
• A triangle has a base of 10 cm and a height of 5 cm. What is its area?
• If a vehicle travels 294 miles in 7 hours, what is its average speed?
• A triangle has sides in the proportion of 3:4:5. If the perimeter is 48 cm, what is the length of the longest side?
• Which of the following fractions is equivalent to 0.75?
• A right triangle has legs of 6 units and 8 units. What is the length of the hypotenuse?
• If a plane travels at an average speed of 180 knots over a distance of 600 nautical miles, how long will the flight take?
• If y/4 = 7, what is the value of y + 3?
• If a car travels 350 miles in 5 hours, what is its average speed?
• A triangle has sides measuring 5 cm, 12 cm, and 13 cm. What is its area?
• What is the value of 9 + 3 × 2?
• Simplify: (5/6) + (7/12). What is the result?
• A tank has a capacity of 120 gallons and is currently 85% filled. How many gallons remain to fill the tank?
• If a vehicle travels 920 miles in 8 hours, what is its average speed?
• If a plane travels 532 miles in 6 hours, what is its average speed?
• What is the area of a circle with radius 8? (Use π ≈ 3.14)
• What is 25% of 200?
• What is the value of 15% of $200?
• 85 items are evenly distributed into 10 boxes. How many per box?
• A car travels 360 mi in 6 hours. How far will it travel in 8 hours at the same rate?
• What is 60% of 290?
• For a circle with a diameter of 14 cm, what is its circumference? (Use π≈3.14)
• Solve for x: 13⋅x + 5 = 9⋅x -- 7
• Solve for x: 10⋅x + 4 = 6⋅x -- 8. What is the value of x?
• If a car travels 180 miles in 3 hours, what is its average speed in mph?
• If a plane ascends 2,400 ft in 8 minutes, what is its rate in feet per minute?
• 36 apples are divided equally among 6 boxes. How many apples are in each box?
• Solve for x: 5⋅x + 3 = 2⋅x - 3.
• A tank holds 60 gallons. If it is 75% full, how many gallons does it contain?
• What is the result of subtracting 45 from 100?
• The ratio of pilots to crew on a flight is 3:7. If there are 50 crew members, how many pilots are there?
• A shirt is discounted 40% off the original $50 price. What is the discount amount?
• What is the area of a rectangle with length 8 and width 5?
• What is the area of a circle with radius 10? (Use π ≈ 3.14)
• If a purchase of $1,200 is split into 6 payments, how much is each payment?
• Solve for x: 7⋅x + 2 = 3⋅x - 6
• Solve for x: 9⋅x + 7 = 6⋅x -- 5
• How many degrees are in a right angle?
• Which of the following represents 60% as a fraction?
• If 54 items are evenly distributed into 6 boxes, how many items are there per box?
• A navigation error of 0.5° over a 600 nmi leg results in how many nautical miles off course?
• Simplify: (1/2) + (2/3)
• What is the sum of 15 and 17?
• What is the next prime number after 31?
• If a plane accelerates from 0 to 180 knots in 9 seconds, how much total speed does it gain?
• What is the least common multiple (LCM) of 4 and 6?
• What is 22% of 150?
• If 60% of a number equals 90, what is that number?
• What is the result of simplifying 27/36?
• Solve for x: 2x + 5 = 17
• Simplify: (4/3) + (2/3)
• What is the mean of the following numbers: 4, 8, 6, 10, 12?
• What is the greatest common divisor (GCD) of 24 and 36?
• Solve for x: 12⋅x + 3 = 9⋅x -- 6. What is the value of x?
• What is the area of a triangle with a base of 10 and height of 5?
• If a vehicle travels 660 miles in 6 hours, what is its average speed?
• If a runner completes a marathon of 26.2 miles in 4 hours, what is their average pace in minutes per mile?
• How many degrees are in a triangle if two angles are 35° and 65°?
• A helicopter travels at 120 mph. How far does it fly in 2.5 hours?
• If 3,600 pounds of fuel is used at a rate of 450 lb/hr, how many gallons will it equate to if 1 gallon weighs 6 lbs?
• What is the value of x in the equation 2x + 8 = 20?
• Solve for x: 10⋅x - 8 = 6⋅x + 4
• A fuel tank has a capacity of 240 gallons. After using 65% of it, how many gallons are left?
• If x = 4, what is the value of 2x² + 3?
• If Engine A uses 4 gallons per hour and Engine B uses 3 gallons per hour, what is the combined fuel consumption over 5 hours?
• What would you get if you subtract 25 from 90?
• What is 38% of 200?
• What is the next number in the sequence: 2, 4, 8, 16, ...?
• What is the slope of a line that passes through (2, 3) and (4, 7)?
• The sides of a right triangle are in the ratio 7:24:25. If the hypotenuse is 50 cm, what is the shorter leg?
• If the perimeter of a rectangle is 20 meters and the length is 6 meters, what is the width?
• What is the area of a circle with a radius of 12? (Use π ≈ 3.14)
• A car travels 150 miles in 3 hours. What is its average speed in miles per hour?
• What is the diameter of a circle with a radius of 7 units?
• A flight consumes fuel at 450 lb/hr. How many hours until 3,600 lb are used?
• How much interest does a loan of $5,000 accrue after 3 years at 6% per year?
• What is the solution for x in the equation 5x + 15 = 50?
• What is the area of a circle with radius 11? (Use π ≈ 3.14)
• Solve for x: 6⋅x + 2 = 5⋅x -- 1
• Which calculation results in the greatest value?
• A part costs $48. After applying a 25% discount, what is the sale price?
• What is the perimeter of a rectangle with a length of 8 and a width of 3?
• Solve for x: 9⋅x + 3 = 6⋅x - 3
• A flight plan covers 600 nautical miles in 3 hours. What is the average speed in knots?
• Please find the difference between 100 and 57.
• What is the square root of 144?
• A purchase of $800 paid in 4 equal installments includes an 8% tax. What is the amount of each payment?
• What is 60% of 180?
• If 42 apples are divided equally among 7 boxes, how many apples per box?
• If you have a standard deck of cards, how many hearts are in the deck?
• If a car travels 60 km in 1 hour, what is its speed in km/h?
• A jacket originally costs $120. If it's marked down 25%, what is the sale price?
• If you have a rectangle length of 10 cm and width of 5 cm, what is its area?
• What is 12% of 375?
• What is 37% of 290?
• What is the solution to x + 5 = -3?
• What is the result of 3x + 4 when x is 4?
• If a car uses 3 gallons to go 75 miles, how many miles per gallon does it get?
• What is ⅗ expressed as a decimal?
• If two mixtures cost $3/kg and $5/kg, what is the blend cost when mixed equally?
• What is the area of a circle with radius 5? (Use π ≈ 3.14)
• If a vehicle travels 585 miles in 5 hours, what is its average speed?
• A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume (use π≈3.14)?
• If speed doubles, by what factor is time reduced?
• If x² = 49, what is the value of x - 3?
• What is the area of a triangle with a base of 10 cm and a height of 5 cm?
• What is the area of a circle with radius 6? (Use π ≈ 3.14)
• Simplify: (x²)(x³)
• If the first payment of an invoice is $3,840, how much is the second payment of $3,360?
• 35 apples are divided equally among 6 boxes. How many apples are in each box?
• If the perimeter of a square is 36 cm, what is the length of one side?
• What is the area of a circle with radius 13? (Use π ≈ 3.14)
• A £1,000 bond yields 5% annually. What is the total interest earned after 2 years?
• A pilot's route measures 360 nautical miles. Traveling at 90 knots, how long will it take in hours?
• A component costs $1,200; it's marked up 18% wholesale, then 25% above that for retail. What is the final price?
• Solve for x: 3⋅x + 4 = x -- 4
• If a rectangle has a length of 10 cm and a width of 5 cm, what is its area?
• What is 30% of 210?
• Solve for x: 4⋅x + 9 = 8⋅x - 9.
• A 20% increase on 150 is:
• A fuel mixture requires 15% oil. How many liters of oil are needed for 80 L of fuel?
• Solve for x: 8x + 2 = 46
• If you divide 100 by 4, what is the result?
• What is the value of 2³?
• Simplify: (5/10) + (3/5)
• If you increase 60 by 15%, what is the result?
• What is 55% of 240?
• Solve for x: 11⋅x + 6 = 7⋅x -- 2
• If 3 pencils cost $2.40, how much does one pencil cost?
• If a = 3 and b = 4, what is the value of a² + b²?
• A 12% discount on a $250 item saves how much?
• Convert 150% to a decimal:
• Which number is a factor of both 18 and 24?
• What is the total cost for 4 rotor blades priced at $1,250 each plus a 7% sales tax?
• What is the area of a circle with radius 14? (Use π ≈ 3.14)
• Evaluate: 3² + 4²
• If a flight had 150 passengers and 10% cancel, how many passengers will still fly?
• A pilot covers 480 nautical miles in 2 hours and 40 minutes. What is the speed in knots?
• What is the next prime number after 7?
• A pilot divides 180 nautical miles evenly over 3 legs. How many nautical miles does each leg consist of?
• A box contains 5 red and 7 white balls. What is the probability of drawing a red ball?
• Simplify: 4(3x - 2) =
• What is the area of a triangle with a base of 10 and a height of 5?
• Simplify: (7/9) + (4/6)
• A rectangle has a perimeter of 50 m and a length of 15 m. What is the width?
• If you roll a fair six-sided die, what is the probability of rolling a 4?
• Simplify: (10 - 4) ÷ 2
• Solve: 5(2x -- 4) = 30
• 78 items are evenly distributed into 6 boxes. How many items are per box?
• If the equation x/5 + 2 = 8 is solved for x, what is the solution?
• What total payment do you make if you buy an item for $1,200 in 6 equal payments?
• What is 45% of 320?
• If a vehicle travels 846 miles in 6 hours, what is its average speed?
• What is the total area of a rectangle that is 5 units long and 3 units wide?
• What is the product of 9 and 7?
• A box has a volume of 100 in³. If height = 5 in and width = 4 in, what is the length?
• What is the value of (4 + 6) ÷ 2?
• What is the value of (3 + 5) × 2?
• What is the sum of the fractions (2/3) + (1/6)?
• If a triangle has angles measuring 40° and 70°, what is the measure of the third angle?
• If 91 items are evenly distributed into 7 boxes, how many items are there per box?
• What is 18% of 225?
• What is the area of a circle with radius 10? (Use π ≈ 3.14)
• What is the value of x in the equation 7x - 5 = 30?
• What is the circumference of a circle with a diameter of 12? (Use π ≈ 3.14)
• How many inches are in 3.5 feet?
• A tank drains at a rate of 5 gallons per minute. How long will it take to empty 600 gallons?
• Given that y/4 = 7, what is the calculated value of y + 3?
• What is the product of 8 and 9?
• A mixture consists of 10 L at $2/L and 20 L at $3/L. What is the average cost per liter of the mixture?
• Simplify: (7/8) + (5/8)
• A fuel tank leaks 2% of its volume per day. After 5 days, what fraction of the tank remains?
• Simplify: (6/5) + (8/8).
• What is the sum of 12 and 15?
• What is 3.5 × 6?
• What is the area of a rectangle with length 10 and width 5?
• If 4 pilots share a total expense of $2,400 equally, how much does each pilot pay?
• A pilot's allowance increases from $2,400 to $2,520. What is the percentage increase?
• Simplify: (3/5) + (7/10)
• What is the sum of 15 and 27?
• A $9,600 invoice is split into three payments of 40%, 35%, and the remainder. What is the third payment?
• If 4x = 28, what is the value of x?
• What is the greatest common divisor of 18 and 24?
• What is the square of 6?
• Solve: (18 ÷ 3) × (4 + 2)
• What is 120% of 50?
• Convert 1500 milliliters to liters.
• What is the equivalent fraction of 0.75?
• What is the least common multiple of 4 and 6?
• What is 2/5 of 100?
• What is 0.75 × 0.4?
• If a triangle has sides of length 3, 4, and 5, what type of triangle is it?
• What is 15% of 200?
• A rectangle's length is twice its width. If the area is 72 square feet, what is the width?
• Which value is closest to √50?
• A mixture is composed of 3 parts A to 2 parts B. How much B is in a 25 L mixture?
• What is the result of 15% of 80?
• In a 7:24:25 triangle, which side corresponds to the longest side?
• If x = 3, what is the value of 2x + 1?
• If a rectangle has length 8 and width 3, what is its perimeter?
• Simplify: 8x - 3(2x + 4)
• A gardener has 160 meters of fencing to enclose a rectangular garden. What is the maximum area of the garden?
• If a car travels 480 miles in 6 hours, what is its average speed?
• Which of the following values is closest to π?
• What is the total sum of the interior angles of a triangle?
• A square has an area of 49 square inches. What is the length of one side?
• What is the sum of the angles in a triangle?
• What is 22% of 460?
• What is the product of 2.5 and 0.4?
• If 40% of a number is 80, what is the number?
• Simplify: (5/6) + (2/3)
• A boat travels 90 miles downstream in 3 hours. What is its average speed?
• Which of the following is equivalent to 0.2?
• If x + 3 = 11, what is the value of 5x?
• How many degrees are in a right angle?
• What is the product of 9 and 7?
• What is the area of a rectangle that is 7 units long and 6 units wide?
• If a plane climbs at a rate of 800 feet per minute, how long will it take to climb 16,000 feet?
• What is the measure of the third angle in a triangle if two angles are 35° and 65°?
• If the diameter of a circle is 14 cm, what is the radius?
• What is 65% of 420?
• If 6 workers complete a task in 8 hours, how long would it take 12 workers?
• Simplify: (4/5) + (3/10)
• A triangle has sides measuring 5 cm, 12 cm, and 13 cm. Is this triangle a right triangle?
• A 30% discount is applied to an item priced at $250. How much does the discount reduce the price?
• A spinner contains 4 red, 6 blue, and 10 green sectors. What is the probability of landing on blue?
• Evaluate: (5² - 3²)
• 67 items are evenly distributed into 10 boxes. How many per box?
• What is the square root of 144?
• Which is greater: 2/3 or 3/5?
• Simplify: (2x + 5) -- (3x -- 2)
• What is ⅖ expressed as a decimal?
• A circle has radius 9. What is its area (π ≈ 3.14)?
• If a jet flies 624 miles in 4 hours, what's its average speed?
• What is the value of x in the equation 3x - 9 = 0?
• Simplify: (6/5) + (5/4).
• Simplify: (2/5) + (1/5)
• Simplify: (1/3) + (2/3)
• A car travels 60 miles in 1.5 hours. What is its average speed?
• What is the perimeter of a rectangle with length 5 and width 3?
• If a map's scale is 1 inch : 50 miles, how many miles correspond to 3.2 inches?
• In the equation 5x - 5 = 20, what is the value of x?
• A plane travels 480 miles in 2 hours. What is its average speed?
• What is 15% of 180?
• What is the total number of sides in a hexagon?
• Solve for x: 6⋅x + 6 = 4⋅x - 6.
• What is the volume of a cube with edge length 5?
• Simplify: (6/7) + (5/14)
• What is the perimeter of a square with side length 9?
• What is 15% of 480?
• What is the cost per kilogram of a 50:50 blend of substances costing $3/kg and $5/kg?