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MATH Flashcards

16 cards from real GCSE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. Choose a word from the list provided to finish the phrase. 10 is _____________ of 5.

    Answer: A multiple

    A multiple of a number is the result of multiplying that number by an integer. In this case, 10 is obtained by multiplying 5 by the integer 2 (5 x 2 = 10). Therefore, 10 is a multiple of 5.

  2. There are 800 pupils traveling on the school bus. A bus can accommodate 34 students. Determine how many buses will be required to transport all of the pupils.

    Answer: 24

    To determine the number of buses required, divide the total number of pupils by the capacity of one bus: 800 ÷ 34 ≈ 23.53. Since you cannot have a fraction of a bus and all pupils must be transported, you must round up to the next whole number. Therefore, 24 buses are needed.

  3. Calculate 9 - 2x = 3 (x + 2)

    Answer: x = 3/5

    First, distribute the 3 on the right side of the equation: 9 - 2x = 3x + 6. Next, gather the x terms on one side by adding 2x to both sides, resulting in 9 = 5x + 6. Then, subtract 6 from both sides to isolate the x term: 3 = 5x. Finally, divide by 5 to solve for x, which gives x = 3/5.

  4. Workout 80 times in 4/5.

    Answer: 64

    To 'workout 80 times in 4/5' means to calculate 4/5 of 80. You can do this by multiplying 80 by the fraction 4/5. This calculation is (80 ÷ 5) × 4, which equals 16 × 4. The final result is 64.

  5. 9, 10, 25, 32, 49, 55, 69, 80a) Write down two numbers that add up to 57b) Write down an 8 multiple c) Write down a square number from the list

    Answer: 32 and 25 b) 32 c) 25

    For part a), the numbers 32 and 25 from the list add up to 57 (32 + 25 = 57). For part b), a multiple of 8 is a number that can be divided by 8 without a remainder; 32 is 8 multiplied by 4. For part c), a square number is the result of an integer multiplied by itself; 25 is 5 multiplied by 5.

  6. A) How would you write 60% as a fraction? b) Numbers below should be written in the following order: 70%, 3/4, 0.6, and 2/3.

    Answer: 3/5 b) 2/3, 0.6, 70%, 3/4

    For part a), 60% as a fraction is 60/100, which simplifies to 3/5. For part b), convert all values to decimals for easy comparison: 0.6 = 0.6, 2/3 ≈ 0.667, 70% = 0.7, 3/4 = 0.75. Arranging these in ascending order gives 0.6, 2/3, 70%, 3/4.

  7. The following sequence is provided: 3, 7, 11, 15, __, __, . A) locate the following three terms. B) determine this sequence's n-term rule c) What is the sequence's 100th term.

    Answer: 19, 23, 27 b) 4n -1 c) 399

    The sequence increases by 4 each time (3, 7, 11, 15). So, the next three terms are 15+4=19, 19+4=23, 23+4=27. The n-term rule is 4n - 1 (since 4n gives 4, 8, 12, 16, and we need to subtract 1 to get 3, 7, 11, 15). For the 100th term, substitute n=100 into the rule: 4(100) - 1 = 400 - 1 = 399.

  8. Mike is skewed like a coin. There is a 0.4 percent chance that it will land on heads. 350 times of the coin will be spun by Mike. Calculate how often the heads will fall.

    Answer: 140

    To calculate how often heads will fall, multiply the total number of coin spins by the probability of landing on heads. The probability is given as 0.4. So, 350 spins multiplied by 0.4 equals 140. Mike can expect the coin to land on heads 140 times.

  9. 1 centimeter on a map equals 2 kilometers. Which measurement on the map corresponds to a real distance of a) 10 km, b) 22 km, or c) 7 km?

    Answer: 5cm b) 11cm c) 3.5cm

    The map scale is 1 cm = 2 km. To find the map distance for a real distance, divide the real distance by 2. For a) 10 km / 2 = 5 cm. For b) 22 km / 2 = 11 cm. For c) 7 km / 2 = 3.5 cm.

  10. All regular prices are lowered by 15% during a discount. A jacket usually costs £42. In the transaction, John purchases the jacket. Calculate the jacket's retail price.

    Answer: £35.70

    A 15% discount means the jacket's price is 100% - 15% = 85% of its original cost. To find the retail price, multiply the original price (£42) by 0.85. So, £42 × 0.85 = £35.70.

  11. What is meant by the word "correlation"?

    Answer: Relationship

    In statistics, 'correlation' describes the statistical relationship between two or more variables. It indicates the extent to which these variables tend to change together. A positive correlation means they increase or decrease in tandem, while a negative correlation means one tends to increase as the other decreases.

  12. What does the word "gradient" mean?

    Answer: The slope of a line or curve at a given point

    The 'gradient' of a line or curve, also known as its slope, measures its steepness. For a straight line, it's a constant value representing the change in the y-axis divided by the change in the x-axis. For a curve, the gradient varies and is defined by the slope of the tangent line at a specific point.

  13. What exactly does "relative frequency" mean?

    Answer: The proportion of succesful trials in a experiment

    Relative frequency is the proportion of times a specific event or outcome occurs in an experiment or set of trials. It is calculated by dividing the number of successful trials (where the event occurred) by the total number of trials conducted. It provides an estimate of the probability of an event.

  14. What exactly is a "hypotenuse"?

    Answer: the longest side of a right angled triangle

    In a right-angled triangle, the hypotenuse is the side that is directly opposite the right angle (90-degree angle). It is always the longest side of the triangle. The Pythagorean theorem relates the lengths of the two shorter sides (legs) to the length of the hypotenuse.

  15. What is a list of numbers' "median" defined as?

    Answer: The middle value after the numbers have been arranged in numerical order

    The median of a list of numbers is the middle value when the numbers are arranged in numerical order (either ascending or descending). If there is an odd number of values, the median is the single middle number. If there is an even number of values, the median is the average of the two middle numbers.

  16. What exactly does the phrase "transformation" mean?

    Answer: change

    In a general sense, 'transformation' refers to a significant change in the form, nature, or appearance of something. In mathematics, it describes a function that changes the position, size, or orientation of a geometric figure, such as a translation, rotation, reflection, or dilation.