Daily Practice · Higher Plus
February 1962 5-a-day
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The batch download puts all 5 tiers' February 1962 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1962A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 3. How many values in total?
- 2nd February 1962Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
- 3rd February 1962In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 4th February 1962y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 49.
- 5th February 1962In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 6th February 1962The probability of winning a game is 5/8. A player expects 75 wins. How many games did they play?
- 7th February 1962On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 8th February 1962Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 9th February 1962Make x the subject of 7x + 3 = y(x + 3).
- 10th February 1962A train slows steadily from 37 m/s to rest in 4 seconds. Work out its deceleration.
- 11th February 1962In a vector proof you find that vector PQ = 3a + 4b and vector RS = 9a + 12b. What does this show about PQ and RS?
- 12th February 1962A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 13th February 1962A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
- 14th February 1962A rectangle is 25 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 15th February 1962Write 7/(x + 5) + 7/(x + 3) as a single fraction.
- 16th February 1962y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
- 17th February 1962A cuboid measures 4 cm by 12 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 18th February 1962A bag holds 7 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 19th February 1962On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 20th February 1962Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
- 21st February 1962Solve 4x^2 - 4x - 3 = 0.
- 22nd February 1962y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 23rd February 1962A cuboid measures 13 cm by 11 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 24th February 1962A bag holds 6 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 25th February 1962A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
- 26th February 1962A block has mass 730 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 27th February 1962f(x) = 5x - 6. Work out the inverse function f^-1(x).
- 28th February 1962y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 16.