Daily Practice · Higher Plus
May 1979 5-a-day
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The batch download puts all 5 tiers' May 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1979The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 2nd May 1979A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
- 3rd May 1979A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 1.4. How many values in total?
- 4th May 1979Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.
- 5th May 1979Solve x^2 - 5x > 0.
- 6th May 1979y is inversely proportional to x^2. When x = 3, y = 48. Work out y when x = 4.
- 7th May 1979In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 8th May 1979The probability of winning a game is 3/8. A player expects 15 wins. How many games did they play?
- 9th May 1979On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 10th May 1979Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).
- 11th May 1979Write x^2 - 12x - 12 in the form (x + a)^2 + b.
- 12th May 1979y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
- 13th May 1979In a vector proof you find that vector PQ = 6a - 3b and vector RS = 12a - 6b. What does this show about PQ and RS?
- 14th May 1979A bag holds 5 red and n blue counters. The probability of taking a red is 5/11. Work out n.
- 15th May 1979A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.8. How many values in total?
- 16th May 1979A rectangle is 23 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 17th May 1979Work out the coordinates of the turning point of y = x^2 - 12x + 6.
- 18th May 1979y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 25.
- 19th May 1979A cuboid measures 8 cm by 15 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 20th May 1979A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 21st May 1979On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 22nd May 1979Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
- 23rd May 1979Simplify (x^2 - 2x - 48)/(x - 8).
- 24th May 1979A train slows steadily from 38 m/s to rest in 10 seconds. Work out its deceleration.
- 25th May 1979A cuboid measures 8 cm by 10 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 26th May 1979A bag holds 3 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 27th May 1979A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
- 28th May 1979A block has mass 420 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 29th May 1979In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 30th May 1979y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.
- 31st May 1979The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.