Daily Practice · Higher Plus
May 1969 5-a-day
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The batch download puts all 5 tiers' May 1969 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1969On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2nd May 1969Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
- 3rd May 1969Simplify (x^2 + 3x + 2)/(x + 2).
- 4th May 1969A train slows steadily from 35 m/s to rest in 4 seconds. Work out its deceleration.
- 5th May 1969In a vector proof you find that vector PQ = 3a + 2b and vector RS = 6a + 4b. What does this show about PQ and RS?
- 6th May 1969A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 7th May 1969A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 0.8. How many values in total?
- 8th May 1969Simplify sqrt(8) + sqrt(98), giving your answer in the form a sqrt(b).
- 9th May 1969In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 10th May 1969y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
- 11th May 1969A cuboid measures 5 cm by 10 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 12th May 1969A bag holds 5 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 13th May 1969On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 14th May 1969A rectangle is 4 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 15th May 1969Make x the subject of 5x + 5 = y(x + 5).
- 16th May 1969y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 17th May 1969A cuboid measures 12 cm by 6 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 18th May 1969A bag holds 6 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 19th May 1969A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
- 20th May 1969Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).
- 21st May 1969Write 3/(x - 1) + 7/(x + 1) as a single fraction.
- 22nd May 1969y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 49.
- 23rd May 1969The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 24th May 1969A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
- 25th May 1969On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 26th May 1969A block has mass 270 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 27th May 1969Solve 16x^2 - 8x - 3 = 0.
- 28th May 1969A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.
- 29th May 1969In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 30th May 1969The probability of winning a game is 2/5. A player expects 12 wins. How many games did they play?
- 31st May 1969A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?