Daily Practice · Higher Plus
May 1976 5-a-day
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The batch download puts all 5 tiers' May 1976 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1976A car covers 240 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2nd May 1976In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 3rd May 1976y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 4th May 1976A cuboid measures 3 cm by 3 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 5th May 1976A bag holds 8 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 6th May 1976A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
- 7th May 1976Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
- 8th May 1976Make x the subject of 7x + 2 = y(x + 2).
- 9th May 1976y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 4.
- 10th May 1976A cuboid measures 14 cm by 14 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 11th May 1976A bag holds 5 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 12th May 1976On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 13th May 1976Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
- 14th May 1976Write 3/(x + 6) + 3/(x - 5) as a single fraction.
- 15th May 1976A train slows steadily from 29 m/s to rest in 10 seconds. Work out its deceleration.
- 16th May 1976The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 17th May 1976A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
- 18th May 1976A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 0.8. How many values in total?
- 19th May 1976A rectangle is 7 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 20th May 1976Solve 6x^2 + 17x + 5 = 0.
- 21st May 1976y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
- 22nd May 1976In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 23rd May 1976The probability of winning a game is 1/4. A player expects 10 wins. How many games did they play?
- 24th May 1976On 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?
- 25th May 1976Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
- 26th May 1976f(x) = 8x + 8. Work out the inverse function f^-1(x).
- 27th May 1976y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 28th May 1976In a vector proof you find that vector PQ = 5a + 5b and vector RS = 10a + 10b. What does this show about PQ and RS?
- 29th May 1976A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
- 30th May 1976A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
- 31st May 1976A block has mass 790 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.