Daily Practice · Higher Plus
June 1980 5-a-day
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The batch download puts all 5 tiers' June 1980 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1980The probability of winning a game is 1/8. A player expects 9 wins. How many games did they play?
- 2nd June 1980A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
- 3rd June 1980Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
- 4th June 1980The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 5th June 1980y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 9.
- 6th June 1980In a vector proof you find that vector PQ = 6a - 6b and vector RS = 12a - 12b. What does this show about PQ and RS?
- 7th June 1980A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.
- 8th June 1980On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 9th June 1980A block has mass 500 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.
- 10th June 1980A quadratic sequence starts 8, 13, 24, 41. Work out the second difference, and the coefficient of n^2.
- 11th June 1980A train slows steadily from 12 m/s to rest in 5 seconds. Work out its deceleration.
- 12th June 1980A cuboid measures 14 cm by 11 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th June 1980A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 14th June 1980A histogram has two bars: one 10 units wide with frequency density 1.2, one 25 units wide with density 0.8. How many values in total?
- 15th June 1980x = 133 and y = 121, each correct to the nearest whole number. Work out the upper bound of x - y.
- 16th June 1980Solve x^2 - 11x + 18 < 0.
- 17th June 1980y is inversely proportional to x^2. When x = 4, y = 108. Work out y when x = 6.
- 18th June 1980A cuboid measures 13 cm by 10 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th June 1980A bag holds 6 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th June 1980On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 21st June 1980A car covers 570 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 22nd June 1980Write x^2 - 16x - 14 in the form (x + a)^2 + b.
- 23rd June 1980y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
- 24th June 1980The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 25th June 1980A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/45. Work out r.
- 26th June 1980A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
- 27th June 1980Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
- 28th June 1980Work out the coordinates of the turning point of y = x^2 - 14x - 4.
- 29th June 1980y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 9.
- 30th June 1980In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.