Daily Practice · Higher Plus
June 1979 5-a-day
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The batch download puts all 5 tiers' June 1979 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1979A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
- 2nd June 1979On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 3rd June 1979x = 195 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4th June 1979Make x the subject of 8x + 5 = y(x + 5).
- 5th June 1979y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
- 6th June 1979In 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.
- 7th June 1979The probability of winning a game is 1/2. A player expects 28 wins. How many games did they play?
- 8th June 1979A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?
- 9th June 1979A car covers 100 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 10th June 1979Write 7/(x - 6) + 6/(x + 1) as a single fraction.
- 11th June 1979y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 36.
- 12th June 1979In a vector proof you find that vector PQ = 4a - 6b and vector RS = 12a - 18b. What does this show about PQ and RS?
- 13th June 1979A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 14th June 1979On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 15th June 1979Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
- 16th June 1979Solve 4x^2 + 8x + 3 = 0.
- 17th June 1979A train slows steadily from 16 m/s to rest in 10 seconds. Work out its deceleration.
- 18th June 1979A cuboid measures 3 cm by 5 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 19th June 1979A 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?
- 20th June 1979A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?
- 21st June 1979Simplify sqrt(72) + sqrt(2), giving your answer in the form a sqrt(b).
- 22nd June 1979f(x) = 5x - 2. Work out the inverse function f^-1(x).
- 23rd June 1979y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
- 24th June 1979A cuboid measures 8 cm by 4 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 25th June 1979A bag holds 6 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 26th June 1979On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 27th June 1979A rectangle is 16 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 28th June 1979Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
- 29th June 1979y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
- 30th June 1979The 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.