Daily Practice · Higher Plus
August 1979 5-a-day
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The batch download puts all 5 tiers' August 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1979On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2nd August 1979Simplify sqrt(50) + sqrt(50), giving your answer in the form a sqrt(b).
- 3rd August 1979The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 4th August 1979A train slows steadily from 35 m/s to rest in 4 seconds. Work out its deceleration.
- 5th August 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.
- 6th August 1979The probability of winning a game is 1/2. A player expects 18 wins. How many games did they play?
- 7th August 1979A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
- 8th August 1979A rectangle is 27 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 9th August 1979A quadratic sequence starts 12, 20, 32, 48. Work out the second difference, and the coefficient of n^2.
- 10th August 1979y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 6.
- 11th August 1979In a vector proof you find that vector PQ = 4a - 3b and vector RS = 20a - 15b. What does this show about PQ and RS?
- 12th August 1979A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 13th August 1979On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 14th August 1979Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
- 15th August 1979Solve x^2 - 3x - 4 < 0.
- 16th August 1979y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
- 17th August 1979A cuboid measures 12 cm by 14 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 18th August 1979A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 19th August 1979A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
- 20th August 1979A block has mass 290 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 21st August 1979Write x^2 - 14x + 7 in the form (x + a)^2 + b.
- 22nd August 1979y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 81.
- 23rd August 1979A cuboid measures 6 cm by 11 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 24th August 1979A bag holds 3 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 25th August 1979On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 26th August 1979x = 156 and y = 102, each correct to the nearest whole number. Work out the upper bound of x - y.
- 27th August 1979Work out the coordinates of the turning point of y = x^2 - 4x - 6.
- 28th August 1979A train slows steadily from 31 m/s to rest in 5 seconds. Work out its deceleration.
- 29th August 1979The 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.
- 30th August 1979A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
- 31st August 1979A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?