Daily Practice · Higher Plus
November 1985 5-a-day
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The batch download puts all 5 tiers' November 1985 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1985In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 2nd November 1985The probability of winning a game is 3/4. A player expects 33 wins. How many games did they play?
- 3rd November 1985A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
- 4th November 1985A block has mass 210 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5th November 1985Make x the subject of 5x + 6 = y(x + 6).
- 6th November 1985y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.
- 7th November 1985In a vector proof you find that vector PQ = 3a - 4b and vector RS = 15a - 20b. What does this show about PQ and RS?
- 8th November 1985A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 9th November 1985On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 10th November 1985x = 152 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
- 11th November 1985Write 7/(x - 2) + 6/(x + 4) as a single fraction.
- 12th November 1985y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 13th November 1985A cuboid measures 5 cm by 6 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 14th November 1985A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 15th November 1985A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
- 16th November 1985A car covers 580 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.
- 17th November 1985Solve 3x^2 + 8x - 16 = 0.
- 18th November 1985y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 81.
- 19th November 1985A cuboid measures 14 cm by 5 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 20th November 1985A bag holds 7 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 21st November 1985On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 22nd November 1985Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
- 23rd November 1985f(x) = 2x - 6. Work out the inverse function f^-1(x).
- 24th November 1985A train slows steadily from 34 m/s to rest in 10 seconds. Work out its deceleration.
- 25th November 1985The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 26th November 1985A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.
- 27th November 1985A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
- 28th November 1985Simplify sqrt(50) + sqrt(32), giving your answer in the form a sqrt(b).
- 29th November 1985Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
- 30th November 1985y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.