Daily Practice · Higher Plus
November 1976 5-a-day
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The batch download puts all 5 tiers' November 1976 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1976A 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?
- 2nd November 1976A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 3rd November 1976A rectangle is 22 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4th November 1976Write x^2 - 12x - 10 in the form (x + a)^2 + b.
- 5th November 1976y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 6th November 1976A cuboid measures 4 cm by 6 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 7th November 1976A bag holds 3 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 8th November 1976On 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 November 1976Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
- 10th November 1976Work out the coordinates of the turning point of y = x^2 + 6x + 9.
- 11th November 1976y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 12th November 1976The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
- 13th November 1976A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.
- 14th November 1976A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?
- 15th November 1976A block has mass 580 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 16th November 1976Simplify (x^2 + 2x - 24)/(x - 4).
- 17th November 1976y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 81.
- 18th November 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.
- 19th November 1976The probability of winning a game is 1/8. A player expects 5 wins. How many games did they play?
- 20th November 1976On 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?
- 21st November 1976x = 73 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.
- 22nd November 1976In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 23rd November 1976A train slows steadily from 35 m/s to rest in 5 seconds. Work out its deceleration.
- 24th November 1976In a vector proof you find that vector PQ = 5a + 4b and vector RS = 25a + 20b. What does this show about PQ and RS?
- 25th November 1976A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
- 26th November 1976A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
- 27th November 1976A car covers 480 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 28th November 1976Make x the subject of 4x + 8 = y(x + 8).
- 29th November 1976y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
- 30th November 1976A cuboid measures 5 cm by 4 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.