Daily Practice · Higher Plus
November 1979 5-a-day
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The batch download puts all 5 tiers' November 1979 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1979Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 2nd November 1979y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 36.
- 3rd November 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.
- 4th November 1979The probability of winning a game is 3/5. A player expects 36 wins. How many games did they play?
- 5th November 1979On 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?
- 6th November 1979Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
- 7th November 1979f(x) = 2x + 5 and g(x) = 5x + 6. Work out fg(-3).
- 8th November 1979A train slows steadily from 15 m/s to rest in 4 seconds. Work out its deceleration.
- 9th November 1979In a vector proof you find that vector PQ = 3a - 6b and vector RS = 12a - 24b. What does this show about PQ and RS?
- 10th November 1979A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 11th November 1979A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?
- 12th November 1979A block has mass 620 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.
- 13th November 1979The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 14th November 1979y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
- 15th November 1979A cuboid measures 11 cm by 15 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 16th November 1979A bag holds 7 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 17th November 1979On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 18th November 1979x = 109 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
- 19th November 1979A quadratic sequence starts 13, 21, 31, 43. Work out the second difference, and the coefficient of n^2.
- 20th November 1979y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
- 21st November 1979A cuboid measures 14 cm by 14 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 22nd November 1979A bag holds 7 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 23rd November 1979A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 0.8. How many values in total?
- 24th November 1979A car covers 640 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.
- 25th November 1979Solve x^2 - 7x + 6 > 0.
- 26th November 1979y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 81.
- 27th November 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.
- 28th November 1979A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.
- 29th November 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?
- 30th November 1979Rationalise the denominator of 66/sqrt(11), giving your answer in its simplest form.