Daily Practice · Higher Plus
November 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1958 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1958A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
- 2nd November 1958x = 97 and y = 68, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3rd November 1958Use the iteration x(n+1) = cube root of (8x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
- 4th November 1958y is inversely proportional to x^2. When x = 4, y = 4. Work out y when x = 2.
- 5th November 1958A cuboid measures 7 cm by 15 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 6th November 1958A bag holds 5 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 7th November 1958On 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?
- 8th November 1958A car covers 380 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.
- 9th November 1958Work out the nth term of the quadratic sequence 11, 25, 47, 77, ...
- 10th November 1958y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 11th November 1958A cuboid measures 13 cm by 9 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 12th November 1958A bag holds 4 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 13th November 1958A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
- 14th November 1958Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
- 15th November 1958The point (4, 3) lies on y = f(x). Write down its image on y = f(x) - 1.
- 16th November 1958y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 36.
- 17th November 1958The 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.
- 18th November 1958A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
- 19th November 1958On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 20th November 1958Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
- 21st November 1958Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 22nd November 1958A train slows steadily from 18 m/s to rest in 5 seconds. Work out its deceleration.
- 23rd November 1958In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 24th November 1958The probability of winning a game is 1/2. A player expects 10 wins. How many games did they play?
- 25th November 1958A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?
- 26th November 1958A rectangle is 24 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 27th November 1958f(x) = 5x - 1 and g(x) = 2x - 7. Work out fg(3).
- 28th November 1958y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
- 29th November 1958In a vector proof you find that vector PQ = 3a - 3b and vector RS = 15a - 15b. What does this show about PQ and RS?
- 30th November 1958A bag holds 7 red and n blue counters. The probability of taking a red is 1/2. Work out n.