Daily Practice · Higher Plus
October 1994 - Higher Plus 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1994Simplify (x^2 - 10x + 24)/(x - 4).
- 2nd October 1994y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 4.
- 3rd October 1994A cuboid measures 10 cm by 6 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4th October 1994A bag holds 4 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5th October 1994On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 6th October 1994Simplify sqrt(45) + sqrt(180), giving your answer in the form a sqrt(b).
- 7th October 1994In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
- 8th October 1994A train slows steadily from 29 m/s to rest in 10 seconds. Work out its deceleration.
- 9th October 1994The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 10th October 1994A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
- 11th October 1994A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 1.4. How many values in total?
- 12th October 1994A rectangle is 7 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 13th October 1994Make x the subject of 8x + 6 = y(x + 6).
- 14th October 1994y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
- 15th October 1994In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.
- 16th October 1994The probability of winning a game is 1/10. A player expects 7 wins. How many games did they play?
- 17th October 1994On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 18th October 1994Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
- 19th October 1994Write 7/(x + 6) + 7/(x + 3) as a single fraction.
- 20th October 1994y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
- 21st October 1994In a vector proof you find that vector PQ = 2a + 2b and vector RS = 10a + 10b. What does this show about PQ and RS?
- 22nd October 1994A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.
- 23rd October 1994A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
- 24th October 1994A block has mass 440 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 25th October 1994Solve 16x^2 + 8x - 15 = 0.
- 26th October 1994y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 81.
- 27th October 1994A cuboid measures 12 cm by 14 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 28th October 1994A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 29th October 1994On 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?
- 30th October 1994x = 194 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
- 31st October 1994f(x) = 5x + 3. Work out the inverse function f^-1(x).