Daily Practice · Higher Plus
March 2000 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2000, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2000A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 0.8. How many values in total?
- 2nd March 2000Simplify sqrt(45) + sqrt(125), giving your answer in the form a sqrt(b).
- 3rd March 2000Use the iteration x(n+1) = cube root of (10x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
- 4th March 2000y is inversely proportional to x^2. When x = 3, y = 8. Work out y when x = 2.
- 5th March 2000A cuboid measures 13 cm by 11 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 6th March 2000A bag holds 7 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 7th March 2000On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 8th March 2000A rectangle is 5 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 9th March 2000Work out the nth term of the quadratic sequence -7, 0, 15, 38, ...
- 10th March 2000y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
- 11th March 2000The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
- 12th March 2000A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 13th March 2000A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 1.4. How many values in total?
- 14th March 2000Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
- 15th March 2000The point (1, -3) lies on y = f(x). Write down its image on y = -f(x).
- 16th March 2000y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 9.
- 17th March 2000In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 18th March 2000The probability of winning a game is 1/5. A player expects 10 wins. How many games did they play?
- 19th March 2000On 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?
- 20th March 2000A block has mass 330 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 21st March 2000Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 22nd March 2000A train slows steadily from 18 m/s to rest in 5 seconds. Work out its deceleration.
- 23rd March 2000In a vector proof you find that vector PQ = 4a + 2b and vector RS = 12a + 6b. What does this show about PQ and RS?
- 24th March 2000A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 25th March 2000A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 3.5. How many values in total?
- 26th March 2000x = 199 and y = 128, each correct to the nearest whole number. Work out the upper bound of x - y.
- 27th March 2000f(x) = 4x - 6 and g(x) = 2x + 4. Work out fg(2).
- 28th March 2000y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
- 29th March 2000A cuboid measures 11 cm by 9 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 30th March 2000A bag holds 4 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 31st March 2000On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?