Maths exam papers

G1 Maths exam paper

A free SEC G1 Mathematics paper, the old N(T)-Level Maths, in SEAB's two-paper format: 28 questions for 100 marks, 1 hour 30 minutes a paper, calculator allowed in both. Print it, then check every answer at the end.

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Scholar Tests · Sample paper

G1 Mathematics

28 questions · 100 marks · 180 minutes · no negative marking

Name ______________________ Date ____________

Paper 1: multiple choice (calculator allowed)

Questions 1 to 3, 3 marks each. Circle the letter of the best answer.

  1. 1.

    Write 0.0000012 in standard form.

    1. A12 × 10⁻⁷
    2. B1.2 × 10⁻⁷
    3. C1.2 × 10⁶
    4. D1.2 × 10⁻⁶
  2. 2.

    A taxi charges $7 to start and $8 for each kilometre. Which formula gives the cost, C dollars, for k kilometres?

    1. AC = 8k + 7
    2. BC = 8(k + 7)
    3. CC = 7k + 8
    4. DC = 56k
  3. 3.

    A tile pattern starts with 65 tiles, and 13 more tiles are added at every step. Which rule gives the number of tiles after n steps?

    1. A(65 + 13) × n
    2. B13 × n
    3. C65 + 13 × n
    4. D65 × n + 13

Paper 1: short answers

Questions 4 to 12, 3 marks each. Write your answer on the line.

  1. 4.

    One winter night in Harbin the temperature dropped to −5 °C. The next afternoon it reached 6 °C. How many degrees warmer was the afternoon than the night?

    Answer: ______________

  2. 5.

    A sphere has radius 8 cm. Find its volume, correct to 3 significant figures. Use the π button on your calculator. Give your answer in cm³.

    Answer: ______________

  3. 6.

    y is directly proportional to x. When x = 5, y = 40. Find y when x = 4.

    Answer: ______________

  4. 7.

    A town's population dropped by 20% to 1680 people. How many people were there before the change?

    Answer: ______________

  5. 8.

    A sequence begins 5, 8, 11, 14, … and carries on in the same way. What is the 11th term?

    Answer: ______________

  6. 9.

    A market stall's takings went up from $240 to $780 in a month. By what percentage did it go up? Give your answer as a percentage.

    Answer: ______________

  7. 10.

    Find the value of x.
    7x + 1 = 15

    Answer: ______________

  8. 11.

    The two lines with arrowheads on them are parallel. What is the size of the angle marked with a question mark? Give your answer in degrees.

    Answer: ______________

  9. 12.

    What is 9 squared, take away the square root of 36?

    Answer: ______________

Paper 1: longer questions

Questions 13 and 14, 7 marks each. Write your answer on the line.

  1. 13.

    Ella works at a car wash. Ella is paid a base wage of $300 a week plus 4% of everything Ella sells. How much does Ella earn in a week when Ella sells $2900 of goods? Give your answer in dollars.

    Answer: ______________

  2. 14.

    A stall owner sold 25 candles at $60.50 each. In total this was a profit of $162.50. How much did one of the candles cost the owner? Give your answer in dollars.

    Answer: ______________

Paper 2: multiple choice (calculator allowed)

Questions 1 to 3, 3 marks each. Circle the letter of the best answer.

  1. 1.

    Solve the equation 2x² − 2x − 9 = 0, giving your answers correct to 2 decimal places.

    1. Ax = 1.68 or x = −2.68
    2. Bx = 2.68 or x = −1.68
    3. Cx = 5.36 or x = −3.36
    4. Dx = 9.22 or x = −8.22
  2. 2.

    Simplify 8x + 4y − 5x + y.

    1. A3x + 4y
    2. B3x + 5y
    3. C4x + 5y
    4. D8xy
  3. 3.

    Ben uses the formula v = u + at. Given v = 19, u = 4 and a = 3, what is t?

    1. A15
    2. B23
    3. C3
    4. D5

Paper 2: short answers

Questions 4 to 12, 3 marks each. Write your answer on the line.

  1. 4.

    This graph shows how far Isla and Hugo walk for a given number of paces. Isla takes 300 paces to walk from school to the train station. How many paces does Hugo take to walk from school to the train station?

    Answer: ______________

  2. 5.

    Find the value of x.
    5x + 13 = 2x + 28

    Answer: ______________

  3. 6.

    One winter night in Hokkaido the temperature dropped to −3 °C. The next afternoon it reached 16 °C. How many degrees warmer was the afternoon than the night?

    Answer: ______________

  4. 7.

    y is inversely proportional to x. When x = 2, y = 48. Find y when x = 6.

    Answer: ______________

  5. 8.

    A map has a scale of 1 : 40,000. On the map, a beach and a lighthouse are 2 cm apart. How far apart are they in real life, in kilometres? Give your answer in km.

    Answer: ______________

  6. 9.

    A jar holds 12 counters numbered 1 to 12. Counters 1 to 6 are pink, 7 to 9 are brown and 10 to 12 are silver. One counter is taken out without looking. What is the chance that it is not pink and its number is not a multiple of 3?

    Answer: ______________

  7. 10.

    Find the value of x.
    7x + 13 = 97

    Answer: ______________

  8. 11.

    A pair of boots costs $560. Its price is raised by 20% and the new price is then reduced by 25%. What is the final price? Give your answer in dollars.

    Answer: ______________

  9. 12.

    A school's roll rose by 20% to 840 students. How many students were there before the change?

    Answer: ______________

Paper 2: longer questions

Questions 13 and 14, 7 marks each. Write your answer on the line.

  1. 13.

    A rectangular courtyard measures 11 m by 10 m. Timber costs $15 per square metre. What is the total cost of covering the courtyard? Give your answer in dollars.

    Answer: ______________

  2. 14.

    Ethan works at a garden centre for $29 an hour on weekdays. At the weekend the pay is double. Ethan worked 28 hours on weekdays and 7 hours at the weekend. How much did Ethan earn? Give your answer in dollars.

    Answer: ______________

Answers and working

Paper 1: multiple choice (calculator allowed)

  1. 1.D (1.2 × 10⁻⁶). Move the decimal point so one non-zero digit sits before it: 1.2. The point moved 6 places right, so the power is negative: 10⁻⁶. The answer is 1.2 × 10⁻⁶.
  2. 2.A (C = 8k + 7). 7 is the fixed part and 8 changes with each kilometre. The formula is C = 8k + 7.
  3. 3.C (65 + 13 × n). The 65 counts once and the 13 comes round for every one of the n steps, so only the 13 is multiplied by n: 65 + 13 × n.

Paper 1: short answers

  1. 4.11. From −5 °C up to 0 °C is 5 degrees, and from 0 °C up to 6 °C is 6 more: 11 degrees.
  2. 5.2140. Volume of a sphere = 4/3 πr³. = 4/3 × π × 8³. This is 2140 cm³.
  3. 6.32. Write y = kx, find k from x = 5, y = 40, then put in x = 4: y = 32.
  4. 7.2100. After a 20% decrease the amount is 80% of the original, so the original is 1680 ÷ 0.8. So the answer is 2100.
  5. 8.35. Each term is 3 more than the last, so the nth term is 5 + (n − 1) × 3. For n = 11: 5 + 10 × 3 = 35.
  6. 9.225. The rise is $780 − $240 = $540. A percentage rise is always measured against what you started with, so compare 540 with 240: 540 ÷ 240 = 2.25, which is 225%.
  7. 10.2. Take 1 off both sides to get 7x = 14, then divide by 7: x = 2.
  8. 11.60. The marked angle and the one asked for are in matching positions at the two crossings, so they are equal — the answer is 60°.
  9. 12.75. The square root of 36 is 6, because 6 × 6 = 36. 9 squared is 81, because 9 × 9 = 81. 81 − 6 = 75.

Paper 1: longer questions

  1. 13.416. The commission is 4% of $2900 = $116, so the pay is $300 + $116. So the answer is $416.
  2. 14.54.00. The takings were $1512.50 and the profit was $162.50, so the 25 items cost $1350 in all. So the answer is $54.00.

Paper 2: multiple choice (calculator allowed)

  1. 1.B (x = 2.68 or x = −1.68). Here a = 2, b = −2 and c = −9. x = (−b ± √(b² − 4ac)) / 2a = (2 ± √76) / 4. The answer is x = 2.68 or x = −1.68.
  2. 2.B (3x + 5y). Join only like terms: the x terms make 3x and the y terms make 5y. So it is 3x + 5y.
  3. 3.D (5). v − u = at, so 19 − 4 = 15. Then t = 15 ÷ 3 = 5.

Paper 2: short answers

  1. 4.225. 300 paces puts Isla at 75 metres. Reading 75 metres back down Hugo's line gives 225 paces.
  2. 5.5. Take 2x from both sides: 3x + 13 = 28. Take off 13: 3x = 15. Divide by 3: x = 5.
  3. 6.19. From −3 °C up to 0 °C is 3 degrees, and from 0 °C up to 16 °C is 16 more: 19 degrees.
  4. 7.16. Write y = k/x, find k from x = 2, y = 48, then put in x = 6: y = 16.
  5. 8.0.8. 2 cm on the map is 2 × 40,000 = 80,000 cm in real life, and 100,000 cm make a kilometre. So the answer is 0.8 km.
  6. 9.1/3. Leaving out the pink ones and every one whose number is a multiple of 3 leaves 4 of the 12: 4/12 = 1/3.
  7. 10.12. Take 13 off both sides to get 7x = 84, then divide by 7: x = 12.
  8. 11.504. The rise takes $560 to $672. The reduction comes off THAT price, not the first one: 25% of $672 is $168, leaving $504. Adding the rates would have given $532, which is not the same thing.
  9. 12.700. After a 20% increase the amount is 120% of the original, so the original is 840 ÷ 1.2. So the answer is 700.

Paper 2: longer questions

  1. 13.1650. Area = 11 × 10 = 110 m². Cost = 110 × $15 = $1650.
  2. 14.1218. Weekday pay is $812. The weekend rate is $58 an hour, so the weekend pay is $406. So the answer is $1218.

Written by Scholar Tests to SEAB's G1 Mathematics syllabus (K110). Not an SEC paper. Scholar Tests is not connected with MOE, SEAB or any school.

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    14 questions · 90 minutes

    G1 (was N(T)-Level) Mathematics: number, algebra, geometry and measurement.

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    G1 Mathematics: number, algebra, statistics and probability.

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Questions parents ask

What does the G1 paper cover?
The topics in SEAB's G1 Mathematics syllabus: whole numbers, fractions, decimals and negatives, rounding and standard form, ratio, map scales and proportion, percentage, rates and speed, simple algebra and equations, quadratics by the formula, graphs, angles, triangles and quadrilaterals, Pythagoras' theorem and right-angled trigonometry, area and volume, charts and averages, and the probability of one event.
How is it marked?
Each paper is worth 50, as SEAB's are: 12 short answers at 3 marks, then 2 longer questions at 7. SEAB gives marks for working; we mark the final answer only.
Can my child use a calculator?
Yes, in both papers, as in the SEC G1 Mathematics exam. Set it to degrees for angles, and use its π button.
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A free account includes 3 practice tests. The Singapore pack (S$99 for 6 months) opens unlimited tests and shows the right answer and the working for every question.
Is this a real N(T)-Level or SEC paper?
No. It is written by us in the shape of SEAB's SEC G1 Mathematics papers. Past N-Level papers are copyright and are not used. Scholar Tests is not connected with MOE, SEAB or any school.

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