Math Stage 7 Paper 1 (2025)

• The exam is for Mathematics Stage 7, Paper 1, to be taken in 2025.
• The exam duration is 1 hour.
• Geometrical instruments and tracing paper is allowed
• Calculators are not allowed.
• The total mark for the paper is 50.

Question 1

• Identify the calculation that results in the largest integer.
• The options are: 40 + 12, –18 + 60, –10 – 70, and 20 – (–35).

Question 2

• A function machine takes an input, applies a function, then gives an output
• The function machine subtracts 7 from the input
• If the input is 6, determine the output.
• If the output is 11, determine the input.

Question 3

• Convert the area of a piece of cloth from 20,000 cm² to square metres.

Question 4

• Place two pairs of brackets in the equation to make it correct
• The equation is 4 + 16 ÷ 2 = 14 – 1 + 3

Question 5

• Calculate the following: 4 × 103 and 9 × –7.

Question 6

• Draw a line parallel to line AB and 3 cm away from it.

Question 7

• Eva randomly picks a whole number from 1 to 20.
• List the following outcomes in order from least to most likely: picking an even number, picking a multiple of 3, and picking the number 10.
• Find the probability that Eva picks a number greater than 17.

Question 8

• Identify the most suitable diagram to record temperatures
• Choose from: dot plot, line graph, scatter graph, or waffle diagram.

Question 9

• Point A has coordinates (4, 7).
• Point B is the new position of point A after a translation of 3 units to the left and 5 units up.
• Determine the coordinates of point B.

Question 10

• Identify the mathematical names of line a and line b in the diagram of a circle with center O, where line b touches the circle at one point.

Question 11

• Mike and Lily's fuel spending in June, July, and August is displayed in a graph.
• Mike spends $120 and Lily spends $144 on fuel in September and add this to the bar graph.
• Calculate the difference between Mike's and Lily's fuel spending in June.
• Identify the month in which Lily spends 10% less on fuel than Mike.

Question 12

• Write the inequality represented on the number line

Question 13

• Triangle T is shown on a grid.
• Reflect triangle T in the y-axis and label the new shape V.
• Rotate triangle T by 90° anticlockwise around point (0, 1) and label the new shape W.

Question 14

• Express 2.5% as a fraction in its simplest form.

Question 15

• The rainfall in March is 75 mm, and in April, it's 105 mm.
• State the ration of rainfall for March : April in its simplest form

Question 16

• Identify the shapes with rotational symmetry of order 2 from the given options.
• Name a quadrilateral with one line of symmetry whose diagonals cross at right angles.

Question 17

• Calculate 1 3/14 + 2 2/7 and provide the answer as a mixed number in its simplest form.

Question 18

• Two cities are 200 km apart.
• They are 4cm apart on the map
• The scale of the map is 1 : n, calculate the value of n.

Question 19

• A machine produces 9 discs every 5 seconds.
• Draw a straight-line graph displaying the number of discs produced over time.
• Calculate the number of discs the machine produces in 1 minute.
• Write a formula to calculate the number of discs, d, produced in t seconds.

Question 20

• Find a possible value for x, where x is between 9.021 and 9.022.
• Find a possible value for y, where y is between 17/8 and 9/4, and express your answer as a mixed number.

Question 21

• Rajiv has a prism with a cross-section that is a polygon with 10 sides.
• Determine the number of vertices and edges of the prism.

Question 22

• Ahmed adds two 4-digit numbers: 4783 + 1_26, where one digit in the second number is hidden.
• The answer to the addition is a multiple of 9, find the hidden digit.
• Chen subtracts two 4-digit numbers: 2747 – 18_2, where one digit in the second number is hidden.
• The answer is a multiple of 6, find one possible value for the hidden digit.

Question 23

• A bell rings every 6 minutes, and a light flashes every 8 minutes.
• Both occur at 9:00 am simultaneously
• Identify the times when the bell rings and the light flashes simultaneously again.
• Possible times are: 9.14 am, 9.36 am, 9.48 am, 10.04 am, 10.12 am, and 11.00 am.

Question 24

• Naomi draws the lines y = −2, y = 6 and x = 3, which form three sides of a rectangle.
• One length of the rectangle is twice the other length.
• Naomi draws a line that forms the fourth side of the rectangle.
• Provide the four possible equations for this line.