PSLE Math 2023 Paper 2 Question 13

(Volume and Height of Tank X and Tank Y Question)

The answers below are from our Ten-Year-Series Programme, where our Principal Tutors will be covering the past 10 years of PSLE Math Papers (2014-2023). If you found this helpful and would like detailed video explanations to further aid your understanding, we encourage you to register for our Ten-Year-Series Programme.

The Ten-Year-Series Programme is a part of our Math Bundle, which includes:
1. Ten-Year-Series Programme
2.
Math Intensive Camp
3.
Mock Exams

The majority of our P6 Students will register for our Last Lap Programme, which includes our Signature Math Programme and the Math Bundle.

To get answers to PSLE Math Paper 1, join our Telegram Channel.

Promotional flyer for master PSLE math programs with images of three books: PSLE intensive math booklet, PSLE mock exams, and PSLE ten-year series program, featuring a black background and yellow pencil graphics.

PSLE Math 2023 Paper 2 Question 13

Handwritten notes with mathematical calculations and formulas regarding the volume of water in tanks, with measurements and steps outlined in blue ink on lined paper.

a) Vol. Of water in Take Y at a height of 5cm = 30cm x 20cm x 5cm
      = 3000cm^3

To make the height of water equal in both X and Y, we will need to remove
the extra 5cm of water level from Tank Y.

Total vol. of water in both X and Y (height of water level equal)
= 21400 cm^3 -  3000cm^3
= 18400cm^3

Combined base areas of X and U = (20cm x 10cm) + (30cm x 20cm)
      = 200cm^2 + 600cm^2
      = 800cm^2
Height of water level in X = New total vol. of water ÷ combined base area
   = 18400cm^3 ÷ 800cm^2
    = 23cm

b) Volume of water in TankY at first = 600cm^2 x (23cm + 5cm)
    = 16800cm^3
Vol. of water in Y (Half filled) = 16800cm^3 - 3300cm^3
          = 13500cm^3
Height of tank Y = (13500cm^3 ÷ 600cm^2) x 2
= 22.5cm x 2
= 45cm

Cover page of a book or guide titled 'PSLE Math ten year series by Genius Plus Academy,' featuring a graphic of a hand using a calculator, a calendar, clock, and percentage symbols, with the subtitle '10 Years in 30 Hours.'

PSLE Math Ten-Year-Series Program
(10 sessions across May - Aug)

Guided Zoom tutorials of past 10 years PSLE Math papers with our co-founders + submit answers for grading