PSLE Maths
A car travels from Town A to Town B at an average speed of 60 km/h. It then returns from Town B to Town A at an average speed of 40 km/h. What is the car's average speed for the entire journey?
Let the distance between Town A and Town B be d.
Time taken to travel from A to B: d/60
Time taken to travel from B to A: d/40
Total time taken: d/60 + d/40 = 2d/120 + 3d/120 = 5d/120
Total distance: 2d
Average speed = total distance / total time = 2d / (5d/120) = 2*120 / 5 = 48km/h
Name 8 football clubs in the English Premier League
Arsenal, Man U, Man City, Tottenham, Chelsea, Liverpool, Newcastle, Everton
Name all the Presidents of Singapore
Yusof bin Ishak (1965–1970)
Benjamin Henry Sheares (1971–1981)
Devan Nair (1981–1985)
Wee Kim Wee (1985–1993)
Ong Teng Cheong (1993–1999)
S R Nathan (1999–2011)
Tony Tan Keng Yam (2011–2017)
Halimah Yacob
Thaman Shanmugaratnam
Who was the key figure that opened up modern China to the world?
Deng Xiaoping
Name 5 board games we played.
7 Wonders, Catan, Dead of Winter, Shadows of Camelot, Root, Evolution, Wingspan, Power Grid, Camel Up, Terraforming Mars.
Others: Betrayal at House on the Hill, The Networks, Bang!
Ivan and Helen have an equal number of coins. Ivan has 104 20-cent coins, and some 50-cent coins. Helen has 64 20-cent coins and some 50-cent coins. The total mass of Helen’s coins is 1.134kg.
Who has a higher value of coins?
How much more money is the value of that person’s coins?
If each 50-cent coin weighs 2.7 grams more than a 20-cent coin, calculate the total mass of Ivan’s coins in kilograms.
Helen: 64 20-cent coins + 40 50-cent coins + undetermined 50-cent coins
Ivan: 64 20-cent coins + 40 20-cent coins + undetermined 50-cent coins
In total they should have 104 20- & 50-cent coins, and an undetermined but equal amount of 50-cent coins.
Therefore, to calculate who has the higher value of coins, we just need to get rid of the 64 20-cent coins and the undetermined but equal amount of 50-cent coins on each side of the equation.
(40 x $0.50) – (40 x $0.20) = $12
Then to calculate mass, find out the mass difference between Helen’s and Ivan’s coins:
40 x 2.7g = 108g
Therefore, the mass of Ivan’s coins would be 1.134kg (1,134g) – 108g = 1,026g or 1.026kg
What is the national animal of Scotland?
What are the ambassadors of LTA's Thoughtful Bunch campaign?
Stand-up Stacey
Move-In Martin
Give-Way Glenda
Bag-down Benny
Hush-Hush Hannah
Who was the first person to win the Nobel Prize?
Marie Curie
Full names of upcoming hospitals in Singapore?
1. Eastern General Hospital (EGH) and Eastern Community Hospital (ECH) Campus:
2. Tengah General and Community Hospital (TGCH)
Albert and Bernard have just become friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates:
May 15, May 16, May 19
June 17, June 18
July 14, July 16
August 14, August 15, August 17
Cheryl then tells Albert and Bernard separately the month and the day of her birthday respectively.
Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t know either.
Bernard: At first I didn’t know when Cheryl’s birthday was, but I know now.
Albert: Then I also know when Cheryl’s birthday is.
So when is Cheryl’s birthday?
Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t know either.
By saying that Bernard has no idea of Cheryl’s birthday, we can begin the process of elimination. The only way for him to know would have been if Cheryl had given him the numbers 18 or 19, which only appeared once in the list. As such, 18th June and 19th May are out.
With Albert confirming that Bernard mustn’t have known the answer, we can cross out May or June from the list too.
Bernard: At first I didn’t know when Cheryl’s birthday was, but I know now.
Next, we gotta remove the repeated days from the list – 14 – as we can safely conclude that Cheryl’s birthday must fall on a unique date for Bernard to have been able to figure it out.
We are now left with the following dates:
July 16
August 15, August 17
Albert: Then I also know when Cheryl’s birthday is.
Albert would have known for sure only if he didn’t have to choose between 2 possible dates – meaning August is out.
And that is why the answer is 16th July.
What is Billie Eilish's full name?
Billie Eilish Pirate Baird O'Connell
What are Iswaran's exact charges he was convicted of?
He pleaded guilty to four charges of obtaining, as a public servant, valuable items from Formula One (F1) race promoter Singapore GP’s chairman, Mr Ong Beng Seng, and Mr David Lum, managing director of mainboard-listed construction company Lum Chang Holdings.
Iswaran, 62, also admitted to one charge of obstructing the course of justice.
Draw the Starbucks logo from memory
<Other team judges pass / fail>
What is the capital of Nigeria?
Abuja
You are standing at a fork in the road. One path leads to a village of truth-tellers, who always tell the truth. The other leads to a village of liars, who always lie. A person from one of the villages is standing at the fork, but you don’t know which village they’re from. What is the one question you can ask to determine the correct path to the truth-tellers?
Ask the person:
"If I were to ask someone from your village which road leads to the truth-tellers, what would they say?"
If the person is a truth-teller, they truthfully report what a truth-teller would say, which is the correct path.
If the person is a liar, they lie about what a liar would say, which would also lead to the correct path.
Answer: Ask the above question and follow the indicated path.
Name 10 movies directed by Christopher Nolan
Interstellar, Inception, Dunkirk, Oppenheimer, The Dark Knight, Tenet, Memento, The Prestige, Batman Begins, The Dark Knight Rises
Exact date (month, day) that MBS was opened?
27 April, 2010
How many gifts were given in the song "12 days of Christmas"?
364
What is the total number of Olympic Games?
54 (30 Summer; 34 Winter)
You are kidnapped by a mad scientist who places two identical-looking boxes in front of you. One box contains a life-saving antidote, while the other contains a deadly poison. The scientist explains:
You can ask one yes-or-no question about one box to determine which box has the antidote.
You don’t know if the scientist will answer truthfully or lie.
What question do you ask to guarantee your survival?
Ask the scientist:
"If I were to ask you tomorrow whether this box contains the antidote, would you say yes?"
Reasoning:
If the scientist answers truthfully:
If the box contains the antidote, the scientist will truthfully answer "yes" both today and tomorrow.
If the box contains the poison, the scientist will truthfully answer "no" both today and tomorrow.
If the scientist lies:
If the box contains the antidote, the scientist would lie today and say "no," but tomorrow they would have to lie about their lie, so they’d still say "yes" today.
If the box contains poison, the scientist would lie today and say "yes," but tomorrow they'd lie about their lie, so they’d still say "no" today.
In both cases, the scientist’s answer today ("yes" or "no") will always reflect whether the box contains the antidote.
How many Rings of Power are there in Lord of the Rings?
20
Which/where, and when was the first public housing estate launched by HDB?
Queenstown public housing estate in Singapore was launched in 1956, making it the first public housing estate developed by the Housing and Development Board (HDB).
Name all the countries of the South America continent. (hint: 12)
Argentina
Bolivia
Brazil
Chile
Colombia
Ecuador
Guyana
Paraguay
Peru
Suriname
Uruguay
Venezuela
What does CAPTCHA stands for?
CAPTCHA stands for Completely Automated Public Turing test to tell Computers and Humans Apart.