Consider the following questions. Willie is putting some snacks on plates. He has 72 satay sticks and 48 chicken wings. He wants both kinds of food on each plate for each guest. He wants to distribute the food evenly and have none left over. What is the greatest number of guests he can serve? Nurul has 3 ropes. Their lengths are 150 m and 175 m respectively. She wants to cut up the 3 ropes such that the resulting pieces are all of equal length and there is no rope left over.
In a shop, candles are sold only in boxes. A box of 7 short candles costs $2.50 and a box of 5 long candles costs $3.20. (a) Dan wants 19 short candles and 3 long candles for his lanterns. What is the least amount of money that Dan will need to spend on the candles? (b) Eva bought 21 more long candles than short candles from the shop. The total number of candles she bought was fewer than 50. How much did Eva spend on the candles altogether? Since (a) is rather straightforward
Minah has a triangular piece of paper ABC with BA = BC. ADC and BEC are straight lines. She folded it along the line DE as shown below. (a) Find angle X (b) Find angle Y Video solution: #Mathsinreallife #MathsHeuristics
Six identical rectangular boxes can be stacked into a cupboard 90 cm wide. Two arrangements are shown below. The first arrangement in Figure A leaves a 42-cm gap at the top. The second one in Figure B leaves a 10-cm gap at the top and another gap at the side. (a) In the arrangement shown in Figure B, what is the width of the gap at the side? (b) What is the height of the cupboard? Video solution #MathsHeuristics
In an earlier blog entry, we discussed the role of trigger activities in the learning of new topics in maths. If you missed that discussion, click here to catch up. The following activities are extracted from the Mad Maths section of the topic of Circles (Primary 6 Mathematics Joyous Learning curriculum) To introduce the topic of Circles to students, show them an animated video clip on the history of the number π. How well do you know the special mathematical constant π? Test
Diagram 1 shows two identical overlapping squares. A vertex of the red square is positioned exactly in the middle of the blue square. The smaller yellow square represents the overlapping area. Diagram 1 In Diagram 2, the red square has been rotated about the vertex pinned to the middle of the blue square by 45⁰. The green triangle represents the new overlapping area. Diagram 2 Question: How does the area of the yellow square compare with the area of the green triangle?
Give a Man a Fish, and You Feed Him for a Day.
Teach a Man To Fish, and You Feed Him for a Lifetime. Help your child develop a mathematician's mind so that he or she can solve problems independently. Mathematics enrichment @ Joyous Learning. We'll teach your child to fish! #MathsHeuristics
Looks easy, until you try to solve it! Sign up online for our Mathematics Trial Lesson to learn more creative ways of solving challenging Maths questions. For more earth-shattering educational tips, subscribe to our newsletter and click the share button below! #MathsHeuristics
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It’s nearing the end of the year. Are you planning to book or have you already booked a vacation with your family? As the free and easy mode of travel gains popularity among young families, the currency exchange rate between Singapore and the country you're travelling to becomes more important in vacation planning. This is because unlike group package tourists who pay for food, admission tickets, transportation and accommodation upfront to the tour agency, free-and-easy trave
The following Multiple-Choice Question (MCQ) appeared in the 2015 PSLE Mathematics paper. Which of the following is likely to be the total mass of 8 one-dollar coins? 6 g 60 g 600 g 6000 g Questions such as this are not meant to promote a feverish trend of students measuring and memorising random data in their everyday life. Instead, they are designed to force students apply textbook knowledge in the context of their everyday lives. Through such questions, the gram is promote
Hip Hip Heuristics is a regular feature of Joyous Learning Mathematics syllabus. In this series, we share a different heuristic method in easy-to-learn 30 second videos. We're making maths fun and digestible our mission. #MathsHeuristics
Inductive Reasoning Optimum scaffolding allows students to arrive at mathematical rules and formulae themselves. Not only does this help them remember the rules better, it also makes Maths fun and rewarding! This point is aptly illustrated through Extract G (part 1), taken from a Joyous Learning Primary Six worksheet on Geometry. Extract G (part 1) Polygons The Oxford English Dictionary defines “polygon” as “a plane figure with at least three straight sides and angles, and ty
Now, some readers might be thinking, and rightfully so, that synergy is an overused, or even misused, word. Hence, it is prudent to look up its meaning before discussion begins in this section. The Oxford English Dictionary (OED) defines synergy as “The interaction or cooperation of two or more organizations, substances, or other agents to produce a combined effect greater than the sum of their separate effects”. The “agents” in this article refer to the different branches or
Authentic contexts are contexts taken from real life. Maths problems situated in authentic contexts help students relate better to what they are learning. Besides this, doing Maths in authentic contexts trains students to continue using their mathematical skills in everyday situations, beyond exams. Compare Extracts C and D, from a Joyous Learning Primary 5 topic Numbers to 10 million. Extract C In 2015, Mr Chan’s company earned $2,732,000 in January, $2,106,000 in February,
These lessons were featured in a Primary 6 Algebra Joyous Learning Worksheet. Extract B (part 1) Mathemagician Go through the following steps mentally: a. Think of a number. b. Multiply this number by 2. c. Add 16 to the result in (b). d. Divide the result in (c) by 2. e. Subtract the number in (a) from the result in (d). What is your answer? Think of another number and go through the steps.
Did you get the same answer? While it is int