1418 Words6 Pages

Singapore Mathematical Olympiad for Primary Schools 2004
1. A student multiplies the month and the day in which he was born by 31 and 12 respectively. The sum of the two resulting products is 170. Find the month and the date in which he was born.
2. Given that five whole numbers a, b, c, d and e are the ages of 5 people and that a is 2 times of b, 3 times of c, 4 times of d and 6 times of e, find the smallest possible value of a + b + c + d + e .
First Round
2
Singapore Mathematical Olympiad for Primary Schools 2004
3. Lines AC and BD meet at point O. Given that OA = 40 cm, OB = 50 cm, OC = 60 cm and OD = 75 cm , find the ratio of the area of triangle AOD to the area of triangle BOC.
B A
O C D
4. 1000 kg of a chemical is stored in a container. The chemical is made up of 99 % water and 1 % oil. Some water is evaporated from the chemical until the water content is reduced to 96 %. How much does the chemical weigh now?
First Round
3
Singapore Mathematical Olympiad for Primary Schools 2004
5. A student arranges 385 identical squares to form a large rectangle without overlapping. How many ways can he make the arrangement? [Note: The arrangements as shown in figure (1) and figure (2) are considered the same arrangement.
Figure (1)
Figure (2) ]
6. A bag contains identical sized balls of different colours : 10 red, 9 white, 7 yellow, 2 blue and 1 black. Without looking into the bag, Peter takes out the balls one by one from it. What is the least number of balls Peter must take out to ensure that at least 3 balls have the same colour?
First Round
4
Singapore Mathematical Olympiad for Primary Schools 2004
7. Find the value of
1× 5 ×18 + 2 ×10 × 36 + 3 ×15 × 54 . 1× 3 × 9 + 2 × 6 × 18 + 3 × 9 × 27
8. If the base of a triangle is increased by 10% while its height decreased by 10%, find the area of the new

Related

## Mat 540 Final Exam Papers

908 Words | 4 PagesRESEARCH SCHOOL OF FINANCE, ACTUARIAL STUDIES AND APPLIED STATISTICS First Semester Final Examination (2012) Solutions FINANCIAL STATISTICS (STAT7055) Writing period: 3 hours duration Study period: 15 minutes duration Permitted materials: Non-programmable calculator, paper-based language dictionary, one A4 page with notes on both sides Total Marks: 120 marks INSTRUCTIONS TO CANDIDATES: • Attempt all 5 questions. • Start your solution to each question on a new page. • To ensure full marks show all the steps in working out your solutions. • Selected statistical tables and formula sheets are attached to the back of the examination paper. • Unless otherwise stated, use a signiﬁcance level of α = 5%.

## 6.03 Calorimetric Analysis

22148 Words | 89 PagesCalculate the volume of 0.250 M H2SO4 that contains 0.250 g H2SO4. 0.250 g H2SO4 x 1 mole x 1 L = 0.0102 L 98.12 g 0.250 mole 5. 1.50 g of NaCl is dissolved in 100.0 mL of water. Calculate the concentration. 6.

## Hcr/220 Week 1 Quiz

13117 Words | 53 Pages4,25,000 d.None of these 80. Total property of Ghosh Babu (in Rs.lakh) is (a) 5.0 (b) 7.5 81. (c) 10.0 (d) 12.5. If Ghosh Babu had equal number of gold and silver bars, the number of silver bars he has is (a) 90 (b) 60 (c) 75 (d) 55 CAT 1990 Actual Paper Page 11 Questions 82-84 : The following questions relate to a game to be played by you and your friend. The game consists of a 4 x 4 board (see below) where each cell contains a positive integer.

## Mentos Lab Report Sample

639 Words | 3 PagesEach package of Mentos® will be given a different number of dimples. The first package will have no dimples added, so leave the first package alone. 3. The second package will have one small dimple added to each side. Using a sharp, metal skewer or nail, dig into the center of the Mentos® candy to make a small dimple.

## Math 213 Exam

741 Words | 3 PagesBy how many did she fall short? She fell 4 short. 23 * 5 = 115 115 - 111= 4 [pic] 6. Evaluate: (-34 - -25) ÷ 3 (-34 - -25) ÷ 3 -9 ÷ 3 -3 [pic] 7. Use sets to solve the problem: Results of a survey of fifty students indicate that 30 like red jellybeans, 29 like green jellybeans, and 17 like both red and green jelly beans.

## Person Essay

1010 Words | 5 PagesEOCT Practice-Coordinate Algebra 1. Jacob needs less than 5 C's on his transcript to qualify for UGA. He already has 1 C. At most, how many more C's can he get before he won't be able to go to UGA? Write an inequality and solve. A) x + 1 ≤ 5; x ≤ 4 B) x + 1 ≥ 5; x ≥ 4 C) x + 1 < 5; x < 4 D)x + 1 > 5; x > 4 2.

## Hphys Lab Final Review

312 Words | 2 PagesZing Substances. For ionizing substances, such as NaCl , 1mosm is 1mmole times the number of ions formed when each molecule dissociates. One mmole of NaCl is 58 mg, but when it dissociates, it yields 1 mmole of Na+ (23mg) and 1mmole of Cl ( 35mg). Therefore , 58 mg of NaCl is 2 mOsm of NaCl is put into a beaker and distilled water added to make 1 liter, the osmolarity is 2mOsm/l. A) How many mosm solute will 1 gram of NaCl yield?

## Determination of Equilibrium Constant, Ka and Pka

595 Words | 3 PagesTwenty drops of bromothymol blue was also added to the 150mL beaker. The pH was then obtained using the Vernier pH probe and it read 6.68. The 5mL pipet was then used to transfer 5mL of the green solution to the three 50 mL beakers. A 100mL beaker was obtained and filled with 1.0 M HCl solution and the pipet was used to acquire 1mL of the 1.0 M HCl solution. The 1mL of HCl was then transferred to one of the 50mL beakers turning the color of the solution to yellow.

## Ba111 Week 3 Economics Question Papers

1083 Words | 5 PagesStudent Number: ____________________ Pages: 17 Questions: 39 UNIVERSITY OF TASMANIA EXAMINATIONS FOR DEGREES AND DIPLOMAS June 2010 BEA111 PRINCIPLES OF ECONOMICS 1 Examiners: Dr Sarah Jennings Time Allowed: THREE (3) hours Instructions: • Attempt ALL Sections (A, B and C) of this paper. • Answer Section A multiple choice questions on the GENERAL PURPOSE DATA SHEET provided. Only one response is the best answer for each question in Section A, either option A, B, C or D. Fill in the circle on the GENERAL PURPOSE DATA SHEET with a 2B pencil. Indicating more than one answer will be marked as incorrect – if necessary, ask the invigilator for a fresh General Purpose Data sheet. Make certain you mark your student number on the

## Year 7 Calculator Test Paper

633 Words | 3 Pages…………… (1) 2. 2 7 24 4 5 14 28 16 36 1 From the numbers in the oval, write down all of the (a) square numbers ……………………………………………………………………………… (1) (b) multiples of 14 ……………………………………………………………………………… (1) (c) factors of 14 ……………………………………………………………………………… (1) 3. (a) Simplify (i) 7q + 3q ……………….. (1) (ii) 12w + 3h – 5w + h ……………….. (1) (b) Expand and simplify 2(4j + 8) – 3j ……………….. (2) 2 4. In a school of 1055 pupils, 890 pupils study French and

### Mat 540 Final Exam Papers

908 Words | 4 Pages### 6.03 Calorimetric Analysis

22148 Words | 89 Pages### Hcr/220 Week 1 Quiz

13117 Words | 53 Pages### Mentos Lab Report Sample

639 Words | 3 Pages### Math 213 Exam

741 Words | 3 Pages### Person Essay

1010 Words | 5 Pages### Hphys Lab Final Review

312 Words | 2 Pages### Determination of Equilibrium Constant, Ka and Pka

595 Words | 3 Pages### Ba111 Week 3 Economics Question Papers

1083 Words | 5 Pages### Year 7 Calculator Test Paper

633 Words | 3 Pages