SKH St. Simon s Lui Ming Choi Secondary School Form 1 Mathematics Summer Homework Worksheet

Transcription

1 SKH St. Simon s Lui Ming hoi Secondar School Form Mathematics Summer Homework Worksheet Name: lass: ( ) ate: Teacher: YP hapter irected Numbers. (a) Mark the following points on the number line., 8,, 6, E (b) rrange the above numbers in ascending order.. Evaluate the following. (a) ( ) ( ) ( 7) (b) ( 8 4) ( 0) ( 8 ) (c) ( 7)( )( 9) (d) ( 5)( )( 4) ( 6)( )

2 hapter asic lgebra ab a b. Given M, find the value of M if a, b 4 and c 5. c. Observe the pattern of each of the following sequences, write down the net two terms of the sequence and determine what kind of sequence it is. (a), 7,, 47, 6, (b) 4 096, 04, 56, 64, 6,. Write down two numbers which are both triangular numbers and square numbers.

3 hapter asic Geometr. Referring to the figure, answer the following questions. (a) (b) (c) (d) (e) (f) w z. In the following figures, find the marked angle between the hour-hand and the minute-hand. v E w z 9 6. Find the unknown in each of the following figures. (a) (b) a b 4. Treat point as the lowest point of each of the following solids, draw the solids on the isometric grids. (The numbers in the figures are lengths of sides.)

4 hapter 4 Linear Equations in One Unknown. Solve the following equations. (a) 6 9 (b) 9 (6 ) (c) ( ) 5 (d) For two consecutive odd numbers, 4 times the smaller number is less than 5 times the larger number. Find the two numbers.. **Leo is 0 ears older than enjamin. fter 0 ears, Leo will be times as old as enjamin. Find the current age of enjamin. 4

5 hapter 5 Percentages. Evaluate the following and epress our answers in percentages. (a) 60% (b) 0% 0% (c) 50 40% (d) 60 0%. can of cola has a volume of 75 ml. If Wend has drunk 44% of it, how much cola is left?. Mike bus an air conditioner for $ 70 with a marked price of $ 00.Find the percentage discount. 4. The weight of Ma decreases b % and goes down to 44 kg. Find the original weight of Ma. 5

6 hapter 6 Statistics in ail Life. The following stem-and-leaf diagram shows the scores of S students in a test. (a) What is the score of the student with the best result? (b) Which stem do most of the scores fall into? Scores of S students in a test Stem (tens) Leaf (units) (c) How man students have obtained scores less than 50?. The following pie chart shows the allocation of monthl pocket mone b Kevin. llocation of monthl pocket mone b Kevin Transportation Entertainment Food 45 Shopping 65 Savings (a) What percentage of pocket mone does Kevin allocate to transportation each month? (b) It is known that Kevin has $ 60 pocket mone each month. i. How much does he spend on food each month? ii. If he also saves his monthl spending on entertainment and shopping, how much does he save each month? 6

7 hapter 7 lgebraic Epressions and Polnomials. Simplif the following. 5 4 (a) ( a )(a ) (b) (a b)(4ab ) (c) (a ) 4 (d) ( ) 5 (e) 5 (a b ) (f) 5 8a b (g) 7b b 9 (h) (5 6 ) ( ). Epand the following. (a) ( ) (b) ( )( ) (c) ( ) (d) ( )( 5) 7

8 hapter 8 Smmetr and Transformation. omplete the following reflectional smmetrical figures b taking the dotted lines as the aes of smmetr. (a) (b). In each of the following figures, mark the centre of rotation with and write down the number of folds of rotational smmetr. (a) (b). **In each of the following figures, draw the image according to the given instruction. (a) Translate units downwards and (b) raw the image of rotating the 4 units to the left. figure about point O anti-clockwise through 90. O 8

9 hapter 9 Introduction to oordinates. (a) Mark four points (, 4), ( 5, ), (, ) and (, 4) on the rectangular coordinate plane. (b) Join the points according to the order,,, and. (c) What kind of quadrilateral is? (d) Write down the coordinates of the point of intersection of the two diagonals O (a) Mark four points O(0, 0 ), (, 45 ), (4, 5 ) and (4, 55 ) on the polar coordinate plane. (b) Find O and O I O **Find the area of quadrilateral in the following figure O **The images ' to F' are obtained b transforming the points to F respectivel. omplete the table. Point Transformation Image (, 4) Translate units to the left and units downwards '(, ) (, ) Translate 4 units to the right and unit downwards '(, 4) (, ) Reflect along the -ais '(, ) (, ) Reflect along the -ais '(, 4) E(, ) Rotate about the origin through 80 E '(, ) F(4, 5) Rotate anti-clockwise about the origin through 90 F '(, ) 9

10 Frequenc hapter 0 Statistical Graphs. (a) The following table shows the weights of 40 S girls. omplete the table. Weight (kg) lass boundaries (kg) lass mark (kg) Frequenc (b) Which class interval has the greatest number of girls? What percentage of girls belong to this class interval?. The following histogram shows the distribution of the weights of S students. It is known that the first class interval is 45 kg - 49 kg. (a) What is the class width? Weights of S students (b) Which class interval has the fewest students? How man students are there? (c) How man students are there in S? (d) What percentage of students weigh 64.5 kg or more? Weight (kg) 0

11 hapter Linear Equations in two Unknowns. ccording to the equation, complete the following table and draw the graph of the equation from to on the rectangular coordinate plane given below. 5 4 O 4 5. If (a, ) and (, b) are points on the graph of the equation 6, find the values of a and b.

12 hapter Ratio and Rate. Simplif the following ratios. (a) 8 : 70 (b).5: (c) 45 seconds : hour (d) 6 weeks and das : week and 5 das. If a : 6 7 :, find the value of a.. **It is given that h : m 5: and k : m 4: 9. (a) Find h : k : m. (b) If k 4, find the value of h. 4. car travelled 70 km in hours. (a) Find the speed of the car in km/h. (b) Find the speed of the car in m/s.

13 hapter ngles in Rectilinear Figures. In the figure, is a straight line. Find. E. In the figure, find O 0 5. In the figure, is a straight line. Find In the figure, O, OE and OF are straight lines. Find. F E O 5. In the figure, //, EF is their transversal. Find, and z. F z 5 E

14 6. In the figure, is a straight line. Find and **Find in the following figure E 8. **In the figure, P, Q, PE and EQF are straight lines, // EF. Prove that E //. E P 4 4 Q F 4