SECONDARY 1 MATHEMATICS MOCK EXAMINATION 1 …sapgrp.com.sg/sites/default/files/print_sample/4754934_Preface.pdf · MOCK EXAMINATION 1 PAPER 1 Name Class Date Secondary 1 Mathematics

DURATION: 1 hour 15 min

INSTRUCTIONSTOCANDIDATES

Answer all questions.

The number of marks is given in brackets [ ] at the end of each question or part question.The total number of marks in this paper is 50.

The use of approved scientific calculator is expected, where appropriate.If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place.For �, use either your calculator value or 3.142, unless the question requires the answer in terms of �.

50

SECONDARY 1 MATHEMATICS

MOCK EXAMINATION 1PAPER 1

Name Class Date

Secondary 1 Mathematics Mock Exa1 1 6/30/2016 9:54:25 AM

Secondary 1 Mathematics Mock Examinations© Singapore Asia Publishers Pte LtdALL rIGhTS rESErvEd.

�Mock Examination 1 (Paper 1)

1 (a) Express 12.5% as a fraction in its lowest term.

Ans: (a) [1]

(b) Express 4 __ 9 as a recurring decimal.

Ans: (b) [1]

� By writing each number correct to 1 significant figure, estimate the value of

–41.7 _________ √________

9.5 + 6.3 . You must show your working.

Ans: [2]

3 Simplify 2x – 5 ______ 2 – x __ 3 .

Ans: [2]



INSTRUCTIONS TO CANDIDATES





MOCK EXAMINATION 1PAPER �

Name Class Date

50



14Mock Examination 1 (Paper 2)

1 (a) Factorise completely 28mn + 14n – 49n2. [1]

(b) Expand and simplify 6(3x − 5y) + 4(2x – 5y). [2]

� dishwashing liquid is sold in a refill pack and bottle.

Bottle1000 ml for $2.50

Refill600 ml for $1.40

decide, with clear reasons given, whether the refill pack or bottle is better value for money. [3]

3 (a) Find the largest possible integer value of p that satisfies 51 – p 3.5p. [2]

(b) Find the two consecutive numbers such that the difference of twice the greater number and the smaller number is 33. [3]

4 Nicky’s total monthly income consists of the following components:

Basic salary $1200 Commission additional 3% on the total monthly sales Bonus additional $500 for total monthly sales more than $100 000

(a) In June, Nicky managed to achieve the total monthly sales of $85 000. Calculate her total monthly income in June. [2] (b) In August, Nicky’s total monthly income was $5420. Calculate her total monthly sales in August. [3]








MOCK EXAMINATION �PAPER 1

Name Class Date

50




1 (a) A rope is cut into 3 parts in the ratio 3 : 4 : 8. What fraction of the rope is the shortest part?

Ans: (a) [1]

(b) There are four $2 notes and eight $5 notes. Write, in its simplest form, total value of $2 : total value of $5.

Ans: (b) : [1]

� (a) Evaluate 0.301 _______________ 1.459 – 3 √

_______ –13.781 .

Write down all the figures shown on your calculator.

Ans:(a) [1]

(b) Arrange the following numbers in descending order.

42%, – 3 __ 7 , –0.422, 0.42

Ans:(b) , , , [1]

3 Make v the subject of the formula 1 __ v – 1 __ u = 1 __ f .

Ans: [2]








MOCK EXAMINATION �PAPER �

Name Class Date

50



1�Mock Examination 2 (Paper 2)

1 Round off (a) 3 706 319 cm to the nearest hundred metres, [1]

(b) 3 7 __ 9 correct to 2 significant figures. [1]

� Without using a calculator, find the exact value of (a) 14 – 6 × (−12) ÷ 32, [2]

(b) 3 3 __ 4 × 1 1 __ 5 ÷ ( 2 1 __ 7 ) . [2]

3 Four of the exterior angles of a nonagon are in the ratio 3 : 1 : 2 : 4. The remaining exterior angles are each 32º. Find the size of the largest interior angle of the nonagon. [4]

4 (a) Given a = v – u _____ t , find the value of a when v = 8, u = 12 and t = 3. [2]

(b) Factorise completely 15x2– 5xy – 3y + 9x. [2]









Name Class Date

50




1 (a) round off 13.018749 correct to 3 significant figures.

Ans: (a) [1]

(b) Evaluate 10.567 ___________ 2.94 × 2.053 , giving your answer correct to 1 decimal place.

Ans: (b) [1]

� Find the highest common factor of 315 and 750.

Ans: [2]

3 Julie bought a handbag at $5136. The price included 7% Goods and Services Tax (GST).

how much GST did she pay?

Ans: $ [2]


Name Class Date








50



13Mock Examination 3 (Paper 2)

1 By writing each number correct to 2 significant figures, estimate the value of

5.08 × 19.8 __________ √____

24.6 .

Show your working clearly. [2]

� Calculate (a) 3.2 × (−0.4)2 + 5.7, [1]

(b) 3

√_____

– 8 ____ 125 – 4 __ 5 . [1]

3 Louise wishes to buy x pens and (x + 10) rulers for his students. A pen costs $1.50 and a ruler costs 80 cents.

(a) Express, in terms of x, the total amount spent by Louise in buying the pens and rulers. Give your answers in dollar. [2]

(b) Louise has $50. Using inequality, find the maximum number of pens that Louise can buy for his students. [2]









Name Class Date

50




1 (a) Evaluate √________

4.2003 ________ 4.183 – � .

Ans: (a) [1]

(b) Convert 1348 seconds into minutes. Give your answer correct to the nearest minute.

Ans: (b) minutes [1]

� A basin is filled with water from two taps, P and Q. It takes 4 minutes for tap P and 6 minutes for tap Q to fill the basin respectively. If the two taps are turned on together to fill the basin with water, how long does it take to fill the basin with water completely?

Ans: minutes [2]

3 Given that −1 < x 4 and 3 y < 8, where x and y are integers. Find (a) the largest possible value of xy,

Ans: (a) [1]

(b) the smallest possible value of x2 + y2.

Ans: (b) [1]









Name Class Date

50




1 10 years ago, Mr Smith bought a bungalow. he would have made 40% profit if he sold the bungalow 3 years ago. In 5 years’ time, he is expecting to make 50% more profit than 3 years ago. At what price will he be able to sell the bungalow in 5 years’ time if he had sold it at $1 428 000 three years ago? [3]

� Solve, with clear reasons stated, the values of f, g and h. [3]

53ºfg

h

3 Solve

(a) the inequality 3 ______ 2x – 8 5, [2]

(b) 3 __ 4 x – 6 = 1 __ 2 . [2]

4 If 1 __ a : 1 __ b = 3 : 4 and b is 70% of c. Find, in its simplest form, (a) b : c, [1] (b) a __ c . [3]

5 (a) Calculate the size of an interior angle of a 36-sided regular polygon. [2] (b) Given that a regular pentagon has an interior angle aº and an exterior angle bº,

express, in its simplest form, a : b. [2]









Name Class Date

50




1 (a) Evaluate √__________

23.4 – 1.063 – 0.711.

Ans: (a) [1]

(b) Calculate 31.7 + 2 × 51.9 _____________ 0.023 – 0.51 .

Give your answer correct to the nearest ten.

Ans: (b) [1]

� 20 21 22 23 24 25 26 27

From the above list, write down (a) the prime number(s),

Ans: (a) [1]

(b) the smallest possible fraction made up of two different numbers above.

Ans: (b) [1]

3 A group of students were asked to choose their favourite colour. 45 students chose blue and 15 more students chose white.

The results of the survey were represented in a pie chart. The angle of sector in the pie chart that represented the number of students who chose blue was 90º.

Find the angle of sector representing the number of students who chose white.

Ans: [2]









Name Class Date

50




1 The heights ofChingyiandKexin, correct to the nearest cm, are 158 cm and 162 cm respectively. Calculate their least possible total height. [3]

� The graph shows a straight line y = mx + c.

y

x6–4

2

–2

0 42–2

–4

4

6

(a) State the value of c. [1] (b) Find the value of m. [2]


Solutions to Secondary 1 Mathematics Mock Examinations© Singapore Asia Publishers Pte LtdALL rightS rESErvEd.

S�Mock Examination 1

SOLUTIONS mOck examINaTION �

Paper �1 (a) 12.5% = 12.5 ____ 100 = 1 __

8

(b) 4 __ 9 = 0.4

2 –41.7 _________ √________

9.5 + 6.3 = –40 _______ √______10 + 6

= –40 ____ √___

16

= – 40___4

= –10

3 2x – 5 ______ 2 – x __ 3 = 3(2x – 5)

________ 6 – 2x___6

= 6x – 15 – 2x__________6

= 4x – 15_______6

4 (a) No. of new motor vehicles= (6 + 4.5 + 3 + 2.5 + 2.5 + 2.5 + 3) × 10 000= 240 000

(b) difference = (6 – 3) × 10 000= 30 000

5 (1.95)2 = 3.8025�=3.1415...

3.8 = 3.8888 ...�<3.33<(1.95)2<3.8

a=�b = 3.33 c = (1.95)2

d = 3.8

6 (a) £0.65 = US$1

£975 = 975 ____ 0.65 × US$1

= US$1500(b) remaining US dollar = US$(1500 – 1050)

= US$450US$1 = S$1.42

US$450 = 450 ____ 1 × S$1.42

= S$639

7 (a) total time taken = 27 + (27 + 6)= 60 min= 1 h

(b) average speed = total distance _____________ total time taken

= 36 + 36_______1

= 72 km/h

8 (a) apples : pears : total 2 : 3 : 5 96 : 144 : 240

difference = 144 – 96= 48

(b) apples : pears 3 : 2 96 : 64no. of pears (after removal) = 2 __ 3 × 96

= 64no. of pears removed = 144 – 64

= 80

9 (a) interior angle = 180º – 2(18º) = 144º

exterior angle = 180º – 144º = 36º

360º ____ n = 36ºn = 10

(b) decagon

10 area of trapezium = area of circle

1 __ 2 (a + b) × h =�r2

1 __ 2 (x+2)(2×7)=�(7)2

7(x+2)=49�x+2=7�

x =7�–2

11 (a) 294 = 2 × 3 × 72

(b) 196 × 294 × k = perfect cube22 × 72 × 2 × 3 × 72 × k = perfect cube

23 × 3 × 74 × k = 23 × 33 × 76

(23 × 3 × 74) × (32 × 72) = 23 × 33 × 76

k = 32 × 72

= 441

12 (a) ∠ABD = 2xº∠ABD + ∠CDB = 180º (int. ∠s)

2xº + 3xº = 180º5x = 180

x = 36

(b) ∠BEF = ∠ABE (alt. ∠s)yº = 2xº + 2xºy = 4x = 4(36) = 144

13 volume of prism = 2700 cm3

1 __ 2 (6 + 18)(5) × l = 270060 l = 2700

l = 45

14 (a) V = (r + 2)2h________

3

= (4 + 2)2(10)__________

3 = 120

(b) V = (r + 2)2h________

3

3V = (r + 2)2h

3V ___ h = (r + 2)2

r + 2 = ± √___

3V___h

r = –2 ± √___

3V___h

06 Ans_Sec 1 Math MExam.indd 1 7/14/2016 11:34:02 AM

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SECONDARY 1 MATHEMATICS MOCK EXAMINATION 1 …sapgrp.com.sg/sites/default/files/print_sample/4754934_Preface.pdf · MOCK EXAMINATION 1 PAPER 1 Name Class Date Secondary 1 Mathematics