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1Mid-Year Examination Specimen Paper 1
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PART I (50 marks)D�rati�n: 1 ���r
1 Simplify
(a) 52__3 − 2 1__4÷52__5 × 6, [1]
(b) 1.2 × 0.025__________0.4 × 50 , [1]
(c) 2.32 + 23 × √____
0.49 _______________9.2 ÷ 4 . [1]
2 Ex�ress 24 × 27 × 50 as a �r�d�ct ��� �rime ��act�rs.
Hence, find √___________
24 × 27 × 50 . [3]
3 It is �iven t�at −4 x<2and3<y7,wherexandyareintegers.Find (a) t�e �east ��ssib�e va��e ��� (y − x), [1]
(b) t�e �reatest ��ssib�e va��e ��� x2 ___2y . [2]
Mid-Year Examination Specimen Paper 1
Marks Obtained
100
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2Mid-Year Examination Specimen Paper 1
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
4 Giventhat2p+r=q − 2
_____p + 1 , ca�c��ate t�e va��e ��� qwhenp=9andr = −17.5. [3]
5 (a) Eva��ate 2.31 × 0.00465, c�rrect t� 2 si�nificant fi��res. Hence, state t�e va��e ��� 0.0231 × 4.65. [2] (b) R��nd ����� 425 011 m2 t� t�e nearest �ectar. [1]
6 Eva��ate 25 − [1.2 − (−5) ÷ 20 − 6] × 2. [3]
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3Mid-Year Examination Specimen Paper 1
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
7 (a) S�btract (4x3 − 7x − 2) ��r�m (3x3 − 5x2+x + 13). [2]
(b) Simplify2xy − 1
_______x − 3 − 7y
______4 . [3]
8 C�m��ete t�e ������win� n�mber seq�ences:
(a) 19, 23, 27, 31, , [1]
(b) 2, 6, 18, 54, , [1]
9 (a) Giventhat 3√___
64 = x, find t�e va��e ��� x2. [2] (b) ��e n�merat�r ��� a ��racti�n is 4 �ess t�an its den�minat�r. S�btractin� 1 ��r�m b�t� its
n�merat�r and den�minat�r �ives 1__2. Find t�e ��racti�n. [3]
10 S��ve t�e ������win� eq�ati�ns: (a) 3(x − 2) − 4(1 − x) = 8 [2]
(b) y+2
_____5 + 1 = y + 1
_____2 [3]
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4Mid-Year Examination Specimen Paper 1
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
11 JaneisnyearsoldandJasonwillbetwiceasoldasJanein5years’time. (a) �rite an ex�ressi�n ���r t�e di����erence in t�eir a�es. [2] (b) I�� Jas�n is 13 years ��der t�an Jane, find Jas�n’s �resent a�e. [3]
12 ��e fi��re be��w s��ws a sq�are inscribed in a circ�e. ��e �erimeter ��� t�e fi��re is 83.6 cm and t�e diameter ��� t�e circ�e is 14 cm. Find t�e area ��� t�e s�aded re�i�n.
(�ake � = 22___7 ) [5]
13 A cy�indrica� b�tt�e is �a���-fi��ed wit� 0.75 l ��� water. �akin� � = 3.142 and �ivin� y��r answers c�rrect t� tw� decima� ��aces, ca�c��ate
(a) t�e radi�s ��� t�e b�tt�e, [2] (b) t�e s�r��ace area ��� t�e b�tt�e t�at is in c�ntact wit� water. [3]
15 cm
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5Mid-Year Examination Specimen Paper 1
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
PART II(50 marks) D�rati�n: 1 ���r
1 Estimate eac� ��� t�e ������win�, �ivin� y��r answer c�rrect t� 1 si�nificant fi��re.
(a) 79.1 ÷ √____
15.9 − 3.013 [2]
(b) √
_____________0.04 × (−0.81)2______________5.1 [2]
2 (a) Simplify3b ___10 × (− 7__8)÷2a3___5 . [2]
(b) Ifu − v2=3 − w _____u + 1 , ca�c��ate t�e va��e ��� wwhenu = 4.5 and v = −2. [2]
3 (a) Find t�e HCF and LCM ��� 18 and 34. [4] (b) (i) Ex�ress 1224 as a �r�d�ct ��� �rime ��act�rs. [1] (ii) Hence, find t�e �east va��e ��� k s�c� t�at 1224k is a �er��ect sq�are. [3]
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6Mid-Year Examination Specimen Paper 1
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
4 (a) Ca�c��ate t�e exact va��e ��� 3√___________
0.008 × 125__________0.027 . [2]
(b) Factorise2c − 6d − 12ad + 4ac. [3]
5 (a) Simplifyy − 1
_____2 − 3 − 2y
______8 +y ___12 . [3]
(b) S��ve t�e eq�ati�n 1__x − 2___5x = 1______2x − 1 . [4]
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7Mid-Year Examination Specimen Paper 1
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
6 Considerthefollowingpattern:
1__1 − 1__3 = 2_____1 × 3
1__2 − 1__4 = 2_____2 × 4
1__3 − 1__5 = 2_____3 × 5
• • • • • •
(a) �rite d�wn t�e 10th �ine in t�e �attern. [1]
(b) Hence, find t�e va��es ��� pandqif1__p − 1__q = 1____180 . [3]
(c) Eva��ate 2_____1 × 3+ 2_____2 × 4+ 2_____3 × 5+…+ 2_______21 × 23+ 2_______22 × 24 . [3]
7 At 08 40, a car �e��t ��wn P forTownQ at an avera�e s�eed ��� 75 km/�. ��e car can trave�45 km ���rt�er i�� it increases its avera�e s�eed by 15 km/� ���r t�e same �eri�d ��� time. Find
(a) thetimeofarrivaltoTownQ ��� t�e car, [3] (b) thedistancebetweenTownPandTownQ. [2]
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8Mid-Year Examination Specimen Paper 1
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
8 In t�e fi��re, BFGandCEF are tw� identica� q�adrants and EFGisastraightline.ItisgiventhatAB=2AD.
A B
D C
E F G
28cm
�akin� � = 22___7 , ca�c��ate (a) t�e �erimeter ��� t�e s�aded re�i�n, [3] (b) t�e area ��� t�e s�aded re�i�n. [2]
Acontainerwithacross-sectionalbaseABGFECD is s��wn in t�e fi��re be��w. ��e ca�acity ��� t�e tank is 19.6 �itres. It is 3___10 fi��ed wit� water. Ca�c��ate
(c) t�e �ei��t ��� t�e c�ntainer, [2] (d) t�e water �eve� i�� 4.9 �itres ��� water is rem�ved ��r�m t�e c�ntainer. [3]
A B
CD
E G
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9Mid-Year Examination Specimen Paper 2
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
PART I (50 marks)D�rati�n: 1 ���r
1 Eva��ate (a) (45 − 18 ÷ 3) ÷ [8 − (−4) + 1], [2] (b) 32 × 3 − 32 + (−3)3. [2]
2 Giventhatd = 4, e = −2 and f = −1, ca�c��ate t�e va��e ��� (a) de − f , [1]
(b) e2+2d − f 3, [2]
(c) √________
5+7e ________4f − 2d 2 . [2]
3 (a) Ex�ress 98 and 210 as t�e �r�d�ct ��� �rime ��act�rs. [2] (b) Hence, find t�e �east ��ssib�e inte�er k s�c� t�at 98k is a m��ti��e ��� 210. [2]
Mid-Year Examination Specimen Paper 2
Marks Obtained
100
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10Mid-Year Examination Specimen Paper 2
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
4 Find t�e exact va��e ���
(a) 1 7__9+5__6 × (−1 3__5)2, [2]
(b) 4.5 + 3. •2•3 − 2.•1. [2]
5 S��ve t�e ������win� ineq�a�ities: (a) 3a < 27 [1]
(b) 5 − 2b>1__3 [1]
(c) 2__9c + 4 < −6 [2]
6 (a) Simplify3x+x __2 − 4 − 5x ______7 . [2]
(b) Fact�rise 4ay − 2a + 4b(5 − 10y). [2]
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11Mid-Year Examination Specimen Paper 2
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
7 �rite d�wn t�e next tw� terms in t�e ������win� n�mber seq�ences: (a) 32, 34, 30, 32, 28, … [2]
(b) 1__2,2__3,3__5,5__8 , … [2]
8 S��ve (a) 1 − 2__3x = 0, [1]
(b) 3.2x − 8.1 = 1.6(1 − x), [2]
(c) x − 1_____2 +5=1__2 − 3 − 12x _______6 . [3]
9 Thereare8moreboysthangirlsinaclass.Therewillbe8moregirlsthanboysafter1__4oftheb�ys wa�k ��t ��r�m t�e c�ass. H�w many c�i�dren are t�ere in t�e c�ass at first? [4]
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12Mid-Year Examination Specimen Paper 2
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
10 A c�bic tank ��� �en�t� 6 cm was 0.4 fi��ed wit� water. An em�ty cy�indrica� beaker, ��� eq�a� radi�s and �ei��t, can ���d �a��� ��� t�e water in t�e tank. Ca�c��ate
(a) t�e ca�acity ��� t�e cy�indrica� beaker, [2] (b) t�e radi�s ��� t�e cy�indrica� beaker, c�rrect t� t�e nearest mm. [3]
11 ��e fi��re be��w s��ws a �rism. ��e v���me ��� t�e �rism is 80 �itres. Ca�c��ate (a) t�e cr�ss-secti�na� area ��� t�e �rism, [2] (b) t�e �en�t� ��� t�e �rism. [1] (c) Given t�at t�e c�st ��� �aintin� is $1 �er 500 cm2, find t�e t�ta� c�st ��� �aintin� 12 s�c�
simi�ar �risms. [3]
50cm
40 cm
110 cm
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13Mid-Year Examination Specimen Paper 2
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
PART II (50 marks) D�rati�n: 1 ���r
1 Mr ��n� �ives 2__5ofhismonthlyincometohiswife,saves1__6oftheremainingmoneyandgivestwice as m�c� as �is savin�s t� �is 3 c�i�dren eq�a��y. He �as $450 �e��t. Ca�c��ate
(a) t�e ��racti�n ��� �is m�nt��y inc�me t�at �e �as �e��t, [3] (b) �is m�nt��y inc�me, [1] (c) t�e di����erence between t�e am��nts received by �is wi��e and eac� ��� �is c�i�d. [2]
2 (a) Sim��i��y t�e a��ebraic ex�ressi�n 2xy − 6x(1 + 3__2x − 7y). [2]
(b) Fact�rise 4a(2b − 6) − (3 − b). [2]
(c) S��ve t�e a��ebraic eq�ati�n 2 − 4__z2 = −0.25. [3]
3 Given t�at � = 4� √______
L_____R − r , find t�e va��e ��� R w�en � = 44, � = 3 1__7 , L = 49 and r = 5. [3]
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14Mid-Year Examination Specimen Paper 2
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
4 Eva��ate eac� ��� t�e ������win� �sin� a ca�c��at�r, �ivin� y��r answer c�rrect t� 2 decima� places:
(a) √______
2.0343 − 540.8_________14.9 × 5.12 [2]
(b) 2_________1 − 3_____
1 + 5__9 [2]
5 Given t�at 0.052 × 84.5 = 4.394, find t�e va��e ���
(a) 5.2 × 0.00845, [1]
(b) 0.04394_______8.45 . [2]
6 ��e t�ta� mass ��� 2 simi�ar b�xes is 550 � �eavier t�an t�e t�ta� mass ��� 5 simi�ar �arce�s. I�� t�e t�ta� mass ��� 5 b�xes and 2 �arce�s is 6 k� 15 �, ��w m�c� �eavier is a b�x t�an a �arce�? [4]
7 ��e arc �en�t� ��� a semicirc�e is 40 cm ��n�er t�an t�e �erimeter ��� a sq�are ��� �en�t� 1.55 m. (a) Ca�c��ate t�e diameter ��� t�e semicirc�e. [3] (b) Hence, find t�e area ��� t�e semicirc�e. [1]
(�ake � = 22___7)
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15Mid-Year Examination Specimen Paper 2
Be GREA¹T! MATHEMATICS (Secondary 1)© Sin�a��re Asia P�b�is�ers Pte Ltd. A�� ri��ts reserved.Re�r�d�cib�e ���r ��me/c�assr��m �se �n�y.S�RIC�LY NO� FOR SALE.L��k ���r �t�er �se���� res��rces: www.sa��r�.c�m
8 St�dy t�e fi��res be��w:
Figure 1 Figure 2Figure 3 Figure 4
(a) C��y and c�m��ete t�e tab�e be��w: [2]
Figuren N�mber ��� dia��na�s, d N�mber ��� identica� trian��es, �1 1 22 2 43 44 8… … …9
(b) Ex�ress (i) dintermsofn, (ii) Tintermsofn. [2]
(c) Hence, find t�e n�mber ��� trian��es in Figure 21. [1]
9 (a) Find t�e LCM ��� 30, 36 and 40. [2] (b) A car man���act�rer wi�� �a�nc� a new series ��� cars, m�de�s X,YandZ,every30months,
3 years and 3 years 4 m�nt�s res�ective�y. It �a�nc�ed t�ese 3 m�de�s ��� cars at t�e same time in Jan�ary 2007. ��en wi�� t�e t�ree m�de�s ��� cars be �a�nc�ed t��et�er a�ain? [4]
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16Mid-Year Examination Specimen Paper 2
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10 (�ake � = 22___7)
(a) Find t�e �erimeter ��� t�e s�aded re�i�n. [3]
(b) A �����w bamb�� ��� t�ickness 7 mm �as a v���me ��� 161.7 cm3.Theinternaldiameter ��� t�e bamb�� is 4.2 cm. Ca�c��ate
(i) its �en�t�, [2] (ii) its s�r��ace area. [3]
1.4 m
2.0m
4.2 cm
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