G7 Practice Questions

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1 Name: School: Class: G7 Practice Questions Revision for ADEC T3 Mathematics Exam 5/3/2011 Produced at Malik Bin Anas School, Al Ain Students are expected to use their knowledge and understanding of the content below to solve problems in a range of contexts. Determine the probability of simple events, solve simple probability problems, and recognise complementary events Express the probability of an outcome as a fraction between 0 and 1, and recognise that the sum of the probabilities of all possible outcomes is 1 Add and subtract like terms to simplify expressions Simplify algebraic expressions, using multiplication, division and grouping symbols Substitute into algebraic expressions Expand algebraic expressions by removing grouping symbols Factorise algebraic expressions by finding common factors Solve linear equations and word problems, using algebra Develop and apply Pythagoras theorem Develop formulae and use them to find the area and perimeter of squares, rectangles, triangles and parallelograms and simple composite shapes Investigate and find the area and circumference of circles Describe solids in terms of their faces, vertices and edges, and confirm Euler s formula F + V = E + 2 Make isometric drawings of solids built from cubes

2 يستخدم الطالب معرفتھم واستيعابھم للمحتوى في حل المسائل المتعلقة بالوحدات المذكورة أدناه تحديد االحتماالت لألحداث البسيطة وحل مسائل االحتماالت البسيطة و التعرف على األحداث المتتامة التعبير عن احتمال حدوث نتائج بصورة كسر محصور بين 0 و 1 والتعرف على أن مجموع االحتماالت لجميع النتائج الممكنة ھو 1 جمع وطرح الحدود المتشابھة لتبسيط التعابير الجبرية تبسيط التعابير الجبرية باستخدام الضرب والقسمة ورموز التجميع التعويض في التعابير الجبرية فك التعابير الجبرية بالتخلص من رموز التجميع تحليل التعابير الجبرية بإيجاد العوامل المشتركة حل المعادالت الخطية و المسائل الكالمية باستخدام الجبر استنتاج وتطبيق نظرية فيثاغورس استنتاج قوانين واستخدامھا في إيجاد مساحة ومحيط المربعات والمستطيالت والمثلثات ومتوازي األضالع واألشكال المركبة البسيطة استكشاف وإيجاد مساحة ومحيط الدائرة وصف المجسمات بالنسبة لألوجه والرؤوس والحواف وتأكيد صيغة أويلر ) Euler s F + V = E + 2 (formula تكوين رسم متساوي القياس للمجسمات المصنوعة من المكعبات

3 Q1 Q2 Q3 Q4

4 Q5 Q6 Q7 Q8

5 Q9 Q10

6 Q11 اكتب القسمة التالية 4 (1+X) على صورة كسر as a fraction 4 Write this division (x+1) A 4 x + 1 B X C x +1 4 عدد مطروح منه 2 يعبر عنه بالمقدار الجبري D 4 x + 1 The algebraic expression for a number with 2 subtracted from is Q11 A X+2 B X -2 C D 2X 2 X لدى احمد 5 علب كبريت في كل واحدة n عود ثقاب اكتب المقدار الجبري الدال على عدد اعواد الثقاب لدى احمد Ahmed has 5 boxes of matches. In each box there are n matches. Write the expression for the total number of matches. Q12

7 Q13 m = 5 يمكن تبسيط العبارة f إلى: m = 5 f can be simplified to: m = 5 + f m = 5 f f = 5m m = 5 f (a (b (c (d a) m = 5 + f b) m = 5 f c) f = 5m d) m = 5 f k = 4h فا ن: 3.إذا تم تعويض 3 = h If h = 3 is substituted into the formula في العلاقة k = 4h 3 then: Q14 :2 4 k = 9 (a k = 4 (b k = 10 (c k = 15 (d.أي من العبارات التالية تمثل أضعاف عدد مضافا اليه 4 + n + 2 (a 2 n + 4 (b 4 + n 2 (c 4 n + 2 (d a) k = 9 b) k = 4 c) k = 10 d) k = 15 The expression below which represents 4 times a number and 2 more is: a) 4 + n + 2 b) 2 n + 4 c) 4 + n 2 d) 4 n + 2 Q15

8 Q16.بسط ما يلي Simplify the following 2 x 3 x a x b 5ab 23ab 6ab 9ab (a (b (c (d a) 5ab b) 23ab c) 6ab d) 9ab 2 x 3 x a x b b x b بسط ما يلي 2b (a b² (b bb (c b(b) (d Simplify the following a) 2b b) b² c) bb d) b(b) b x b Q17 Q18 Simplify the following.بسط ما يلي 4(x + 2) 4x + 2 6x 4x² 4x + 8 (a (b (c (d a) 4x + 2 b) 6x c) 4x² d) 4x + 8 4(x + 2)

9 below. Solve the equation.حل المعادلة التالية. Q19 10 = x = x + 6 x = 6 x = 2 x = 4 x = 10 (a (b (c (d a) x = 6 b) x = 2 c) x = 4 d) x = 10 Solve the equation below.حل المعادلة التالية Q20 2x = 10 2x = 10 x = 5 x = 6 x = 0 x = 10 (a (b (c (d a) x = 5 b) x = 6 c) x = 0 d) x = 10. حل المعادلة التالية Solve the equation below Q21 y + 7 = 2y - 3 y + 7 = 2y - 3 y = 5 y = 3 y = 10 y = 20 (a (b (c (d a) y = 5 b) y = 3 c) y = 10 d) y = 20

10 expressions: Simplify the following اكتب العبارات التالية با بسط صورة: Q22 12 h + 7h + 3h (a a) 12 h + 7h + 3h 2 xy 4x + 3yx (b b) 2 xy 4x + 3yx (c c) 3 a 4b 5c 3 a 4b 5c ( d 16 pqr 4 pr d) 16 pqr 4 pr يحتاج حمد إلى 60 درهما لرحلة صفية يملك منها حاليا 32 درهم. يستطيع أحمد أن يكسب 4 دراهم في الساعة من تنظيف الا رصفة. إذا كانت المعادلة التالية تصف هذه العلاقة فكم عدد الساعات التي يجب أن يعملها حمد ليجمع المبلغ المطلوب Q23 Hamad needs 60 Dhs for a class trip. He has 32 Dhs. He can earn 4 Dhs an hour sweeping driveways. If the equation shows this relationship, how many hours must Hamad work to have the money he needs? 4 h + 32 = 60 4 h + 32 = 60

11 .حلل إلى العوامل 4x 6 (a Factorize the following. a) 4x - 6 Q24 15x x (b b) 15x x Write the expression below factorizing into single.اكتب العبارة الجبرية التالية وذلك بتحليلھا إلى حدود منفصلة terms a) 10yz Q25 10yz (a equations. Solve the following.حل المعادالت لتالية Q26 x 4 = 12 (a a) x 4 = 12

12 3x = 15 (b b) 3x = 15 2y + 3 = 15 (c c) 2y + 3 = 15 3(x 5) = 21 (d d) 3(x 5) = 21 3x + 2 = 5x 6 (e e) 3x + 2 = 5x 6 5x - 12 = 3x - 20 (f f) 5x - 12 = 3x - 20 Q27

13 Q28 Q29

14 Q30 Q31

15 Q32 كم تبلغ مساحة ھذا الشكل : The area of this shape is 13mm 16mm A B 208 mm² 280mm² C 288mm² D 830mm² Q33 parallelogram? What is the perimeter of this ما محيط متوازي األضالع في الشكل 12 cm NOT TO SCALE 5 cm

16 مساحة الشكل المرسوم أدناه ھي: Q34 The Area of the shape below is: A B C D 2 cm30 cm cm cm 2 π ما ھي القيمة التقديرية ل What is the approximate value of π? Q35 A B C D 1.842

17 يقوم سالم ببناء سياج لزريبته لمنع الجمال من الخروج منھا. سيقوم أيضا ببناء مأوى في زاوية من الزريبة لحماية الجمال من أشعة الشمس. Q36 Salem is building a fence for a yard to keep his camels in. He will also build a shelter in one corner of the yard to provide them with shade. 15m Shelter 6m 11m 4m 3m 8m كم مترا يحتاج لسياج محيط الزريبة A Calculate how many metres of fencing he will need to go around the outside of the pen. shelter? B What is the area of the كم تبلغ مساحة المأوى اإلجابة

18 Q37 19.مساحة الشكل في ما يلي ھي 10 سم ². اي من المعادالت التالية تعب ر عن مساحة ھذا الشكل صحيحة بطريقة xcm 1. The area of the shape below is 10cm 2. Which equation correctly demonstrates this information? xcm ycm ycm xy = 10 x + y = 10 2x + 2y = 10 x = y (a (b (c (d a) xy = 10 b) x + y = 10 c) 2x + 2y = 10 d) x = y Q38 ي ظھر الرسم البياني أدناه دائرة. The diagram below shows a circle. NOT TO SCALE 4 mm كم تبلغ مساحة الدائرة What is the area of the circle?

19

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