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Page 1 G e n e r a l I n s t r u c t i o n : T h i s q u e s t i o n p a p e r c o n t a i n s 8 q u e s t i o n s . W r i t e a n s w e r s n e a t l y a n d l e g i b l y . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . M a r k s f o r e a c h q u e s t i o n a r e i n d i c a t e d a g a i n s t i t . 1 . a . T h e s t a n d a r d f o r m o f i s _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . I t h i n k o f a n u m b e r a n d s u b t r a c t 5 f r o m f o u r t i m e s t h e n u m b e r . T h e r e s u l t i s 3 m o r e t h a n t w i c e t h e n u m b e r t h a t I t h o u g h t o f . T h e n u m b e r i s _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) ( b ) 4 2 . a . ( 2 - 1 + 3 - 1 + 4 - 1 + 5 - 1 ) 0 = _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . D i a m e t e r o f t h e s u n i s 1 4 0 0 0 × 1 0 5 m , t h e d i a m e t e r i n s t a n d a r d f o r m i s _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) 1 ( b ) 1 . 4 × 1 0 9 3 . F i n d t h e a r e a o f a r e c t a n g u l a r b o a r d w h i c h i s m l o n g a n d m w i d e . ( 2 ) S o l . L e n g t h o f b o a r d Page 2 G e n e r a l I n s t r u c t i o n : T h i s q u e s t i o n p a p e r c o n t a i n s 8 q u e s t i o n s . W r i t e a n s w e r s n e a t l y a n d l e g i b l y . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . M a r k s f o r e a c h q u e s t i o n a r e i n d i c a t e d a g a i n s t i t . 1 . a . T h e s t a n d a r d f o r m o f i s _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . I t h i n k o f a n u m b e r a n d s u b t r a c t 5 f r o m f o u r t i m e s t h e n u m b e r . T h e r e s u l t i s 3 m o r e t h a n t w i c e t h e n u m b e r t h a t I t h o u g h t o f . T h e n u m b e r i s _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) ( b ) 4 2 . a . ( 2 - 1 + 3 - 1 + 4 - 1 + 5 - 1 ) 0 = _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . D i a m e t e r o f t h e s u n i s 1 4 0 0 0 × 1 0 5 m , t h e d i a m e t e r i n s t a n d a r d f o r m i s _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) 1 ( b ) 1 . 4 × 1 0 9 3 . F i n d t h e a r e a o f a r e c t a n g u l a r b o a r d w h i c h i s m l o n g a n d m w i d e . ( 2 ) S o l . L e n g t h o f b o a r d W i d t h o f b o a r d 4 . B y w h a t n u m b e r s h o u l d b e m u l t i p l i e d t o g e t t h e p r o d u c t a s ? ( 2 ) S o l . L e t b e m u l t i p l i e d b y x S h o u l d b e m u l t i p l i e d b y t o g e t 5 . F i n d 6 r a t i o n a l n u m b e r s b e t w e e n a n d ( 3 ) S o l . 6 R a t i o n a l n u m b e r s b e t w e e n - 3 a n d 5 a r e ( a n y 6 ) ( 3 ) a . S o l v e f o r x : 3 3 x + 3 = 9 x + 4 . Page 3 G e n e r a l I n s t r u c t i o n : T h i s q u e s t i o n p a p e r c o n t a i n s 8 q u e s t i o n s . W r i t e a n s w e r s n e a t l y a n d l e g i b l y . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . M a r k s f o r e a c h q u e s t i o n a r e i n d i c a t e d a g a i n s t i t . 1 . a . T h e s t a n d a r d f o r m o f i s _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . I t h i n k o f a n u m b e r a n d s u b t r a c t 5 f r o m f o u r t i m e s t h e n u m b e r . T h e r e s u l t i s 3 m o r e t h a n t w i c e t h e n u m b e r t h a t I t h o u g h t o f . T h e n u m b e r i s _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) ( b ) 4 2 . a . ( 2 - 1 + 3 - 1 + 4 - 1 + 5 - 1 ) 0 = _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . D i a m e t e r o f t h e s u n i s 1 4 0 0 0 × 1 0 5 m , t h e d i a m e t e r i n s t a n d a r d f o r m i s _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) 1 ( b ) 1 . 4 × 1 0 9 3 . F i n d t h e a r e a o f a r e c t a n g u l a r b o a r d w h i c h i s m l o n g a n d m w i d e . ( 2 ) S o l . L e n g t h o f b o a r d W i d t h o f b o a r d 4 . B y w h a t n u m b e r s h o u l d b e m u l t i p l i e d t o g e t t h e p r o d u c t a s ? ( 2 ) S o l . L e t b e m u l t i p l i e d b y x S h o u l d b e m u l t i p l i e d b y t o g e t 5 . F i n d 6 r a t i o n a l n u m b e r s b e t w e e n a n d ( 3 ) S o l . 6 R a t i o n a l n u m b e r s b e t w e e n - 3 a n d 5 a r e ( a n y 6 ) ( 3 ) a . S o l v e f o r x : 3 3 x + 3 = 9 x + 4 . b . F i n d t h e v a l u e o f S o l . ( a ) 3 3 x + 3 = ( 3 2 ) x + 4 3 3 x + 3 = 3 2 x + 8 A s b a s e s a r e s a m e e q u a t i o n p o w e r s 3 x + 3 = 2 x + 8 ( b ) 7 . R e e n a w a n t s t o d i s t r i b u t e c h o c o l a t e s o n h e r b i r t h d a y t o c h i l d r e n s t a y i n g i n a n o r p h a n a g e s o t h a t t h e y a l s o f e e l g o o d . I f t h e c o s t o f a c h o c o l a t e i s ` 1 0 a n d t h e r e a r e 5 0 c h i l d r e n , h o w m u c h m o n e y w o u l d s h e n e e d , i f s h e g i v e s 2 c h o c o l a t e s t o e a c h c h i l d ? E x p l a i n a n y t w o v a l u e s s h o w n b y h e r . ( 3 ) S o l . N u m b e r o f c h i l d r e n = 5 0 C h o c o l a t e g i v e n t o e a c h c h i l d r e n = 2 T o t a l c h o c o l a t e r e q u i r e d = 1 0 0 C o s t o f 1 0 0 c h o c o l a t e s = 1 0 0 × 1 0 = R s 1 0 0 0 V a l u e s : A n y t w o 8 . a . F i n d t h e v a l u e o f x s u c h t h a t ( 3 - 1 + 6 - 1 + 9 - 1 + 1 2 - 1 ) x ( 3 ) b . 1 m i c r o n i s e q u a l t o m . E x p r e s s t h i s s t a t e m e n t i n s t a n d a r d f o r m . Page 4 G e n e r a l I n s t r u c t i o n : T h i s q u e s t i o n p a p e r c o n t a i n s 8 q u e s t i o n s . W r i t e a n s w e r s n e a t l y a n d l e g i b l y . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . M a r k s f o r e a c h q u e s t i o n a r e i n d i c a t e d a g a i n s t i t . 1 . a . T h e s t a n d a r d f o r m o f i s _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . I t h i n k o f a n u m b e r a n d s u b t r a c t 5 f r o m f o u r t i m e s t h e n u m b e r . T h e r e s u l t i s 3 m o r e t h a n t w i c e t h e n u m b e r t h a t I t h o u g h t o f . T h e n u m b e r i s _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) ( b ) 4 2 . a . ( 2 - 1 + 3 - 1 + 4 - 1 + 5 - 1 ) 0 = _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . D i a m e t e r o f t h e s u n i s 1 4 0 0 0 × 1 0 5 m , t h e d i a m e t e r i n s t a n d a r d f o r m i s _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) 1 ( b ) 1 . 4 × 1 0 9 3 . F i n d t h e a r e a o f a r e c t a n g u l a r b o a r d w h i c h i s m l o n g a n d m w i d e . ( 2 ) S o l . L e n g t h o f b o a r d W i d t h o f b o a r d 4 . B y w h a t n u m b e r s h o u l d b e m u l t i p l i e d t o g e t t h e p r o d u c t a s ? ( 2 ) S o l . L e t b e m u l t i p l i e d b y x S h o u l d b e m u l t i p l i e d b y t o g e t 5 . F i n d 6 r a t i o n a l n u m b e r s b e t w e e n a n d ( 3 ) S o l . 6 R a t i o n a l n u m b e r s b e t w e e n - 3 a n d 5 a r e ( a n y 6 ) ( 3 ) a . S o l v e f o r x : 3 3 x + 3 = 9 x + 4 . b . F i n d t h e v a l u e o f S o l . ( a ) 3 3 x + 3 = ( 3 2 ) x + 4 3 3 x + 3 = 3 2 x + 8 A s b a s e s a r e s a m e e q u a t i o n p o w e r s 3 x + 3 = 2 x + 8 ( b ) 7 . R e e n a w a n t s t o d i s t r i b u t e c h o c o l a t e s o n h e r b i r t h d a y t o c h i l d r e n s t a y i n g i n a n o r p h a n a g e s o t h a t t h e y a l s o f e e l g o o d . I f t h e c o s t o f a c h o c o l a t e i s ` 1 0 a n d t h e r e a r e 5 0 c h i l d r e n , h o w m u c h m o n e y w o u l d s h e n e e d , i f s h e g i v e s 2 c h o c o l a t e s t o e a c h c h i l d ? E x p l a i n a n y t w o v a l u e s s h o w n b y h e r . ( 3 ) S o l . N u m b e r o f c h i l d r e n = 5 0 C h o c o l a t e g i v e n t o e a c h c h i l d r e n = 2 T o t a l c h o c o l a t e r e q u i r e d = 1 0 0 C o s t o f 1 0 0 c h o c o l a t e s = 1 0 0 × 1 0 = R s 1 0 0 0 V a l u e s : A n y t w o 8 . a . F i n d t h e v a l u e o f x s u c h t h a t ( 3 - 1 + 6 - 1 + 9 - 1 + 1 2 - 1 ) x ( 3 ) b . 1 m i c r o n i s e q u a l t o m . E x p r e s s t h i s s t a t e m e n t i n s t a n d a r d f o r m . S o l . ( a ) ( b ) 1 0 - 6Read More
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